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General kinematics and force arithmetic

Cooling Tower Fan Kinematics Calculator

Calculate shaft frequency, blade-pass frequency and blade-tip speed. Optional inputs add force from a supplied residual unbalance, tip-clearance ratio and descriptive frequency separation.

No automatic balance gradeNo generic alarm limitsSI units

Input boundary: U must represent the intended rotating assembly and reference axis. Natural frequency must be measured for the relevant structural mode. Clearance ratio is descriptive; the acceptable clearance comes from the fan manufacturer and verified operating deflection/thermal envelope.

Calculated quantities

Frekvencija prolaska lopatice
Shaft 1× frequency
Blade-tip speed
Force amplitude from supplied U
Not calculated
Tip-clearance / diameter ratio
Not calculated
Separation: fн versus 1×
Not calculated
Separation: fн versus BPF
Not calculated

ф=n/60;   fБПФ=zn/60;   vбакшиш=πDn/60
ω=2πn/60;   F=U·10−6·ω²
clearance ratio=100c/(1000D);   separation=100|fexc−fн|/fн

These are general kinematic, geometric and rotating-force equations; they are not formulas mandated by ISO. With U in g·mm, 1 g·mm=10−6 kg·m, so the force result is in newtons.

ISO 14694:2003/Amd 1:2010 covers industrial-fan balance/vibration specifications within stated power/application limits and excludes foundation/installation effects and effects on personnel, equipment or processes. It is under revision. ISO 14695:2003/Cor 1:2009 describes fan-vibration measurement and does not itself give interpretation criteria.

ISO 21940-11:2016 са Amd 1:2022 establishes procedures/tolerances for rotors with rigid behaviour and excludes flexible rotors. This page therefore does not choose G6.3, allocate permissible unbalance to planes or assert that a cooling-tower fan is rigid.

No risk classification: frequency proximity alone is not proof of resonance, and tip speed or clearance ratio alone is not proof of safe blade stress/contact margin. Use manufacturer limits, modal/operational testing, damping and operating-envelope review.

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General arithmetic only; no vibration, balance, stress, clearance or trip acceptance decision. Scientific review: July 2026.

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