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Rotorni balanslashtirish uchun sinov og'irligi kalkulyatori
Calculate the recommended trial weight mass for single-plane rotor balancing using an empirical field formula. Accounts for rotor mass, speed, correction radius, support stiffness, and vibration severity — and automatically caps the result so the trial-weight centrifugal force stays below 10% of the rotor weight.
Results
Sinov og'irligi formulasi
The trial weight mass is estimated using an empirical field formula (based on Vibromera balancing experience, not derived from ISO 21940) that accounts for support conditions and vibration severity:
- Mt — sinov og'irligi massasi (g)
- Mr — rotor massasi (g) — kg da kiritiladi, dastur ichida gramlarga o'tkaziladi
- Ksupp — tayanch qattiqlik koeffitsienti (0.5–5.0)
- Kvib — tebranish darajasi koeffitsienti (0.5–3.0) — mm/s da o'lchangan tebranish asosida aniqlanadi
- Rt — sinov og'irligini o'rnatish radiusi (sm) — mm da kiritiladi, dastur ichida sm ga o'tkaziladi
- N — rotor tezligi (RPM)
Tayanch qattiqligi koeffitsienti (Ksupp)
Bu koeffitsient mashina tayanch konstruktsiyasining muvozanatsizlikka vibrasion javobiga ta'sirini ifodalaydi:
| Ksupp | Support Type | Tavsif |
|---|---|---|
| 5.0 | Very rigid | Massiv beton blok, qattiq po'lat konstruktsiya. Muvozanatsizlik bilan vibrasiya deyarli o'zgarmaydi — katta heavier sinov og'irligi talab etiladi (yuqori Ksupp). |
| 4.0 | Rigid | Beton poydevor, qattiq postament. Katta nasoslar va kompressorlar uchun xarakterli. |
| 2.0–3.0 | Medium | Standart sanoat mahkamlash usuli, beton ustidagi plita. Ventilyatorlar, motorlar va umumiy mexanizmlar uchun eng keng tarqalgan holat. |
| 1.0 | Flexible | Prujinali tayanchlar, rezina izolyatorlar. Mashina erkin tebranadi — lighter kichik sinov og'irligi yetarli (past Ksupp). |
| 0.5 | Very flexible | Osma tayanch, yumshoq izolyatorlar, balansirovka stendi/beshigi. Maksimal vibrasion javob — eng yengil sinov og'irligi. |
Rule of thumb: Rigid supports (Ksupp = 4–5) “absorb” vibration, so you need a heavier trial weight to produce a measurable change. Flexible supports (Ksupp = 0.5–1) amplify the response, so a lighter trial weight works.
Vibrasiya darajasi koeffitsienti (Kvib)
Bu koeffitsient balansirovkadan oldin mashinaning joriy vibrasiya shiddatini aks ettiradi:
| Kvib | Tebranish Darajasi | Condition |
|---|---|---|
| 0.5 | Yaxshi (≤ 1 mm/s) | Juda silliq ishlash. Allaqachon past bo'lgan vibrasiya signali bosib ketilmasligi uchun yengil sinov og'irligidan foydalaning. |
| 0.8 | Yaxshi (1–2 mm/s) | Silliq ishlash. Faqat nozik sozlash. Yengil sinov og'irligi. |
| 1.0 | Qoniqarli (2–3 mm/s) | Seziladi, ammo qoniqarli vibrasiya. Standart balansirovka ishi. |
| 1.2 | Qoniqarli (3–4.5 mm/s) | O'rtacha muvozanatsizlik. Sahadagi tipik holat. |
| 1.5 | Yuqori (4,5–11 mm/s) | Aniq, sezilarli muvozanatsizlik. Eng keng tarqalgan dala balanslashtirish holati — standart diapazon. |
| 2.0 | Xavfli (11–18 mm/s) | Katta muvozanatsizlik, shoshilinch balanslashtirish talab etiladi. Og'irroq sinov og'irligi mumkin — tebranish allaqachon yuqori. |
| 2.5 | Xavfli (18–28 mm/s) | Jiddiy muvozanatsizlik. O'lchash mumkin bo'lgan vektor o'zgarishini ta'minlash uchun og'irroq sinov og'irligi qo'llanilishi mumkin. |
| 3.0 | Haddan tashqari (> 28 mm/s) | Haddan tashqari tebranish. Balanslashtirishdan oldin mashinani tekshiring; eng og'ir sinov og'irligi diapazoni qo'llaniladi. |
Bu Formula Nima Uchun Ishlaydi
The formula Mt = Mr × Ksupp × Kvib / (Rt × (N/100)²) captures the key physics:
- Heavier rotors og'irroq sinov og'irliklari talab etiladi (Mr bilan chiziqli)
- Higher speeds har gramm uchun ko'proq markazdan qochma kuch hosil qiladi, shuning uchun kamroq sinov og'irligi kerak (N ning kvadratiga teskari)
- Larger radius har gramm uchun ko'proq moment demak, kamroq og'irlik kerak (Rt ga teskari)
- Qattiq tayanchlar aniqlanadigan tebranish o'zgarishini hosil qilish uchun ko'proq og'irlik talab etiladi (yuqori Ksupp = 4–5)
- Moslashuvchan tayanchlar javobni kuchaytiradi, shuning uchun kamroq og'irlik kerak (past Ksupp = 0,5–1)
- Mavjud tebranishning yuqoriligi mavjud muvozanatsizlik kattaroq ekanligini anglatadi — proporsional ravishda kattaroq sinov og'irligi talab etiladi (yuqori Kvib)
Centrifugal Force Safety Cap
The empirical formula alone can suggest a mass that is unsafe at speed — especially with high Ksupp and Kvib values. That is why the calculator always checks the centrifugal force the trial weight would generate:
- F — centrifugal force of the trial weight (N)
- m — trial weight mass (kg)
- r — installation radius (m)
- ω — angular speed (rad/s), N in RPM
A widely used field-balancing guideline is that this force should not exceed about 10% of the rotor weight (W = Mr × 9.81 N). If the empirical formula suggests a heavier mass, the calculator automatically limits the recommended trial weight to the 10%-of-rotor-weight force level and shows a warning. The centrifugal force of the recommended weight (in newtons and as a percentage of rotor weight) is always displayed in the results.
Amaliy Misol
Given: Mr = 111 kg = 111,000 g, N = 1111 RPM, Rt = 111 mm = 11.1 cm, Ksupp = 1.0, Vibration = 11 mm/s → Kvib = 1.5
Step 1: Speed factor: (N/100)² = (1111/100)² = 11.11² = 123.43
Step 2: Denominator: Rt(cm) × (N/100)² = 11.1 × 123.43 = 1,370.1
Step 3: Numerator: Mr(g) × Ksupp × Kvib = 111,000 × 1.0 × 1.5 = 166,500
Step 4: Empirical estimate: Mt = 166,500 / 1,370.1 = 121.5 g
Step 5 — force check: ω = 2π × 1111 / 60 ≈ 116.34 rad/s. For 121.5 g at 0.111 m: F = 0.1215 × 0.111 × 116.34² ≈ 182.6 N — that is ≈ 16.8% of the rotor weight (111 × 9.81 ≈ 1,089 N), above the 10% guideline.
Step 6 — safety cap: Mt(max) = 0.10 × 1,089 / (0.111 × 116.34²) ≈ 0.0725 kg = 72.5 g
Result: Taxminan foydalaning 72 g trial weight at 111 mm radius (capped by the 10% force limit; the raw empirical estimate of 121.5 g would create excessive centrifugal force).
⚠️ Xavfsizlik eslatmasi: An excessively heavy trial weight can cause dangerously high vibration. The goal of the trial run is a measurable but safe response — typically a 20–30% change in vibration amplitude or a 20–30° phase shift. Keep the trial-weight centrifugal force below about 10% of the rotor weight (this calculator enforces that limit automatically). If in doubt, start with half the calculated weight and increase gradually. Always ensure the trial weight is securely attached and cannot detach during rotation.
ISO 21940 usuli bilan taqqoslash
The classic ISO approach uses balance grade G to calculate permissible unbalance, then takes 5–10% of it (divided by the correction radius) as trial weight. This Vibromera formula is an empirical field shortcut, not an ISO-derived equation; it gives comparable results while directly accounting for real-world conditions (support stiffness and current vibration level) that the ISO method assumes are ideal. The added centrifugal-force cap keeps its recommendations within safe limits even when the machine is already vibrating heavily.
Professional dala balanslashtirish asboblari va dasturiy ta'minoti. Balanset seriyali qurilmalar yordamida qurilma joyida ISO 21940-11 talablariga muvofiqlika erishing. 50 dan ortiq mamlakatda qo'llaniladi.
