Uchunguzi wa Mtetemo wa Vifaa vya Majini

Published by Nikolai Shelkovenko on

Kumbukumbu ya Kiufundi

Uchunguzi wa Mtetemo wa Vifaa vya Majini

A practical guide to measurement methods, signal analysis, fault detection, shaft alignment, field balancing, and condition monitoring for rotating machinery on ships and offshore installations.

Vibromera Engineering Team · Standards: ISO 20816 · ISO 20283 · ISO 21940-11

At a glance

What: vibration-based condition monitoring and fault diagnosis of shipboard rotating machinery — engines, shaft lines, pumps, fans, generators, turbochargers.
Key standards: ISO 20816 series (formerly ISO 10816) for machine vibration, ISO 20283 series for vibration measured on ships, ISO 21940-11 (formerly ISO 1940-1) for rotor balance quality.
Core methods: broadband RMS trending, FFT spectrum analysis, envelope analysis for bearings, order tracking for variable-speed machinery, single- and two-plane field balancing.
Why it matters: early fault warning measured in weeks, fewer unplanned failures at sea, and maintenance planned around port calls instead of emergencies.

1. Misingi ya Uchunguzi wa Kiufundi

Kwa nini uchambuzi wa mtetemo umekuwa mbinu kuu ya ufuatiliaji wa mashine za baharini zinazozunguka — na ni mbadala zipi zipo.

1.1 Kanuni za Uchunguzi

Utambuzi wa kiufundi ni taaluma ya kutathmini hali ya sasa ya mashine na kutabiri jinsi hali hiyo itakavyobadilika baada ya muda. Kwa vifaa vya baharini, kazi hii ni muhimu sana: hitilafu isiyopangwa baharini inaweza kuhatarisha wafanyakazi, mzigo, na meli yenyewe.

Wazo kuu ni rahisi. Kila kipande cha mashine inayozunguka hutoa ishara za kimwili zinazoweza kupimwa — mtetemo, joto, mionzi ya akustika, uchafuzi wa mafuta, na nyingine. Kadri vipande vya ndani vinavyochakaa, kupasuka, kutu, au kufunguka, ishara hizo hubadilika kwa njia inayoweza kutabiriwa kwa kawaida. Programu ya ufuatiliaji wa kimfumo hugundua mabadiliko haya mapema, huyaainisha kwa aina na ukali, na kulisha mapendekezo kwenye ratiba ya matengenezo.

Key Terms

Term Definition Marine Example
Kigezo cha utambuzi Kiasi kinachoweza kupimwa ambacho kinahusiana na hali ya vifaa Kasi ya mtetemo ya RMS kwenye nyumba ya beari ya pampu
Dalili ya utambuzi Mchoro maalum katika data iliyopimwa Mtetemo ulioinuliwa katika mzunguko wa kupita kwa usinga katika pampu ya sentrifugali
Ishara ya utambuzi Dalili inayotambulikana ya hali fulani Mikanda ya pembeni karibu na mzunguko wa mwingiliano wa meno ya gia ikisema uzoefu wa jino
Algoriti ya utambuzi Utaratibu (wa mkono au wa kiotomatiki) unaounganisha data iliyopimwa na kategoria ya hitilafu Seti ya sheria za mfumo-mtaalamu inayotambua masafa ya kasoro za gia za mzunguko katika wigo wa envelope

Mtiririko wa Jumla wa Uchunguzi wa Utambuzi

Ukusanyaji wa data Uuzaji wa ishara Utambuzi wa mfumo Uainishaji wa hitilafu Tathmini ya Ukali Hatua ya matengenezo

Katika mazoezi, mtiririko huu ni wa kurudia: iwapo mfumo haulingani na hitilafu yoyote inayojulikana, mchambuzi anarudi nyuma, anaboresha usindikaji, anaongeza pointi mpya za kipimo, au analinganisha na mbinu nyingine za utambuzi (thermografia, uchambuzi wa mafuta, upimaji wa ultrasound).

Uchunguzi wa Kifungu dhidi ya Uchunguzi wa Benchi ya Majaribio

Uchunguzi wa kifungu cha kawaida hukusanya data wakati mashine inafanya kazi chini ya mzigo wa kawaida. Inaonyesha hali halisi za uendeshaji lakini inazuia majaribio unayoweza kufanya — huwezi, kwa mfano, kusukuma mshtuko wa bandia kwenye pampu inayopeleka maji ya kupoza kwenye injini kuu.

Uchunguzi wa benchi ya majaribio (tester) hutumia msisimko unaodhibitiwa — nyundo ya athari, kisambazaji cha swept-sine, au sawa — kwa kawaida wakati wa kuzima. Inafunua masafa ya asili, vitendaji vya uhamisho, na sifa za kimuundo ambazo uchunguzi wa kifungu cha kawaida hauwezi kutoa. Kwenye meli, ugumu wa vitendo ni dhahiri: kuzima kwa mifumo muhimu ni ghali na wakati mwingine haiwezekani.

Practical note

A good shipboard programme combines both approaches. Routine functional monitoring covers the large majority of the machinery inventory, while test-bench methods are reserved for commissioning, troubleshooting, and critical systems.

Kuchagua Kinachohitaji Kufuatiliwa

Si kila mashine kwenye meli inastahili kiwango sawa cha umakini. Kuchagua vigezo vya kufuatilia kwenye vifaa gani kunahitaji usawa kati ya ufunikaji wa uchunguzi na gharama za vitendo. Vigezo vya kawaida vya uteuzi ni pamoja na unyeti kwa ukuaji wa hitilafu, urudiaji wa kipimo, gharama ya sensor na ufungaji, na umuhimu wa kifaa chenyewe.

1.2 Mikakati ya Matengenezo

Sekta ya usafiri wa baharini imepita katika falsafa nne kuu za matengenezo, kila moja ikiwa na muundo tofauti wa uwiano wa gharama na hatari.

Strategy Approach Strengths Weaknesses
Reactive Endesha hadi kushindwa, rekebisha baada ya kuharibika Uwekezaji mdogo wa awali Muda wa kukosa kazi ambao hauwezi kutabirika, hatari ya usalama, uharibifu wa sekondari
Matengenezo ya kuzuia (kulingana na muda) Ukarabati wa vipindi maalum bila kujali hali halisi ya mashine Ratiba inayoweza kutabirika Matengenezo kupita kiasi, ubadilishaji wa vipande usio wa lazima
Kulingana na hali halisi (CBM) Fanya matengenezo wakati vigezo vilivyopimwa vikizidi mipaka iliyowekwa Uingiliaji kati unaofanywa kulingana na mahitaji halisi Inahitaji ujuzi wa uchunguzi wa kiufundi na vifaa maalum
Proactive / Reliability-centred Tambua na uondoe visababishi vikuu vya hitilafu Uaminifu wa juu zaidi wa muda mrefu Uwekezaji mkubwa wa awali, mabadiliko ya utamaduni wa kazi

Most modern fleets use a combination. Critical propulsion and power-generation machinery gets condition-based or proactive maintenance. Auxiliary equipment may still follow time-based schedules or even run-to-failure where spares are cheap and consequences are minor. Vibration analysis is the backbone of the CBM layer.

Mfano

A container ship's cooling-water pumps were previously overhauled every 3 000 operating hours. After implementing vibration-based condition monitoring the operator extended intervals to 4 500 hours while substantially reducing unplanned failures. Programmes of this kind typically pay for themselves within the first year or two of operation.

1.3 Mtetemo kama Ishara Kuu ya Uchunguzi wa Kiufundi

Uchambuzi wa mtetemo unatawala ufuatiliaji wa hali ya mitambo ya baharini kwa sababu kadhaa zinazohusiana:

  • Mashine zote zinazozunguka huzalisha mtetemo — haihitajiki msisimko wowote wa ziada.
  • Hitilafu hubadilisha mifumo ya mtetemo kwa njia zinazojulikana vizuri na zinazolingana na kila aina ya kasoro.
  • Vipimo havivurugii uendeshaji na vinaweza kufanywa wakati mashine inafanya kazi kawaida.
  • Muda wa onyo la mapema kwa kawaida hupimwa kwa wiki au miezi, si masaa.
  • Mbinu hii ni ya kiidadi — matokeo yanalingana moja kwa moja na maeneo ya ukali yaliyofafanuliwa na viwango vya kimataifa.

The methodology moves through six stages: baseline establishment, trend monitoring, anomaly detection, fault classification, severity assessment, and prognosis (remaining useful life). Each stage draws on a different toolbox — from simple RMS trending at the first stage to uchambuzi wa envelope, cepstrum, and machine-learning classifiers at the later ones.

Hali za Mfumo

State Indicators Hatua Inayopendekezwa
Nzuri Mtetemo mdogo, imara; hakuna masafa ya kasoro Endelea na ratiba ya kawaida ya ufuatiliaji
Acceptable Viwango vilivyoinuka lakini vimara Ongeza mzunguko wa ufuatiliaji, chunguza chanzo cha msingi
Unsatisfactory Viwango vya juu au mwelekeo wa kuongezeka Panga matengenezo wakati wa fursa inayofuata
Unacceptable Viwango vya juu sana au kuharibika kwa kasi Zima au punguza mzigo mara moja; matengenezo ya dharura

Mtazamo wa Kiuchumi

Faida ya uwekezaji katika mipango ya mtetemo wa meli inatofautiana, lakini uwiano wa 5:1 hadi 10:1 mara nyingi hutajwa katika fasihi. Sehemu kubwa ya akiba inatoka vyanzo vitatu: kuepuka uharibifu mkubwa wa sekondari (bearing iliyoshindwa inayoharibu shimu), kurefusha muda wa maisha ya vipande kwa kuondoa ukarabati usio wa lazima, na kupunguza gharama za ukarabati wa dharura bandarini ikilinganishwa na kazi iliyopangwa ya karakana ya meli.

2. Vibration Physics, Units and Standards

Displacement, velocity, acceleration — the three faces of vibration, and the ISO framework used to judge how much is too much.

2.1 Vigezo Muhimu vya Msingi

Mtetemo ni mwendo wa mzunguko wa mfumo wa mitambo karibu na nafasi ya usawa. Unaelezwa na viwango vitatu vya kinematiki vilivyounganishwa, kila kimoja kikifaa katika masafa tofauti ya frequency.

Displacement:   x(t) = A · sin(ωt + φ)
Velocity:       v(t) = A·ω · cos(ωt + φ)
Acceleration:   a(t) = −A·ω² · sin(ωt + φ)

A — amplitude  |  ω = 2πf — angular frequency  |  φ — phase angle

Because velocity scales linearly with frequency (the ω factor) and acceleration scales with ω², the three parameters have very different sensitivities across the spectrum. This is the practical reason engineers choose one over another.

Parameter Unit Masafa Bora ya Mzunguko Matumizi ya Kawaida ya Baharini
Displacement μm (kilele-hadi-kilele), mils Below ≈ 10 Hz Injini kubwa za dizeli za mwendo wa polepole, mwendo wa shimu wa jamaa
Velocity mm/s (RMS) 10 Hz – 1 kHz General machinery monitoring; ISO 20816 / legacy ISO 10816 evaluations
Acceleration m/s² au g (kilele) Above ≈ 1 kHz Uchunguzi wa bearing za vipande vinavyoviringika, meno ya gia, pampu za mwendo wa kasi

Vipimo vya Takwimu

RMS (root mean square) inawakilisha amplitudi ya ufanisi na inahusiana na maudhui ya nishati ya mtetemo. Ni kipimo cha kawaida cha tathmini ya ukali kulingana na ISO.

Peak value inakamata amplitudi ya juu zaidi ya wakati huo — muhimu kwa kugundua mipigo na matukio ya muda mfupi.

Thamani ya kilele-hadi-kilele inatoa mwamko wote kutoka kilele chanya hadi kilele hasi. Hutumiwa sana kwa vipimo vya uhamishaji na uchambuzi wa nafasi za kiufundi.

Crest factor is the ratio of peak to RMS. The absolute value depends on the machine type, measurement bandwidth, and operating regime — a pure sinusoid gives ≈1.4, and a healthy rotating machine commonly falls around 3–4 — so there is no single universal "normal" number. What matters diagnostically is the trend: a rising crest factor indicates growing impulsiveness, a common early sign of bearing surface defects or impacts.

Mfano wa uchunzuzi

Sababu ya kilele ya beari ya pampu ya mizigo iliinuka kutoka 3.2 hadi 7.8 kwa muda wa wiki sita huku RMS ya jumla ikibaki karibu bila mabadiliko. Hiyo tofauti — nishati thabiti, msongo unaoongezeka — ni alama ya awali ya kasoro ya beari. Ukaguzi uliofuata ulithibitisha shimo kwenye njia ya nje ya beari.

2.2 Aina za Mtetemo katika Mifumo ya Baharini

Mashine za baharini huzalisha makundi kadhaa ya mtetemo, kila moja ukitokana na utaratibu tofauti wa kimwili.

Kwa Chanzo cha Msisimko

  • Free vibration — mfumo unatetemeka katika mzunguko wake wa asili baada ya msisimko wa muda mfupi (kuanza, kusimama, mpigo).
  • Mtetemo wa kulazimishwa — msisimko unaoendelea kwa mzunguko unaohusiana na kasi ya mzunguko, idadi ya mapezi, au usambazaji wa umeme. Sehemu kubwa ya mtetemo wa hali thabiti ni wa kulazimishwa.
  • Mtetemo wa kujichochea — mashine huunda msisimko wake wenyewe kupitia utaratibu wa maoni ya ndani: oil whirl katika beari za jounal, flutter ya aerodynamic, msuguano wa stick-slip.
  • Mtetemo wa parametriki — ugumu au udhibiti wa mfumo unabadilika kwa kipindi, ukisukuma nishati kwenye mwitikio. Jino la gia lililonyofyeka ambalo hubadilisha ugumu wa kushikamana mara moja kwa kila mzunguko ni mfano wa kawaida.

Kwa Uhusiano na Kasi

  • Sawa na mzunguko (inayohusiana na oda) — frequency is an integer or simple rational multiple of shaft speed. Unbalance (1×), misalignment (2×), and looseness (many harmonics) belong here.
  • Asynchronous — frequency is not an integer multiple of shaft speed. Bearing defect frequencies, electrical line-frequency harmonics, and belt-slip vibration fall in this category.

By Direction

Radial mtetemo (perpendicular kwa shimu) hutawala katika vifaa vingi vinavyozunguka na ndiyo mwelekeo wa kwanza unaopimwa. Axial mtetemo (sambamba na shimu) unaashiria matatizo ya beari ya msukumo, matatizo ya kuunganisha, na nguvu za aerodynamic. Torsional mtetemo (mzunguko kuhusu mhimili wa shimu) unahitaji vihisi maalum na hufuatiliwa hasa kwenye mifumo mirefu ya kusukuma ambapo resonansi ya torsionali inaweza kuwa ya uharibifu.

Masafa ya Asili na Resonansi

Kila mfumo wa kimwili una masafa ya asili yanayoamuliwa na uzito wake, ugumu, na udhibiti wa mtetemo. Wakati masafa ya msisimko yanakaribia masafa ya asili, mwitikio huongezeka — wakati mwingine kwa mara 10 au zaidi. Katika mashine zinazozunguka, makutano haya yanaitwa kasi za muhimu.

Design rule

Operating speed should be separated from all identified critical speeds by at least 15–20 %. Running persistently within this margin risks resonance-driven fatigue and rapid failure.

Vyanzo vya Mtetemo

Mechanical — kutokuwa na usawa, kutopangika, kasoro za beari, ulegezaji, matatizo ya gia, upinde wa shimu. Masafa kwa kawaida yanahusiana na kasi ya shimu na jiometri ya sehemu.

Electromagnetic — kasoro za baa za rotori, kupotoka kwa steta, kutokuwa na usawa wa voltage ya usambazaji. Masafa yanazingatia mara mbili ya masafa ya mstari (100 Hz kwa usambazaji wa 50 Hz, 120 Hz kwa 60 Hz) na mara nyingi zake.

Haidroliki / aerodynamiki — kupita kwa bawa, kavitesheni, msukosuko, mzunguko wa kurudi. Masafa ya kupita kwa bawa yanalingana na idadi ya mabawa mara masafa ya mzunguko; kavitesheni hutoa kelele ya nasibu ya banda pana iliyokolezwa juu ya 1–2 kHz.

2.3 Vitengo na Viwango

Vipimo vya mtetemo hutumia mizani ya mstari na ya logarithmic (desibeli). Mfumo wa desibeli hupunguza safu pana za nguvu na kusisitiza mabadiliko ya jamaa:

dB = 20 · log₁₀(measured value / reference value)

Reference values are standardised in ISO 1683: 10⁻⁹ m/s (1 nm/s) for velocity and 10⁻⁶ m/s² (1 μm/s²) for acceleration. Always state the reference when reporting levels in decibels.

ISO 20816 (formerly ISO 10816) — Vibration on Non-Rotating Parts

The ISO 10816 series was historically the most widely used framework for evaluating machinery vibration measured on non-rotating parts (bearing housings). It is being superseded by the ISO 20816 series: ISO 20816-1:2016 replaced both ISO 10816-1 and ISO 7919-1, and ISO 20816-3:2022 replaced ISO 10816-3 for industrial machinery rated above 15 kW. The four-zone evaluation logic (A through D) remains the same in both series; the numerical limits depend on machine group and support class.

The table below shows example zone boundaries for one specific classification (ISO 10816-3 / ISO 20816-3, Group 2 machines 15–300 kW, rigid support). These values are not universal — always consult the part of the standard that applies to your machine type, power range, and mounting.

Zone Condition Velocity RMS (Group 2, rigid support) Guidance
A Nzuri up to 1.4 mm/s Iliyoanzishwa hivi karibuni au iliyohudumiwa hivi karibuni
B Acceptable 1.4 – 2.8 mm/s Uendeshaji wa muda mrefu bila vikwazo
C Unsatisfactory 2.8 – 4.5 mm/s Uendeshaji wa muda mfupi; panga kazi za ukarabati
D Unacceptable > 4.5 mm/s Uharibifu unawezekana; hatua ya haraka inahitajika

Marine and Machine-Specific Standards

Beyond the general machinery series, several standards address ships and specific machine types directly:

Standard Scope
ISO 20283-2 Measurement of vibration on ships — structural vibration of the hull and superstructure
ISO 20283-3 Pre-installation vibration measurement of shipboard equipment
ISO 20283-4 Measurement and evaluation of vibration of the ship propulsion machinery
ISO 20283-5 Vibration with regard to habitability on passenger and merchant ships (crew and passenger comfort)
ISO 10816-6 Reciprocating machines with power ratings above 100 kW — marine diesel engines fall in this category
ISO 8528-9 Vibration measurement and evaluation of reciprocating-engine generating sets
ISO 7919 series Shaft vibration measured on rotating shafts with proximity probes (its parts are progressively merged into ISO 20816)
API 610 Centrifugal pumps — vibration acceptance criteria used in offshore and cargo-handling applications

Machine Groups and Support Classes

Under the ISO 10816-3 / ISO 20816-3 framework the primary groups for industrial machinery are: Group 1 — large machines rated above 300 kW and up to 50 MW; Group 2 — medium machines rated 15–300 kW. Separate provisions exist for pumps depending on whether the driver is integrated or external. Limits are further split by support stiffness.

A support system is considered rigid when the lowest natural frequency of the machine-plus-foundation assembly is well above the principal excitation frequency — a common practical guideline is at least 25 % above. Flexible supports have their lowest natural frequency below the excitation frequency, which amplifies housing vibration and is assigned more lenient acceptance limits. The distinction should be verified by measurement (impact test) rather than assumed from construction appearance alone — this matters on ships, where resiliently mounted machinery is common.

Pointi za Kupima

Standards prescribe measurement on bearing housings, as close to the load zone as practical, in three directions: horizontal radial, vertical radial, and axial (usually at the drive-end bearing only). Measurements should be taken under stable operating conditions — rated speed and representative load — and averaged over a period long enough to capture any cyclic variation.

Onyo la Meli

Mwendo wa meli, hali ya bahari, na upakiaji wa mizigo vinaweza kuathiri matokeo ya vipimo vya mtetemo. Mazoea mazuri yanajumuisha kurekodi hali hizi pamoja na kila kipimo na kuchuja au kuweka alama data iliyokusanywa katika hali mbaya ya hewa.

3. The Marine Operating Environment

What makes vibration work on a ship different from the same work in a factory — variable speeds, a flexible steel foundation that floats, and a propeller at the end of the shaft line.

3.1 Variable Speed and Load

Unlike most industrial plant, marine propulsion machinery rarely sits at one speed. Main engines follow bridge orders, generators pick up and shed electrical load, and vessels with controllable-pitch propellers change load at constant shaft speed. For diagnostics this has two consequences:

  • Spectra smear. A conventional FFT taken while speed drifts spreads each rotational component over several frequency bins. Order tracking — resampling the signal against a tachometer reference — keeps speed-related peaks sharp regardless of drift.
  • Baselines must be condition-tagged. A reading taken at 85 % MCR in calm water is not comparable with one taken at 50 % load in a seaway. Every stored measurement should carry speed, load, and sea-state metadata, and trends should compare like with like.

3.2 Propeller Blade-Rate Excitation and Hull Resonances

The propeller is one of the strongest periodic exciters on the vessel. Each blade passing through the non-uniform wake field behind the hull generates a pressure pulse, producing vibration at the mzunguko wa kupita kwa mapande (blade rate) and its harmonics:

BPF = Z · n / 60
Z — number of blades  |  n — shaft speed in r/min  |  BPF in Hz
Worked example

A four-blade propeller turning at 120 r/min: shaft frequency = 120/60 = 2 Hz; BPF = 4 × 2 = 8 Hz, with harmonics at 16 Hz, 24 Hz, and so on. These low frequencies fall exactly in the range of hull-girder and deckhouse natural frequencies.

Because the hull is a large, relatively flexible welded structure, blade-rate excitation can couple into hull-girder bending modes, local panel modes, and deckhouse modes. Symptoms range from crew discomfort in the accommodation to cracked pipe supports and fatigue in local structure. ISO 20283-2 governs the measurement of this structural vibration; ISO 20283-5 sets the framework for evaluating habitability. Remedies include propeller redesign or repair (blade damage increases wake-induced excitation), changing the number of blades, structural stiffening, and avoiding prolonged operation at resonant shaft speeds.

Diagnostic pitfall

Elevated blade-rate vibration measured on an aft-ship machine is not necessarily that machine's fault. Always check whether the frequency matches propeller blade rate before condemning a pump or motor mounted on a vibrating foundation.

3.3 Shaft Lines and Torsional Vibration

A ship's shaft line — main engine or gearbox, intermediate shafts, stern-tube bearing, propeller — is a long, heavy rotor system whose alignment depends on the hull around it. Hull deflection changes with cargo loading, ballast condition, and temperature, so a shaft line aligned perfectly in dry dock can run misaligned at sea. Symptoms include elevated 1× and 2× vibration at intermediate bearings, stern-tube bearing overheating, and uneven wear-down readings.

Long shaft lines driven by diesel engines are also prone to mvuto wa torati. Engine firing orders excite torsional natural frequencies of the crankshaft–shaft-line system; where a significant torsional critical falls inside the operating range, a barred speed range is defined in which continuous operation is prohibited. Torsional vibration is largely invisible to ordinary casing-mounted accelerometers — it requires dedicated instruments (torsiographs, strain gauges, encoder-based twist measurement). ISO 20283-4 covers the measurement and evaluation of propulsion-machinery vibration.

3.4 Classification Societies and Environmental Factors

Classification societies (DNV, Lloyd's Register, Bureau Veritas, ABS, and others) publish machinery and vibration guidance and offer condition-monitoring class notations under which an approved, auditable monitoring programme can substitute for parts of the fixed-interval survey regime. The specific requirements differ between societies and change over time, so the applicable rules should always be checked with the vessel's own class — but the common thread is that data quality, documented procedures, and analyst competence must be demonstrable.

Finally, the marine environment itself works against the measurement chain: salt-laden air corrodes connectors, engine-room temperatures cycle widely, and washdown areas demand appropriately protected sensors and cabling. Environmental ratings, stainless hardware, and disciplined cable maintenance are not luxuries — a corroded connector produces intermittent signals that imitate machine faults.

4. Measurement Methods and Sensors

Uchaguzi wa kihisi, ufungaji, usindikaji wa ishara, na hali halisi za kukusanya data nzuri ya mtetemo kwenye meli.

4.1 Measurement Principles

Kinematiki dhidi ya Dinamiki

Vihisi vingi vya mtetemo vinapima motion tu — msogeo, kasi, au mkasirisho — bila kuhesabu nguvu inayouzalisha. Hii ni kipimo cha kinematiki. Kipimo cha dinamiki kinachanganya data ya mwendo na nguvu, kawaida kupitia vipimo vya aceleromeita na vipimo vya nguvu vilivyounganishwa, na kinatumika hasa katika hali za majaribio zilizodhibitiwa kama vile uchambuzi wa hali au vipimo vya chaguo la uhamishaji.

Kabisa dhidi ya Jamaa

Mtetemo kamili is the motion of a point relative to an inertial reference frame. An accelerometer bolted to a bearing housing gives an absolute casing vibration measurement. Mtetemo wa jamaa (relative vibration) ni mwendo kati ya sehemu mbili — kwa kawaida mhimili na nyumba ya beari. Vichunguzi vya ukaribu (proximity probes) hutoa data hii na ni viwango vya kawaida kwenye mitambo mikubwa ya turbine ambapo taarifa ya mzingo wa mhimili inahitajika.

Type Best for Limitations
Kamili/Absolute (kiharakishaji, sensa ya kasi) Mitambo ya jumla, vifaa vya msaidizi, mtetemo wa kimuundo Haiwezi kufunua moja kwa moja mwendo wa mhimili ndani ya beari
Jamaa/Relative (kichunguzi cha ukaribu) Mitambo mikubwa ya turbine, beari za jarida, mihimili muhimu Usakinishaji wa gharama, unahitaji ufikiaji wa mhimili

Sensa za Mguso dhidi ya Zisizo za Mguso

Sensa za mguso (kiharakishaji, vichukua kasi, vipimo vya mkazo) hushikamana kimwili na uso unaotetemeka. Hutoa usikivu wa juu, upana mpana wa masafa, na taratibu zilizowekwa vizuri. Sensa zisizo za mguso (vichunguzi vya eddy-current, vibrometers za laser) hupima kwa umbali na ni lazima kwa nyuso zinazozunguka, maeneo ya joto kali, na maeneo ambayo uzito wa sensa ya mguso ungeweza kubadilisha kipimo.

4.2 Sensor Technologies

Kiharakishaji cha Piezoelectric

Sensa kuu ya kipimo cha mtetemo katika mazingira ya baharini. Kipengele cha piezoelectric (quartz au keramik) huzalisha chaji ya umeme inayolingana na nguvu inayotumiwa. Elektroniki za ndani (kiwango cha IEPE / ICP) hubadilisha hii kuwa ishara ya voltage ya impedance ya chini ambayo husafiri kwa uaminifu kwenye nyaya ndefu katika mazingira ya chumba cha injini chenye kelele nyingi.

Upana wa masafa wa kawaida (typical bandwidth)
1 Hz – 10 kHz
Sensitivity
10 – 100 mV/g
Joto la uendeshaji
−50 to +120 °C
Mass
5 – 50 g

Mifano ya masafa ya juu (hadi 50 kHz, usikivu wa chini) hutumika kwa ugunduzi wa mapema wa kasoro za beari. Mifano ya usikivu wa juu (100–1000 mV/g, upana wa masafa hadi ~5 kHz) huchaguliwa kwa mtetemo wa kiwango cha chini katika mitambo ya usahihi.

MEMS Accelerometers

Kiharakishaji cha micro-electromechanical (MEMS) ni kidogo zaidi, cha bei nafuu zaidi, na kinatumia nguvu kidogo kuliko vitengo vya piezoelectric. Kimekuwa kinafaa kwa ufuatiliaji wa kudumu wa mitambo isiyo muhimu sana na mitandao ya sensa za wireless. Upana wa masafa na mwelekeo wa nguvu umeboreshwa sana katika miaka ya hivi karibuni, ingawa sensa za piezoelectric bado zinaongoza katika utendaji wa masafa ya juu.

Sensa za Kasi (Transducers za Seismic)

A suspended magnetic mass moves relative to a coil, generating a voltage proportional to velocity. These sensors require no external power, have robust construction, and give a direct velocity output — convenient for ISO 20816 / legacy ISO 10816 evaluation without integration. Drawbacks include limited low-frequency response (typically above 10 Hz), temperature sensitivity, and relatively large size.

Vichunguzi vya Ukaribu (Sensa za Eddy-Current)

Oscillator ya masafa ya juu huunda shamba la sumakuumeme kwenye ncha ya kichunguzi. Mikondo ya eddy katika uso wa mhimili unaofanya umeme ulio karibu hubadilisha impedance, na elektroniki hubadilisha mabadiliko kuwa voltage ya DC inayolingana na umbali wa pengo. Vichunguzi viwili vilivyowekwa kwa 90° kwenye kila beari hutoa data ya nafasi ya X-Y ya mhimili kwa uchambuzi wa mzingo. Azimio liko katika mpangilio wa 0.1 μm, na kichunguzi kina majibu ya DC (kinaweza kufuatilia mabadiliko ya polepole ya tuli pamoja na mtetemo wa nguvu).

Kumbuka ya matumizi

Vipimo vya ukaribu ni vya kawaida katika mitambo mikubwa ya turbine kuu, visukumu vya gesi (turbochargers), na mifumo ya mhimili wa gia za kupunguza mzunguko. Havitumiwi karibu kamwe kwa mashine za msaidizi — gharama ya ufungaji ni kubwa mno ikilinganishwa na thamani ya vifaa.

4.3 Mounting and Calibration

Mbinu za Ufungaji

Njia ambayo kipimo kinafungwa kwenye mashine inabainisha masafa ya juu yanayoweza kutumika. Kila mbinu inaleta masafa ya mwanga wa ufungaji ambayo zaidi yake kipimo hakitegemewi.

Method Masafa ya Juu Yanayoweza Kutumika Notes
Threaded stud Up to sensor limit (often > 10 kHz) Usahihi bora zaidi; ya kudumu au ya nusu ya kudumu
Safu nyembamba ya gundi ~5–7 kHz Inafaa kwa kampeni za muda
Magnetic mount ~2–3 kHz Haraka; uso wa chuma wa sumaku tu
Kipimo cha mkono ~1 kHz Kwa uchunguzi wa awali tu; urudifu mbaya
Common error

Kutumia kiunzi cha sumaku kwa uchanganuzi wa bahasha ya mzigo wa pia (ambao unategemea masafa zaidi ya 2–3 kHz) kutazalisha matokeo ya kupotosha. Kiunzi cha bolti au cha gundi nyembamba kinahitajika.

Urekebishaji wa Ishara

Vipimo vya IEPE vinahitaji chanzo cha nguvu cha mkondo wa mara kwa mara (kawaida 2–4 mA kwa 18–28 V DC). Mfumo wa mbele wa upatikanaji wa data kwa kawaida hutoa hili. Vipimo vya hali ya chaji vinahitaji kisambaza-chaji maalum. Katika hali zote mbili njia ya ishara inapaswa kutumia nyaya zilizo na ngao za kuzuia kelele, na urefu wa nyaya unapaswa kuwa mfupi iwezekanavyo ili kupunguza mwingiliano wa umeme kutoka kwa nyaya za nguvu za chumba cha injini.

Urekebishaji

Vipimo na njia zinapaswa kukaguliwa dhidi ya kumbukumbu inayoweza kufuatiliwa angalau mara moja kwa mwaka — mara nyingi zaidi katika mazingira magumu ya baharini. Kisambazaji cha usahihishaji cha kubebeka kinachozalisha kuongezeka kwa kasi kinachojulikana kwa masafa yanayojulikana (kawaida 10 m/s² kwa 159.15 Hz) ni zana ya kawaida ya uwanjani. Ulinganisho wa nyuma kwa nyuma na kiharakishaji wa kumbukumbu hutoa uhakika zaidi na unaweza kufanywa kwenye meli.

5. Signal Analysis

Kutoka kwa mawimbi ghafi ya mtetemo hadi hitimisho za uchunguzi — msururu wa usindikaji wa ishara unaofanya utambulisho wa hitilafu uwezekane.

5.1 Signal Types

Kuelewa aina ya ishara inayozalishwa na mashine yako inabainisha mbinu gani za uchanganuzi zitachimba taarifa muhimu.

Ishara za Mara kwa Mara na Ishara za Mlingano wa Harmonic

Wimbi safi la mstari mzunguko mmoja ni kesi rahisi zaidi (nadra katika mazoezi). Mashine nyingi za kuzunguka huzalisha polyharmonic ishara — mzunguko wa msingi pamoja na mara zake nyingi za nambari kamili. Dizeli ya stroke-nne hutoa maelewano ya mpangilio wa kuwaka; treni ya gia hutoa mzunguko wa kuingiliana na maelewano yake.

Ishara Zilizorekebishwa

Urekebishaji wa Amplitude (AM) — the signal envelope varies periodically. A bearing inner-race defect that passes through the load zone once per revolution creates AM of the high-frequency impact response at the shaft speed. Urekebishaji wa Masafa (FM) — masafa ya papo hapo hubadilika. Mabadiliko ya kasi kutoka kwa compressor ya kurudia-rudia ni chanzo cha kawaida.

AM:   x(t) = A · [1 + m · cos(2π·fmod·t)] · cos(2π·fcarrier·t)
m — kina cha urekebishaji  |  fmod — masafa ya urekebishaji  |  fcarrier — masafa ya carrier

Ishara za Msukosuko na za Mpito

Short-duration, high-amplitude events that excite multiple resonances simultaneously. Rolling-element bearing defects, gear-tooth chips, and loose fasteners all produce impulsive vibration. Characteristic features: high crest factor, broad frequency content, rapid decay, and periodic repetition at the defect frequency.

Random Signals

Mtiririko wa msukosuko, cavitation, na uharibifu wa hali ya juu wa uso hutoa mtetemo ambao hauna kipengele cha mzunguko kinachobainika. Kwa takwimu, unajulikana na msongamano wake wa nguvu ya spectral (PSD) badala ya kilele cha masafa binafsi.

5.2 Time Domain and Frequency Domain

Uchambuzi wa Uwanja wa Wakati

Kuchunguza umbo la mawimbi ghafi linafunua taarifa ambazo uchambuzi wa spectral unaweza kuficha: wakati wa msukosuko, mifumo ya urekebishaji, kutokuwa sawa (kukatakata, kukatika), na uwepo wa matukio ya mpito. Vigezo vya takwimu vilivyohesabiwa kutoka kwa umbo la mawimbi — RMS, sababu ya kilele, kurtosis, skewness — hupima tabia ya ishara na mara nyingi ni viashiria vya kwanza vya kuzorota kwa bearing.

Parameter Kinachogundulika Typical Guide Value (healthy)
RMS Overall energy Machine-specific (see ISO zone limits)
Crest factor Maudhui ya msukosuko ≈ 3 – 4 (trend matters more than the absolute value)
Kurtosis Ukali wa kilele / kiwango cha msukosuko ≈ 3.0 (msingi wa Gaussian)
Skewness Kutokusawa kwa mawimbi ya mtetemo ≈ 0 (sawasawa)

Kurtosis ina thamani ya kipekee katika utambuzi wa hali ya vifaa vya kusaidia (bearings). Vifaa vya kusaidia vilivyo katika hali nzuri hutoa mtetemo unaofuata mgawanyo wa Gaussian (kurtosis ≈ 3). Kasoro zinazoendelea husababisha kurtosis kupanda zaidi ya 4 — wakati mwingine zaidi ya 10 — muda mrefu kabla RMS ya jumla haijapanda vya kutosha kutoa ishara ya tahadhari.

Uchambuzi wa Wigo wa Mzunguko (FFT)

Ubadilishaji wa Fourier wa Haraka (FFT) hubadilisha rekodi ya wakati kuwa wigo wa mzunguko, ukifunua ni mzunguko upi unabeba nishati nyingi zaidi. Hii ndiyo chombo kikuu cha utambuzi wa hitilafu kwa sababu aina tofauti za kasoro hutoa mtetemo katika mizunguko tofauti inayoweza kutabiriwa.

X(k) = Σn=0N−1 x(n) · e−j2πkn/N

Mambo Muhimu ya Usindikaji wa Ishara za Kidijitali (DSP)

Sampling rate lazima izidi mara mbili ya mzunguko wa juu zaidi unaohusika (kigezo cha Nyquist). Vichujio vya kuzuia aliasing hudhoofisha kila kitu zaidi ya mzunguko wa Nyquist kabla ya ubadilishaji wa kidijitali. Kanuni ya vitendo: sampuli kwa 2.56 × upana wa bendi ya uchambuzi (kuruhusu kupungua kwa kichujio).

Azimio la mzunguko = 1 / T, ambapo T ni urefu wa rekodi. Ili kutenganisha mizunguko miwili iliyo karibu unahitaji rekodi ndefu zaidi. Kwa matumizi ya baharini ambapo kasi hutofautiana kidogo, ufuatiliaji wa mpangilio (kusamplisha upya uliosawazishwa na mapigo ya takimita) hudumisha azimio thabiti katika uwanja wa mpangilio bila kujali mabadiliko ya kasi.

Windowing huzuia uvujaji wa wigo unaosababishwa na urefu wa mwisho wa rekodi. Hanning ni chaguo-msingi la matumizi ya jumla; flat-top hutoa usahihi bora wa ukubwa (muhimu wakati wa kulinganisha na mipaka kamili); mstatili unafaa tu kwa ishara za kweli za mpito.

Window Azimio la Mzunguko Usahihi wa Ukubwa Use Case
Rectangular Best Moderate Mpito / athari
Hanning Nzuri Nzuri Madhumuni ya jumla
Flat-top Poor Best Uthibitishaji, ukaguzi wa ukubwa

5.3 Advanced Techniques

Uchambuzi wa Bahasha (Udhibiti wa Ukubwa)

The method of choice for rolling-element bearing diagnostics. Steps: (1) band-pass filter around a structural resonance excited by bearing impacts (typically 2–8 kHz), (2) extract the amplitude envelope via Hilbert transform or rectification + low-pass filter, (3) compute the FFT of the envelope. Masafa ya kasoro za beari (BPFO, BPFI, BSF, FTF) then appear as distinct peaks in the envelope spectrum, clearly separated from shaft-speed harmonics and other sources.

Uchambuzi wa Cepstrum

Cepstrum ni IFFT ya inverse ya wigo wa logarithm ya ukubwa. Hugundua mifumo ya mara kwa mara within katika wigo wa mzunguko — hasa kile ambacho makundi ya upande kuzunguka mzunguko wa meno ya gia au familia za masafa kutokana na ulegevu hutoa. Mbinu hii si rahisi kuelewa kama FFT ya moja kwa moja lakini inafanya vizuri sana wakati familia nyingi za makundi ya upande zinaingiliana.

Cepstrum = IFFT( log |FFT(x(t))| )

Order Tracking

Kwa mashine zenye kasi inayobadilika (kawaida kwenye meli zenye viendeshaji vya mzunguko-mzunguko unaobadilika au wakati wa manuvering), FFT ya kawaida husambaza vilele vinavyohusiana na kasi. Ufuatiliaji wa mpangilio husamplisha upya ishara ya wakati ukitumia takimita au kumbukumbu ya kasi, ukibadilisha uchambuzi kutoka uwanja wa mzunguko hadi uwanja wa mpangilio. Kila mpangilio unalingana na kizidishio thabiti cha kasi ya shimoni.

Kitendakazi cha Makubaliano (Coherence)

Measures the linear relationship between two signals as a function of frequency. Coherence close to 1.0 at a given frequency means the vibration at the response point is predominantly caused by the excitation at the reference point. Useful for isolating transmission paths, verifying measurement quality, and assessing how much of a machine's vibration is transmitted to nearby structures — or, on a ship, how much of the "machine's" vibration actually arrives from the propeller through the hull.

6. Condition Monitoring Programmes

Kujenga na kuendesha programu ya ufuatiliaji wa mtetemo wa meli — kuanzia majaribio ya kukubalika hadi uchambuzi wa mwenendo.

6.1 Acceptance Testing

Vibration acceptance testing establishes that newly installed or overhauled equipment meets its design specification before entering service. For marine equipment this is typically done in stages: factory acceptance test (FAT) at the manufacturer — ISO 20283-3 covers pre-installation vibration measurement of shipboard equipment — harbour acceptance test (HAT) after installation aboard, and sea trial at full load.

Majaribio ya Kukubalika Yanagundua Nini

  • Residual unbalance exceeding the specified ISO 21940-11 (formerly ISO 1940-1) balance quality grade
  • Mguu laini — mguu mmoja au zaidi wa kufunga hauko katika mawasiliano sahihi na msingi
  • Kutofautiana kwa kifungo kilicholetwa wakati wa ufungaji
  • Msongo wa mabomba unaopitishwa kwa flange za pampu au kompresa
  • Foundation resonances that coincide with operating speed or propeller blade rate

Measurements during acceptance testing become the baseline for future condition monitoring. They should be taken at several load levels (typically 25 %, 50 %, 75 %, 100 %) and documented with operating parameters (speed, load, temperatures, sea state).

Mfano wa kufanya kazi

Pampu mpya ya shehena ilionyesha 4.2 mm/s RMS mara baada ya uwekaji. Baada ya masaa 100 ya huduma, usomaji ulitulia hadi 2.1 mm/s wakati nyuso za beari zilipobadilishana na nafasi zilipotulia. Bila majaribio ya kukubalika, usomaji wa awali wa juu ungeweza kusababisha uchunguzi usio wa lazima.

6.2 Monitoring Systems

Mifumo ya Mkononi (Inayotumia Njia Iliyopangwa)

Fundi anapita njia iliyopangwa mapema katika chumba cha injini, akikusanya data katika kila sehemu ya kipimo iliyowekwa alama kwa kutumia mkusanyaji data wa mkononi. Programu kwenye kompyuta ya pwani au ofisini huhifadhi, kufuatilia mwenendo, na kuchanganua data. Hii ni njia ya gharama nafuu zaidi kwa mashine za msaidizi ambapo ufuatiliaji wa kuendelea hauhusu.

Mifumo ya Kudumu (Ya Mtandaoni)

Vihisi vimewekwa kudumu kwenye vifaa muhimu na kuunganishwa na mfumo wa kati wa ukusanyaji data. Vipimo huchukuliwa kiotomatiki kwa vipindi vilivyopangwa au kwa kuendelea. Tahadhari huwashwa wakati viwango vinavyowekwa vinazidishwa. Injini kuu, jenereta, motors za kusukuma, na gia za kupunguza ni wagombea wa kawaida.

Mbinu ya Mseto

Meli nyingi za kisasa zinachanganya zote mbili. Ufuatiliaji wa kuendelea unashughulikia mashine 10–15 muhimu zaidi. Vipimo vya mkononi vinavyotumia njia iliyopangwa vinashughulikia vipengele 50–200 vya msaidizi kwa mzunguko wa kila wiki hadi kila robo ya mwaka. Programu iliyounganishwa inachanganya seti zote mbili za data katika hifadhidata moja.

A Practical Starting Point

The table below is a typical starting matrix for a merchant vessel. It is deliberately generic — criticality analysis, class requirements, and maker's instructions take precedence for any specific ship.

Equipment What to Measure Where Typical Interval
Main propulsion engine Broadband velocity, selective spectra; torsional monitoring per class requirements Main bearings / frame, thrust bearing, turbocharger casings Continuous or weekly route
Shaft line Broadband velocity + 1×/2× components; bearing temperatures Intermediate shaft bearings, stern-tube area Continuous or monthly
Diesel generators Broadband velocity (ISO 8528-9 framework), spectra on alternator bearings Engine frame, alternator drive-end and non-drive-end bearings Weekly – monthly
Sea-water / fresh-water pumps Velocity spectra + bearing envelope Pump and motor bearing housings, 2–3 directions Monthly
Engine-room fans, blowers Broadband velocity + 1× (unbalance builds up from deposits) Fan and motor bearings Monthly – quarterly
Compressors, purifiers, separators Velocity spectra + high-frequency bearing parameters Bearing housings per maker's drawing Monthly

Hifadhidata na Muundo wa Kihierarkia

The monitoring database organises equipment in a tree: vessel → department (engine, deck, electrical) → system (propulsion, auxiliary cooling, fire-fighting) → machine → component → measurement point. Each point has defined sensor type, direction, units, alarm levels, and analysis settings. Good hierarchy design makes fleet-wide benchmarking and reporting practical.

6.3 Alarm Levels and Trend Analysis

Kuweka Viwango vya Tahadhari

Kuna mbinu tatu za kawaida, nazo zinaweza kuchanganywa.

  • Standards-based — use ISO 20816 (formerly ISO 10816) or API zone boundaries directly. Simple but one-size-fits-all.
  • Statistical — weka tahadhari ya kwanza kwenye wastani wa msingi + vipimo vya kawaida 2–3 vya kutawanyika, na kizingiti cha hatari kwenye wastani + 4–6 σ. Inafaa kwa kila mashine lakini inahitaji data ya kutosha ya msingi.
  • Experience-based — inatokana na ujuzi wa mtaalamu kuhusu aina maalum ya mashine. Mara nyingi ndiyo yenye ufanisi zaidi kwa vifaa visivyo vya kawaida au vya zamani sana ambavyo havifunikwi vizuri na viwango vya jumla.
Epuka uchovu wa tahadhari nyingi

Kwenye meli yenye mamia ya hatua za upimaji, tahadhari ambazo hazijawekwa vizuri huzalisha makosa mengi ya kugonga kengele kwa kila safari. Wafanyakazi wanajifunza kuzipuuza. Wekeza muda katika ukusanyaji sahihi wa data ya msingi na urekebishaji wa viwango vya tahadhari — hii ndiyo shughuli yenye faida kubwa zaidi katika programu mpya.

Trend Analysis

Kupanga kigezo kwenye grafu ya muda unafichua kasoro zinazoendelea kabla ya kufikia viwango vya tahadhari. Uchambuzi wa mwelekeo unafanya kazi kwa RMS ya jumla, vipengele vya mzunguko binafsi, vigezo vya takwimu (sababu ya kilele, kurtosis), na vipimo vilivyotokana na mkoba wa ishara. Mteremko wa mstari wa mwelekeo — na hasa mabadiliko yoyote ya ghafla ya mteremko — ndio kiendeshi kikuu cha uamuzi.

Mbinu zinaanzia ukaguzi rahisi wa macho wa grafu za mfululizo wa muda hadi udhibiti wa mchakato wa takwimu (CUSUM, EWMA) na mifano ya maisha iliyobaki inayotegemea urejeshaji. Kwa mashine muhimu, kuchanganya vigezo vingi vya mwelekeo katika "faharasa moja ya hali ya afya" hutoa picha imara zaidi kuliko kigezo kimoja peke yake.

Hadithi ya mafanikio ya uchambuzi wa mwelekeo

A main-engine cooling pump showed a steady month-on-month increase in outer-race defect-frequency amplitude over six months. Bearing replacement was scheduled during a routine port call, preventing an unplanned failure that would have required diverting the vessel.

7. Fault Detection and Identification

Kutafsiri vilele vya wigo, umbo la mawimbi, na vigezo vya takwimu kuwa utambuzi maalum wa kasoro.

7.1 Rolling-Element Bearing Diagnostics

Rolling-element bearings are the most commonly monitored component in marine vibration programmes. Each defect location produces a distinct characteristic frequency determined by bearing geometry and shaft speed.

Masafa ya Kasoro

BPFO = (N/2) · fshaft · (1 − d/D · cos φ)
BPFI = (N/2) · fshaft · (1 + d/D · cos φ)
BSF  = (D/2d) · fshaft · [1 − (d/D · cos φ)²]
FTF  = (1/2) · fshaft · (1 − d/D · cos φ)

N — idadi ya vipande vya kuviringisha  |  d — kipenyo cha kipande
D — kipenyo cha mzunguko  |  φ — pembe ya mguso  |  fshaft — mzunguko wa shimoni

The outer-race frequency is always the lower of the two race frequencies (BPFO ≈ 0.4 · N · fshaft as a rough rule) and the inner-race frequency the higher (BPFI ≈ 0.6 · N · fshaft); together they sum to N · fshaft — a convenient sanity check.

Worked example

Deep-groove ball bearing with 9 balls, d = 12.7 mm, D = 58.5 mm, φ ≈ 0°, running at 1 750 r/min (fshaft = 29.17 Hz):
BPFO ≈ 4.5 × 29.17 × (1 − 0.217) ≈ 103 Hz · BPFI ≈ 4.5 × 29.17 × (1 + 0.217) ≈ 160 Hz · BSF ≈ 64 Hz · FTF ≈ 11.4 Hz
Check: BPFO + BPFI = 103 + 160 ≈ 262.5 Hz = 9 × 29.17 Hz ✓

Hatua za Maendeleo ya Hitilafu

  1. Onset — subtle increase in the high-frequency noise floor (ultrasonic band, > 20 kHz). No discrete peaks yet. Detectable only with specialised high-frequency techniques (acoustic emission, spike energy).
  2. Masafa ya kasoro tofauti yanaonekana — masafa ya sifa za beari (BPFO, BPFI, n.k.) yanaweza kuonekana wazi katika wigo wa bahasha au wigo wa kuongeza kasi wa bendi ya masafa ya juu.
  3. Maelewano na mabanda ya kando yanakua — maelewano ya masafa ya kasoro yanakua; mabanda ya kando ya moduli kwa kasi ya shimoni yanaonekana karibu na masafa ya beari.
  4. Upanukaji na ongezeko — kiwango cha kelele kinaongezeka katika bendi ya masafa ya beari; RMS ya jumla ya kuongeza kasi na kasi zinaanza kupanda; sababu ya kilele inaweza kuanza kupungua kadri maudhui ya nasibu yanavyoongezeka.
  5. Uharibifu wa hali ya juu — mtetemo wa nasibu wa bendi pana unashinda; viwango vya mwendo vinaongezeka; joto linaongezeka; kelele inayosikika. Kushindwa kwa mashine kunakaribia.

Uchambuzi wa Bahasha katika Vitendo

Chuja kwa band-pass ishara ghafi ya kuongeza kasi katika kiwango cha 2–8 kHz (au karibu na resonansi ya juu zaidi iliyochochewa na beari — itambue kutoka kwa jaribio la mgongano au kutoka kwa wigo wenyewe). Hesabu bahasha ya mabadiliko ya Hilbert. Fanya FFT ya bahasha. Kama utaona vilele katika BPFO, BPFI, BSF, au FTF (na maelewano yao), una utambuzi wa kasoro ya beari uliothibitishwa.

7.2 Gear Faults and Shaft Problems

Utambuzi wa Gia

Mzunguko wa msingi wa meno ya gia (GMF) unalingana na idadi ya meno ukizidishwa na mzunguko wa mzunguko wa shimoni. Gia iliyo katika hali nzuri hutoa kilele safi cha mzunguko wa meno chenye mikonde midogo ya pembeni. Matatizo yanayoibuka yanaonyeshwa kwa ongezeko la ukubwa wa mzunguko wa meno, mikonde ya pembeni inayokua iliyopangwa kwa mzunguko wa shimoni lenye hitilafu, na hatimaye uzalishaji wa sauti nyingi za juu za GMF.

Gear example

23-tooth pinion at 1 200 r/min (20 Hz) meshing with a 67-tooth wheel (6.87 Hz). GMF = 23 × 20 = 460 Hz. Sidebands at 460 ± 20 Hz indicate a developing pinion defect; sidebands at 460 ± 6.87 Hz point to the wheel.

Matatizo ya Shimoni na Kiungo

Fault Mzunguko Mkuu Key Indicators
Mass unbalance 1× shaft speed Mtetemo wa radial; awamu imara; ukubwa ∝ kasi²
Utofauti wa parasilel 2× (+ 1×, 3×) Mtetemo mkubwa wa radial; mabadiliko ya awamu ya 180° kwenye kiungo
Kukosa mhimili wa angular 1× and 2× Mtetemo mkubwa wa axial kwenye kiungo
Bent shaft 1× and 2× High 1× axial; 180° phase between bearings
Uleggevu wa mitambo Sauti nyingi za 1× Sauti ndogo (0.5×); awamu isiyo imara; yenye mwelekeo
Rotor rub Sauti za sehemu 0.5×, 1.5×, 2.5× etc.; truncated waveform

Matatizo ya Kizio / Yanayohusiana na Mtiririko

Blade-passing frequency (BPF) = number of blades × shaft frequency. Elevated BPF and its harmonics indicate impeller damage, diffuser–impeller gap issues, or inlet flow distortion. Cavitation produces broadband high-frequency noise — a "crackling" sound signature above 2 kHz with high kurtosis. Recirculation at low flow creates low-frequency random instability. On ships, remember that the propeller itself produces blade-rate vibration that propagates through the structure (see Section 3.2).

7.3 Severity Assessment and Prognosis

Kugundua hitilafu ni nusu ya kazi tu. Timu ya matengenezo inahitaji kujua how fast hitilafu inaendelea na how long mashine inaweza kuendelea kufanya kazi kwa usalama.

Vipimo vya Ukali

  • Ukubwa wa kilele cha mzunguko wa hitilafu ikilinganishwa na thamani yake ya msingi
  • Kasi ya mabadiliko ya ukubwa huo (mteremko wa mwenendo)
  • Idadi na nguvu za sauti nyingi na mikonde ya pembeni
  • Maendeleo ya sababu ya kilele (crest factor) na kurtosis
  • Kasi ya jumla au msongamano wa RMS kulingana na mipaka ya kanda za ISO

Mbinu za Utabiri

Simple trending with linear or exponential extrapolation gives a rough remaining-life estimate. More sophisticated approaches include physics-based degradation models (e.g., spalling propagation under Hertzian stress) and data-driven models trained on run-to-failure datasets. In either case, predictions should carry explicit confidence intervals — a point estimate of "42 days remaining" is much less useful than "30–60 days at 90 % confidence".

Severity Level Hatua Inayopendekezwa Muda wa Kawaida
Nzuri Endelea na ufuatiliaji wa kawaida Kipimo kilichopangwa kinachofuata
Early fault Ongeza mara kwa mara ya ufuatiliaji Kila wiki → kila wiki mbili
Developing Panga uingiliaji wa matengenezo Mwisho wa safari wa bandari unaofuata au muda wa kupumzika uliopangwa
Advanced Panga ukarabati haraka iwezekanavyo Ndani ya wiki 1–2
Critical Punguza mzigo au zima; ukarabati wa dharura Immediate

8. Alignment and Balancing

Hatua mbili za kurekebisha ambazo zinaondoa sehemu kubwa zaidi ya matatizo ya mtetemo katika vifaa vya mzunguko vya baharini.

8.1 Shaft Alignment

Kukosekana kwa usawaziko kati ya mashaft yaliyounganishwa ni moja ya sababu kuu tatu za mtetemo katika mashine za baharini (pamoja na kutokuwa na usawa na uchakavu wa beari). Inasababisha nguvu nyingi kupita kiasi kwenye beari, muhuri, na viunganishi, na kutoa alama ya tabia ya mtetemo inayoongozwa na kasi ya shaft mara 2×.

Aina za Kutokuwa na Usawaziko

Type Mtetemo Unaotawala Direction Alama ya Awamu
Sambamba (kupotoka) 2× RPM Radial Mabadiliko ya 180° kupitia kiungo katika mwelekeo wa radial
Angular 1× and 2× RPM Axial Mabadiliko ya 180° kupitia kiungo katika mwelekeo wa axial
Combined 1× + 2× + higher All Ngumu; inahitaji vipimo vya pointi nyingi

Usawazishaji wa Tuli dhidi ya wa Nguvu

Static alignment is measured when the machine is cold and at rest. Dynamic (operating) alignment can differ substantially because of thermal growth, foundation deflection under load, and piping forces that develop with temperature and pressure. A diesel generator, for instance, may grow 1–2 mm vertically at the coupling centre when the engine reaches operating temperature. On ships there is an extra layer: hull deflection with cargo and ballast condition changes shaft-line alignment between the laden and ballast voyage.

Thermal growth:   ΔL = L · α · ΔT
Example: 2 m steel shaft height, α = 12 × 10⁻⁶ /°C, ΔT = 50 °C → ΔL = 1.2 mm upward

Mifumo ya usawazishaji wa leza huhesabu miseto ya baridi ili kulipa fidia kwa upanuzi wa joto unaotarajiwa, ili usawazishaji uwe sahihi kwa joto la uendeshaji badala ya joto la kawaida.

Soft Foot

Ikiwa mguu mmoja au zaidi wa mashine haugusi msingi ipasavyo, ukibana bolti ya kushikilia kunapotosha fremu, kubadilisha usawazishaji wa beari, na kubadilisha sifa za mtetemo kwa njia inayotegemea mzigo. Kutambua mguu laini ni hatua ya kwanza kabla ya utaratibu wowote wa usawazishaji: legeza kila bolti kwa zamu na kupima mwendo kwa kipimo cha dial au mfumo wa leza. Rekebisha kwa vijalizo vya usahihi.

8.2 Balancing Theory

Mass unbalance creates a centrifugal force that rotates with the shaft, producing vibration at 1× RPM. The force is proportional to ω², so a rotor that vibrates moderately at low speed may be destructive at high speed.

Unbalance force:   F = m · r · ω²
m — misa ya usawa mbaya  |  r — radi  |  ω — kasi ya angular

Aina za Usawa Mbaya

  • Static — doa moja zito; rota ingekaa na upande mzito chini kwenye makali ya kisu. Uso mmoja wa urekebishaji unatosha.
  • Couple — misa mbili sawa 180° kutofautiana katika nyuso tofauti za axial. Hakuna usawa mbaya wa tuli, lakini rota inatikisika wakati wa mzunguko. Nyuso mbili za urekebishaji zinahitajika.
  • Dynamic — hali ya jumla: mchanganyiko wa tuli na jozi. Daima inahitaji urekebishaji wa nyuso mbili kwa uondoaji kamili.

Balance Quality — ISO 21940-11 (formerly ISO 1940-1)

ISO 21940-11 defines permissible residual unbalance as a function of rotor mass and service speed, expressed as a balance quality grade G. The grade value equals the product eper · ω in mm/s, where eper is the permissible specific unbalance (displacement of the centre of mass from the shaft axis) and ω the angular velocity at service speed. In practical units:

eper [g·mm/kg] = 9549 · G / n     Uper [g·mm] = eper · mrota [kg]
G — balance quality grade [mm/s]  |  n — service speed [r/min]
Grade eper·ω (mm/s) Typical Application (ISO 21940-11, Table 1)
G 0.40.4Gyroscopes, spindles and drives of high-precision systems
G 1.01.0Audio/video drives, grinding-machine drives
G 2.52.5Compressors, gas and steam turbines, electric motors above 950 r/min
G 6.36.3General machinery: pumps, fans, gears, electric motors, turbochargers, water turbines
G 1616Drive shafts (cardan and propeller shafts), agricultural machinery, crushers
G 250 – G 4000250 – 4000Crankshaft drives of large, slow marine diesel engines (grade depends on mounting and inherent balance)
Worked example

Sea-water pump rotor, mass 120 kg, service speed 2 950 r/min, specified grade G 6.3:
eper = 9549 × 6.3 / 2950 ≈ 20.4 g·mm/kg → Uper = 20.4 × 120 ≈ 2 450 g·mm.
At a correction radius of 200 mm this corresponds to a residual mass of 2450 / 200 ≈ 12.2 g — the total allowed, typically split between two correction planes.

8.3 Field Balancing

Kusawazisha uwanjani hurekebisha usawa mbaya katika beari na vishikilio vya mashine yenyewe, chini ya hali halisi za uendeshaji. Hii karibu daima inapendelewa zaidi ya kuondoa rota kwa kusawazisha kwenye karakana wakati usawa mbaya unatokana na uchafu wakati wa matumizi, mmomonyoko, au upotovu wa joto badala ya kasoro ya utengenezaji.

Utaratibu wa Uso Mmoja (Mbinu ya Mgawo wa Ushawishi)

  1. Pima mtetemo wa awali wa ukubwa na awamu kwa 1× RPM (mkimbia wa kumbukumbu).
  2. Weka uzito wa majaribio unaojulikana katika nafasi inayojulikana ya pembe kwenye rotari.
  3. Endesha mashine na upime mtetemo tena (mkimbia wa majaribio).
  4. Hesabu mgawo wa ushawishi: kiasi gani cha mabadiliko ya mtetemo ambacho kitengo kimoja cha uzito katika radius hiyo kinazalisha.
  5. Hesabu uzito wa usahihi na pembe ambayo itashusha mtetemo hadi sifuri (hisabati ya vektori).
  6. Ondoa uzito wa majaribio, weka uzito wa usahihi, kisha thibitisha kwa mkimbia wa mwisho.

Usawazishaji wa nyuso mbili unafuata mantiki hiyo hiyo lakini unasuluhisha mfumo wa 2×2 wa vigawo vya ushawishi, ukiwezesha usahihi wa wakati mmoja wa vipengele vya tuli na vya mzunguko.

Balanset-1A — Usawazishaji Portable na Uchambuzi wa Mtetemo

Vibromera's Balanset-1A is a portable instrument for single-plane and two-plane field balancing with built-in vibration measurement and FFT spectrum analysis: vibration velocity 0.2–80 mm/s RMS, frequency range 5–1000 Hz, laser tachometer 250–90 000 r/min, powered over USB from a laptop. It is used on fans, pumps, centrifuges, separators, shafts, and other rotating equipment in marine and industrial environments.

Learn more

Changamoto Maalum za Baharini

  • Vessel motion — mtetemo wa usuli kutoka kwa mawimbi na injini unaweza kuficha ishara ya 1×. Suluhisho: wastani wa vipimo kwa mizunguko mingi, kupanga vipimo wakati wa hali ya utulivu au bandarini.
  • Limited access — nyuso za usahihi zinaweza kuwa ndani ya vizuizi. Upangaji wa awali na njia maalum za kuunganisha uzito mara nyingi zinahitajika.
  • Athari za mafuta/joto — machines balanced cold may develop additional unbalance at operating temperature due to differential expansion. Ideally, verify balance at normal operating temperature.

8.4 Other Vibration Reduction Approaches

Wakati usawazishaji na uoanishaji havifikhishi mtetemo kwa viwango vinavyokubalika, mbinu kadhaa nyingine zinapatikana.

Urekebishaji wa Chanzo

Buni upya au rekebisha sehemu ili kupunguza nguvu ya msisimko — kwa mfano, kuboresha pengo kati ya impella na kifaa cha kueneza katika pampu, kuboresha uvumilivu wa utengenezaji, au kuchagua kasi ya uendeshaji mbali zaidi na kasi muhimu.

Mabadiliko ya Ugumu na Unyamazishaji

Kuimarisha msingi kunabadilisha masafa yake ya asili mbali na masafa ya msisimko. Kuongeza unyamazishaji (matibabu ya safu iliyoshikiliwa, vifaa vya kuendesha viscoelastic) hupunguza ukuzaji wakati wa resonansi. Mbinu zote mbili zinaweza kutumika baada ya ufungaji, ingawa uimarishaji wa msingi katika meli umezuiwa na vikomo vya uzito wa kimuundo.

Kutenganisha Mitetemo

Resilient mounts (rubber, spring, air) decouple the machine from the hull structure. Isolation becomes effective when the excitation frequency exceeds roughly √2 × the mount natural frequency. Marine isolators must also resist loads from vessel motion and tolerate corrosive atmospheres.

Vifaa vya Kunyamazisha na Vifaa vya Kudhibiti Msisimko

A tuned mass damper (TMD) — a small secondary mass-spring system tuned to the problem frequency — absorbs energy from the primary structure at that specific frequency. Effective for narrow-band problems such as a deck resonance excited by a generator or by propeller blade rate. The drawback is that each TMD addresses only one frequency.

9. Emerging Technologies

Uchunguzi wa mwelekeo wa uchunguzi wa mtetemo wa meli — vihisi vya wireless, kompyuta ya ukingoni (edge computing), ujifunzaji wa mashine, na njia inayoelekea matengenezo ya kujitegemea.

9.1 AI and Machine Learning

Ujifunzaji wa mashine unabadilisha uchunguzi wa mtetemo kutoka kwa mifumo ya sheria iliyoainishwa kwa mkono kwenda kwa utambuzi wa mifumo unaotegemea data. Matumizi ya haraka zaidi ni uainishaji wa hitilafu otomatiki na utabiri wa muda uliobaki wa matumizi (RUL).

Classification

Mitandao ya neva ya konvolusheni (CNNs) iliyofunzwa kwenye seti za data za mtetemo zilizowekwa lebo inaweza kuainisha hitilafu za beari, gia, kutokuwa na usawa, na kutokuwa sawa kwa usahihi unaofanana na wataalamu wenye uzoefu — mradi data ya mafunzo inashughulikia hali halisi za uendeshaji. Ujifunzaji wa kuhamisha na uimarishaji wa kikoa hushughulikia tatizo la kawaida la ukosefu wa data ya meli iliyowekwa lebo kwa kuanza na mifano iliyofunzwa kwenye seti za data za viwandani na kuimarisha kwa data ya meli.

Ugunduzi wa Upotevu wa Kawaida

Autoencoders na autoencoders za kiubadilishaji hujifunza uwakilishi uliosindikwa wa mtetemo wa kawaida. Wakati kipimo kipya kinaanguka nje ya usambazaji uliojifunzwa, mfumo huitia alama kama kipya kisichokuwa cha kawaida — bila kuhitaji mifano ya awali ya kila aina ya hitilafu inayowezekana. Hii ina thamani kubwa zaidi kwa hali za kushindwa ambazo ni nadra.

Digital Twins

A digital twin is a physics-based or hybrid model of a machine that runs in parallel with the real one, continuously updated with sensor data. Deviations between model predictions and real measurements indicate changing internal conditions. Digital twins enable scenario simulation ("what if we increase speed by 5 %?") and more reliable prognosis because they incorporate physics rather than relying solely on statistical extrapolation.

9.2 Wireless Sensors and Edge Computing

Vihisi vya mtetemo vya wireless vimekomaa hadi sasa kiasi kwamba maisha ya betri yanazidi miaka mitano, utegemelwaji wa mawasiliano unafaa kwa ufuatiliaji usio muhimu kwa usalama, na usindikaji wa ndani ya bodi huruhusu kihisi kuhesabu vigezo vya takwimu kwa ndani, kupeleka muhtasari na tahadhari tu badala ya mawimbi ghafi. Hii inapunguza sana gharama ya ufungaji — hakuna nyaya, hakuna mirija, hakuna masanduku ya muunganiko — na inafanya iwe ya kiuchumi kufuatilia mamia ya mashine za msaidizi ambazo hazikufuatiliwa hapo awali.

Kompyuta ya ukingoni huweka nguvu ya usindikaji karibu na kihisi au katika kihisi, kuruhusu uzalishaji wa tahadhari wa wakati halisi, FFT ya ndani, na hata utambuzi wa mtandao wa neva bila kutegemea muunganisho wa wingu kutoka pwani. Hii ni muhimu kwa meli zinazotumia siku au wiki na kipimo kidogo cha bandwidth ya satelaiti.

9.3 Autonomous Diagnostics and Integration

Mwelekeo wa muda mrefu unaelekea mifumo inayogundua, kuchunguza, na kutenda kwa kuingilia kati kidogo kwa binadamu:

  • Vihisi vya kujikalibisha vinavyothibitisha hali yao yenyewe na kulipa fidia kwa mwelekeo.
  • Uchunguzi wa hitilafu otomatiki uliounganishwa na mfumo wa matengenezo uliopangwa wa meli — ugunduzi wa kasoro ya beari otomatiki hutengeneza agizo la kazi, hukagua hifadhi ya vipande vya spare, na kupendekeza dirisha la matengenezo.
  • Uchambuzi wa kiwango cha meli zote — kulinganisha aina sawa ya vifaa katika meli nzima kunabainisha matatizo ya kimfumo (kundi baya la beari, mwangwi unaohusiana na muundo) ambayo ufuatiliaji wa meli moja ungeweza kukosa.
  • Muunganiko wa vigezo vingi — kuchanganya mtetemo, uchambuzi wa mafuta, thermografia, na data ya utendaji katika faharisi moja ya hali ya afya ya mashine hutoa tathmini ya hali inayotegemewa zaidi kuliko mbinu yoyote moja peke yake.
Kumbuka ya udhibiti

Classification societies (DNV, Lloyd's Register, Bureau Veritas, ABS) maintain rules and class notations that recognise condition-based maintenance as an alternative to fixed-interval surveys. Robust, auditable vibration monitoring programmes are becoming a regulatory enabler, not just a cost-saving tool.

Kujiandaa kwa Utekelezaji

Teknolojia peke yake haitoshi. Utekelezaji mzuri unahitaji ukuzaji wa nguvu kazi (mafunzo ya kusoma data kwa wahandisi waliozoea zana za mikono, si algoriti), mipango ya usalama wa mtandao (mifumo ya ufuatiliaji iliyounganishwa ni uso wa mashambulizi), na mbinu ya hatua kwa hatua — jaribio kwenye meli chache, thibitisha thamani, kisha panua.

10. Maswali Yanayoulizwa Mara kwa Mara

Short answers to the questions marine engineers ask most often about vibration diagnostics.

Which ISO standards apply to vibration of marine machinery?

The general framework is the ISO 20816 series (formerly ISO 10816) for vibration measured on non-rotating parts. Ship-specific measurement is covered by the ISO 20283 series: Part 2 for structural vibration, Part 3 for pre-installation testing of shipboard equipment, Part 4 for propulsion machinery, and Part 5 for habitability. Reciprocating machines above 100 kW — including marine diesel engines — fall under ISO 10816-6, and generating sets under ISO 8528-9. Rotor balance quality is specified in ISO 21940-11 (formerly ISO 1940-1).

What vibration level is acceptable for a shipboard pump or motor?

It depends on the machine's power rating and mounting. As one example, for a medium machine (15–300 kW) on rigid supports under ISO 10816-3 / ISO 20816-3, up to 1.4 mm/s RMS is zone A (good), 1.4–2.8 mm/s is zone B (acceptable for unrestricted long-term operation), 2.8–4.5 mm/s is zone C (plan remedial work), and above 4.5 mm/s is zone D (risk of damage). Larger machines and flexibly mounted machines have higher limits — always check the group and support class that actually apply.

How is the blade-passing frequency of a propeller calculated?

Multiply the number of blades by the shaft speed in revolutions per second: BPF = Z × n / 60, with n in r/min. A four-blade propeller at 120 r/min gives 4 × 2 = 8 Hz, with harmonics at 16 and 24 Hz. These low frequencies can excite hull and deckhouse resonances, so elevated blade-rate vibration on aft-ship machinery does not necessarily indicate a fault in that machine.

Can a rotor be balanced on board without dismantling it?

Yes — this is field balancing. Using a portable instrument with vibration sensors and a tachometer, the influence-coefficient method needs only a reference run and one trial run per correction plane to compute the correction mass and angle. It corrects the rotor in its own bearings under real operating conditions, which is usually preferable to shop balancing when unbalance is caused by in-service fouling, erosion, or blade damage.

How often should vibration measurements be taken on ship machinery?

Critical propulsion and power-generation machinery is typically monitored continuously or on a weekly route; auxiliary pumps, fans, compressors, and separators monthly to quarterly. The interval should shorten as soon as a parameter starts trending upward — a machine in "early fault" state deserves weekly or even continuous attention until the fault is understood.

Kuna tofauti gani kati ya ISO 10816 na ISO 20816?

ISO 20816 is the successor series that progressively replaces both ISO 10816 (vibration on non-rotating parts) and ISO 7919 (shaft vibration), combining them in one framework. ISO 20816-1:2016 replaced ISO 10816-1 and ISO 7919-1; ISO 20816-3:2022 replaced ISO 10816-3. The four-zone evaluation concept (A–D) is unchanged; references in older documentation to ISO 10816 zone values generally remain usable, but new specifications should cite ISO 20816.

Do sea state and vessel motion affect vibration readings?

Yes. Wave-induced hull vibration, slamming, and load changes raise background levels, particularly at low frequencies. Good practice is to log sea state, speed, and load with every measurement, take routine readings under repeatable conditions (calm water, steady load) where possible, and flag or exclude data collected in heavy weather from trend analysis.

Which sensor should be used for engine-room measurements?

An IEPE piezoelectric accelerometer is the default choice: robust, broadband (typically 1 Hz–10 kHz), and tolerant of long cable runs in electrically noisy environments. Use stud or adhesive mounting for bearing diagnostics above 2–3 kHz; magnetic mounts are acceptable for broadband velocity readings. Proximity probes are reserved for journal-bearing turbomachinery where shaft-relative motion matters.

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