ISO 20816-3: Vibration Limits for Industrial Machines
Interactive calculator and comprehensive technical guide for vibration zone assessment of industrial machinery per ISO 20816-3:2022. Covers housing vibration, shaft vibration, measurement methodology, and field balancing with Balanset-1A.
⚙ Table A.1 — Group 1 Machines (Large: >300 kW or H>315 mm)
| Zone | Rigid — Vel. (mm/s) | Rigid — Disp. (μm) | Flexible — Vel. (mm/s) | Flexible — Disp. (μm) |
|---|---|---|---|---|
| A — Good | < 2.3 | < 29 | < 3.5 | < 45 |
| B — Acceptable | 2.3 – 4.5 | 29 – 57 | 3.5 – 7.1 | 45 – 90 |
| C — Limited | 4.5 – 7.1 | 57 – 90 | 7.1 – 11.0 | 90 – 140 |
| D — Dangerous | > 7.1 | > 90 | > 11.0 | > 140 |
⚙ Table A.2 — Group 2 Machines (Medium: 15–300 kW or H=160–315 mm)
| Zone | Rigid — Vel. (mm/s) | Rigid — Disp. (μm) | Flexible — Vel. (mm/s) | Flexible — Disp. (μm) |
|---|---|---|---|---|
| A — Good | < 1.4 | < 22 | < 2.3 | < 37 |
| B — Acceptable | 1.4 – 2.8 | 22 – 45 | 2.3 – 4.5 | 37 – 71 |
| C — Limited | 2.8 – 4.5 | 45 – 71 | 4.5 – 7.1 | 71 – 113 |
| D — Dangerous | > 4.5 | > 71 | > 7.1 | > 113 |
⚙ Annex B — Shaft Vibration Limits (Displacement)
| Zone Boundary | Formula | @ 1500 rpm | @ 3000 rpm | @ 6000 rpm |
|---|---|---|---|---|
| A/B | 4800 / √n | 124 | 88 | 62 |
| B/C | 9000 / √n | 232 | 164 | 116 |
| C/D | 13200 / √n | 341 | 241 | 170 |
Vibration Zone Assessment Calculator
Enter machine parameters and measured vibration to determine condition zone per ISO 20816-3
Zone Boundaries Applied
| Boundary | Velocity (mm/s) | Displacement (μm) |
|---|---|---|
| A/B | — | — |
| B/C | — | — |
| C/D | — | — |
Shaft Vibration Limits (Calculated)
| Boundary | Formula | S(p-p) μm |
|---|---|---|
| A/B | 4800/√n | — |
| B/C | 9000/√n | — |
| C/D | 13200/√n | — |
1. Scope & Applicable Equipment
ISO 20816-3:2022 establishes guidance for evaluating vibration condition of industrial equipment with power rating above 15 kW and rotational speeds from 120 to 30,000 r/min. Assessment is based on measurements of vibration on non-rotating parts and on rotating shafts under normal operating conditions.
This Standard Applies To:
- Steam turbines and generators with power up to 40 MW
- Rotary compressors (centrifugal, axial)
- Industrial gas turbines with power up to 3 MW
- Electric motors of all types with flexible shaft coupling
- Rolling mills and rolling stands
- Fans and blowers (see note below)
- Conveyors, variable-speed couplings, turbo-fan engines
Notes on Specific Equipment
Steam/gas turbines >40 MW at 1500/1800/3000/3600 r/min → use ISO 20816-2. Gas turbines >3 MW → use ISO 20816-4. Fans: Criteria generally apply only to fans >300 kW or on rigid foundations. For other fans, agree criteria between manufacturer and customer (see also ISO 14694).
This Standard Does NOT Apply To:
- Reciprocating machines → ISO 10816-6 / ISO 20816-8
- Rotodynamic pumps with built-in motors → ISO 10816-7
- Hydraulic power stations → ISO 20816-5
- Positive displacement compressors, submersible pumps
- Wind turbines → ISO 10816-21
Critical Limitation
Requirements apply only to vibration produced by the machine itself, not to externally induced vibration transmitted through foundations. Always verify and correct for background vibration.
2. Machine Classification
Machine vibration condition is assessed depending on machine type, rated power or shaft height, and foundation rigidity.
Classification by Power / Shaft Height
Group 1 — Large Machines
- Power rating > 300 kW, OR electric machines with shaft height H > 315 mm
- Typically equipped with journal (sleeve) bearings
- Operating speeds 120 to 30,000 r/min
Group 2 — Medium Machines
- Power rating 15 – 300 kW, OR electric machines with 160 < H ≤ 315 mm
- Typically equipped with rolling element bearings
- Operating speeds generally > 600 r/min
Classification by Foundation Rigidity
A foundation is rigid if the lowest natural frequency of the machine-foundation system in the measurement direction exceeds the main excitation frequency by at least 25%. All others are flexible.
Direction-Dependent Classification
A foundation may be rigid in one direction and flexible in another. For example, rigid vertically but flexible horizontally. Evaluate each direction separately using appropriate limits.
3. Understanding Zones A–D
Four vibration condition zones are established for qualitative assessment and decision-making:
Zone A — New / Excellent
Newly commissioned machines typically fall here. Represents optimal dynamic condition. Not all new machines achieve Zone A — striving below A/B may yield minimal benefit at high cost.
Zone B — Acceptable
Suitable for unrestricted long-term operation. Continue routine monitoring. This is the normal operating condition for well-maintained equipment.
Zone C — Limited Operation
Not suitable for continuous long-term operation. Plan remedial action. May operate for a limited period until repair opportunity arises. Increase monitoring frequency.
Zone D — Dangerous
Vibration severe enough to cause damage. Immediate action required: reduce vibration or stop the machine. Continued operation risks catastrophic failure.
4. Evaluation Criteria
Criterion I — Absolute Magnitude
The maximum measured broadband RMS vibration (velocity for housing, displacement p-p for shaft) is compared with zone boundary values for the given machine group and support type. This criterion protects against excessive dynamic loads on bearings, unacceptable radial clearance consumption, and excessive vibration transmitted to the foundation.
Criterion II — Change from Baseline
Even if vibration remains in Zone B, a significant change from the established baseline indicates developing problems and requires investigation.
The 25% Rule
A vibration change is considered significant if it exceeds 25% of the B/C boundary value, regardless of current absolute level. This applies to both increases and decreases.
Example: For Group 1 rigid foundation, B/C = 4.5 mm/s. A change > 1.125 mm/s from baseline is significant and requires investigation.
Acceptance Criteria for New Machines
Zone boundaries are not acceptance criteria by default. Acceptance testing limits must be agreed between supplier and customer. Typical recommendation: new machine vibration should not exceed 1.25 × A/B boundary.
5. Measurement Best Practices
Sensor Location
- Mount on bearing housings or pedestals — not on thin-walled covers or flexible surfaces
- Use two mutually perpendicular radial directions at each bearing
- For horizontal machines, one direction is typically vertical
- Avoid locations with local resonances — compare readings at nearby points
- If direct access to bearing impossible, use a point with rigid mechanical connection
Operating Conditions
- Measure in steady-state operation at nominal speed and load
- Allow rotor and bearings to reach thermal equilibrium (typically 30–60 min)
- For variable-speed/load machines, measure at all characteristic operating points, use the maximum
- Document conditions: speed, load, temperatures, pressures
Frequency Range
| Application | Lower Limit | Upper Limit | Notes |
|---|---|---|---|
| Standard broadband | 10 Hz | 1000 Hz | Most industrial machinery (>600 r/min) |
| Low-speed (≤600 r/min) | 2 Hz | 1000 Hz | Must capture 1× running speed |
| Shaft vibration | — | ≥ 3.5 × fmax | Per ISO 10817-1 |
| Diagnostics | 0.2 × fmin | 2.5 × fexcit | Extended, up to 10,000 Hz |
Background Vibration
25% Rule for Background
If stopped-machine vibration exceeds 25% of operating vibration OR 25% of Zone B/C boundary, corrections are needed:
If background exceeds these thresholds, simple subtraction is invalid — investigate external sources.
6. Housing Vibration Limits (Annex A)
The primary monitored parameter is RMS vibration velocity. Zone boundary values for Groups 1 and 2 are presented in Tables A.1 and A.2 above. Key notes:
- For machines with rotor speed below 600 r/min, both velocity and displacement criteria apply. The frequency band extends to 2–1000 Hz.
- Group 1 displacement is derived from velocity at reference frequency 12.5 Hz
- Group 2 displacement is derived from velocity at reference frequency 10 Hz
- The worst-case zone (from velocity or displacement) governs
7. Shaft Vibration Limits (Annex B)
For shaft relative vibration measured with proximity probes, zone boundaries are expressed as peak-to-peak displacement S(p-p) in μm, inversely proportional to √n:
B/C: S(p-p) = 9000 / √n
C/D: S(p-p) = 13200 / √n
where n = max operating speed in r/min, min 600 for calculation
Bearing Clearance Limitation (Annex C)
For journal bearings, shaft vibration zone boundaries must be checked against actual bearing clearance. If formula-calculated limits exceed clearance, use clearance-based limits:
- A/B: 0.4 × clearance
- B/C: 0.6 × clearance
- C/D: 0.7 × clearance
8. WARNING & TRIP Alarm Levels
TRIP = within Zone C or D, typically ≤ 1.25 × (C/D boundary)
| Level | Basis | Setting | Adjustable? |
|---|---|---|---|
| WARNING | Machine-specific baseline | Baseline + 25% of B/C | Yes — adjust with baseline changes |
| TRIP | Mechanical integrity | Within Zone C/D, ≤ 1.25 × C/D | No — same for similar machines |
9. Transient Operation
Zone boundaries apply to steady-state operation. During run-up, coast-down, or passage through critical speeds, higher vibration is expected.
| Speed % of Rated | Housing Limit | Shaft Limit | Notes |
|---|---|---|---|
| < 20% | See note | 1.5 × C/D | Displacement may dominate |
| 20% – 90% | 1.0 × C/D | 1.5 × C/D | Critical speed passage allowed |
| > 90% | 1.0 × C/D | 1.0 × C/D | Approaching steady-state |
If vibration remains high after reaching operating speed, it indicates a persistent fault, not a transient resonance.
10. Physics & Signal Processing
Displacement–Velocity–Acceleration
For sinusoidal vibration at frequency f (Hz):
Acceleration: Apeak = (2πf)² × Dpeak = 2πf × Vpeak
- At low frequencies (<10 Hz): displacement is the critical parameter
- At mid frequencies (10–1000 Hz): velocity correlates with energy — frequency-independent
- At high frequencies (>1000 Hz): acceleration becomes dominant
RMS vs Peak
Vp-p = 2 × Vpeak ≈ 2.828 × VRMS
Broadband RMS (Overall)
This "Overall" value is what vibration analyzers display and what ISO 20816-3 uses for zone evaluation.
Low-Speed Problem (Annex D)
At constant velocity of 4.5 mm/s, displacement grows dramatically with decreasing speed:
| Speed (rpm) | Freq (Hz) | Velocity (mm/s) | Displacement (μm peak) |
|---|---|---|---|
| 3600 | 60 | 4.5 | 12 |
| 1800 | 30 | 4.5 | 24 |
| 600 | 10 | 4.5 | 72 |
| 120 | 2 | 4.5 | 358 |
This is why the standard requires both velocity and displacement criteria for machines ≤600 r/min.
11. Influence Coefficient Balancing
When unbalance is diagnosed (high 1× vibration, stable phase), the influence coefficient method calculates precise correction weights:
Correction mass: Mcorr = −Vinitial / α
Single-Plane Procedure (3 runs)
- Initial run: Measure A₀ = 6.2 mm/s at φ₀ = 45°
- Trial weight: Add 20 g at 0°. Measure A₁ = 4.1 mm/s at φ₁ = 110°
- Calculate: Software computes correction = 28.5 g at 215°
- Apply & verify: Remove trial, add 28.5 g at 215°. Final: 1.1 mm/s → Zone A
The Balanset-1A performs all vector math automatically, guiding the technician through each step.
12. Case Studies
Misdiagnosis Avoided Through Dual Measurement
Machine: 5 MW steam turbine, 3000 rpm, journal bearings.
Situation: Housing vibration = 3.0 mm/s (Zone B). But shaft vibration = 180 μm p-p. Annex B limit B/C = 164 μm → Shaft in Zone C!
Root cause: Oil film instability (oil whirl). Heavy pedestal damped housing motion. Relying only on housing measurement would have missed the condition.
Action: Adjusted oil supply pressure, re-shimmed bearing. Shaft vibration reduced to 90 μm (Zone A).
✓ Zone A achieved — oil whirl eliminatedBalancing Saves a Critical Fan
Machine: 200 kW induced draft fan, 980 rpm, flexible coupling.
Initial: Vibration = 7.8 mm/s (Zone D). Plant considering emergency shutdown ($50,000, 3-day outage).
Diagnosis: FFT shows 1× = 7.5 mm/s. Phase stable → Unbalance, not bearing damage.
Action: Two-plane balancing with Balanset-1A, 4 hours on-site. Final = 1.6 mm/s (Zone A).
✓ $50,000 saved — avoided unnecessary shutdownZone D Pump — Balancing Won't Help
Machine: 200 kW feed pump, rigid foundation. RMS = 5.0 mm/s → Zone D.
Diagnosis: FFT shows harmonic forest and high noise floor. 1× peak low relative to total. Not unbalance.
Root cause: Bearing degradation + cavitation. Required mechanical overhaul.
✗ Immediate shutdown required — mechanical failure13. Common Mistakes
Critical Errors to Avoid
1. Wrong classification. A 250 kW motor with H=280 mm is Group 2 (not Group 1). Using Group 1 limits (more lenient) permits excessive vibration.
2. Wrong foundation type. Not all concrete foundations are "rigid." A turbogenerator on concrete may be flexible if system natural frequency is near running speed. Verify by calculation or impact testing.
3. Ignoring background vibration. A pump reading 3.5 mm/s with 2.0 mm/s from an adjacent compressor through the floor: actual pump contribution is only ~1.5 mm/s. Always measure with machine stopped.
4. Peak instead of RMS. ISO 20816-3 requires RMS. Peak ≈ 1.414 × RMS. Using peak values directly overestimates severity by ~40%.
5. Neglecting Criterion II. Fan jumps from 1.5 to 2.5 mm/s (both Zone B). Change = 1.0 mm/s vs threshold 1.125 mm/s (25% of B/C=4.5). Close to threshold — investigate!
6. Wrong frequency range. A 400 rpm mill with 10–1000 Hz filter: running frequency = 6.67 Hz is below the filter! Use 2–1000 Hz for machines ≤600 r/min.
7. Measuring on thin walls. Accelerometer on fan casing sheet metal gives 10× higher readings than actual bearing vibration. Always mount on bearing cap or pedestal.
14. Complete Assessment Workflow
Step-by-Step Procedure
- Identify machine: Record type, model, rated power, speed range
- Classify: Determine Group (1 or 2) from power rating or shaft height H
- Assess foundation: Measure/calculate fn of machine-foundation system vs frun
- Select zone boundaries from standard for group + foundation type
- Set up instruments: Mount sensors on bearing housings, configure frequency range
- Background check: Measure vibration with machine stopped
- Operating measurement: Reach thermal equilibrium, steady-state, measure RMS velocity
- Background correction: Apply energy subtraction if threshold exceeded
- Zone classification (Criterion I): Compare maximum RMS to boundaries
- Trend analysis (Criterion II): Calculate change from baseline, check 25% rule
- Spectral diagnosis: If needed, use FFT to identify fault type
- Corrective action: Zone A → baseline; B → monitor; C → plan repair; D → immediate action
- Balance if unbalance diagnosed: Use Balanset-1A influence coefficient method
- Document: Report with before/after spectra, zone classification, actions taken
🔧 Balanset-1A — Portable Vibration Analyzer & Field Balancer
The Balanset-1A is a precision instrument that directly supports ISO 20816-3 requirements for vibration measurement and assessment:
- Vibration measurement: Velocity (mm/s RMS), displacement, acceleration — all ISO 20816-3 parameters
- Frequency range: 5 Hz – 550 Hz (standard), expandable — covers 2–1000 Hz requirement
- Single-plane and two-plane balancing: Reduce vibration to Zone A/B levels
- Phase measurement: ±1° accuracy for balancing and vector analysis
- RPM range: 150 to 60,000 rpm — fully covers ISO 20816-3 scope
- FFT spectrum: Identify fault types (1×, 2×, harmonics, bearing defects)
- Report generation: Document measurements for compliance records
15. Reference Standards
Normative References
| Standard | Title |
|---|---|
| ISO 2041 | Mechanical vibration, shock and condition monitoring — Vocabulary |
| ISO 2954 | Requirements for instruments for measuring vibration severity |
| ISO 10817-1 | Rotating shaft vibration measuring systems — Relative and absolute sensing |
| ISO 20816-1:2016 | Mechanical vibration — Measurement and evaluation — General guidelines |
ISO 20816 Series
| Standard | Scope | Status |
|---|---|---|
| ISO 20816-1:2016 | General guidelines | Published |
| ISO 20816-2:2017 | Steam/gas turbines >40 MW, 1500–3600 r/min | Published |
| ISO 20816-3:2022 | Industrial machinery >15 kW, 120–30,000 r/min | Published (this document) |
| ISO 20816-4:2018 | Gas turbine driven sets | Published |
| ISO 20816-5:2018 | Hydraulic power plants | Published |
| ISO 20816-8:2018 | Reciprocating compressor systems | Published |
| ISO 20816-9 | Gear units | In development |
Complementary Standards
| Standard | Title | Relevance |
|---|---|---|
| ISO 21940-11 | Rotor balancing — Procedures and tolerances | Balance quality grades G0.4–G4000 |
| ISO 13373-1/2/3 | Vibration condition monitoring & diagnostics | FFT, analysis, fault signatures |
| ISO 18436-2 | Vibration analyst certification (Cat I–IV) | Personnel competence |
| ISO 14694 | Industrial fans — Balance quality and vibration | Fan-specific limits |
GOST Correspondence (Annex DA)
| ISO Standard | Correspondence | GOST Equivalent |
|---|---|---|
| ISO 2041 | IDT | GOST R ISO 2041-2012 |
| ISO 2954 | IDT | GOST ISO 2954-2014 |
| ISO 10817-1 | IDT | GOST ISO 10817-1-2002 |
| ISO 20816-1:2016 | IDT | GOST R ISO 20816-1-2021 |
IDT = Identical standards.
Historical Context
ISO 20816-3:2022 replaces ISO 10816-3:2009 (housing vibration) and ISO 7919-3:2009 (shaft vibration), integrating both into a unified evaluation framework. The pioneer work by Rathbone (1939) established the foundation for using velocity as the primary vibration criterion.
16. Frequently Asked Questions
ISO 20816-3:2022 supersedes and replaces both ISO 10816-3:2009 and ISO 7919-3:2009. Main differences: integration of housing and shaft vibration criteria into one document, updated zone boundaries based on more recent operational experience, clearer guidance on foundation classification, and expanded guidance on low-speed machines. If your specifications reference ISO 10816-3, you should transition to ISO 20816-3.
For most machines above 600 r/min, velocity is the primary criterion. Use displacement additionally when: machine speed is ≤600 r/min (displacement may be the limiting factor), significant low-frequency components are present, or measuring shaft relative vibration (always use peak-to-peak displacement). If in doubt, check against both criteria — the worst-case zone governs.
The most accurate method is to measure or calculate the lowest natural frequency of the machine-foundation system. Methods: impact test (bump test), operational modal analysis, or FEA calculation. Quick estimate: if the machine visibly moves on its mounts during startup/shutdown, it's likely flexible. If fn ≥ 1.25 × running frequency → Rigid; otherwise → Flexible. Note: a foundation may be rigid vertically but flexible horizontally.
Zone C means not suitable for continuous long-term operation, but doesn't require immediate shutdown. You should: investigate the cause, plan remedial action, monitor frequently for rapid changes, set a deadline for repair (next scheduled outage), and ensure vibration doesn't approach Zone D. The decision to continue depends on machine criticality and consequences of failure.
Unbalance is the most common cause of excessive vibration at running speed (1×). Field balancing with the Balanset-1A can reduce vibration from Zone C/D back to Zone A/B. The instrument measures vibration velocity to ISO 20816-3 requirements, calculates correction masses, verifies results, and documents before/after levels for compliance records.
Sudden increases (triggering Criterion II) may indicate: loss of balance weight, bearing damage, coupling failure, structural looseness (foundation bolt loosening), rotor rub, or process changes (cavitation, surge). Any change >25% of B/C boundary warrants investigation, even if absolute level is still acceptable.
If housing vibration indicates Zone B but shaft vibration indicates Zone C, classify the machine as Zone C (the more restrictive assessment governs). There is no simple method to calculate housing vibration from shaft vibration or vice versa. Always use the worst-case zone from dual measurements.