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如何计算Critical Speed

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Critical speed is the rotational speed at which a rotating shaft reaches natural frequency resonance. Operating above or below critical speed is essential.

公式

Calculate: N_crit = (60 × √(g × δ)) / (π × √(W/g))
W
W value — Variable used in the calculation

分步指南

  1. 1Calculate: N_crit = (60 × √(g × δ)) / (π × √(W/g))
  2. 2Or use stiffness and inertia: ω_n = √(k/I)
  3. 3Operating speed should be <70% or >130% of critical

例题解析

输入
Shaft natural frequency 3000 rpm
结果
Operating range <2100 rpm or >3900 rpm safe
Avoid 2100-3900 band

常见错误注意事项

  • Operating continuously near critical speed
  • Under-estimating critical speed (causes resonance)

常见问题

What happens at critical speed?

Resonance causes excessive vibration, noise, and potential failure from fatigue.

Can you operate near critical speed briefly?

Yes, passing through critical speed quickly during startup/shutdown is acceptable.

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