// multi-utility computation suite · offline · instant · precise
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eng.vibration-isolation-TMR Calculator
Calculates vibration isolation transmissibility and required isolator static deflection from excitation frequency and desired isolation efficiency. Effective isolation requires operating above √2 × natural frequency — at 3× natural frequency, transmissibility is below 0.13 (87% isolation).
Inputs
F Excitation Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Fn Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Damping Ratio
Reference formula or conversion factor shown for context.
Results
transmissibility ratio TR
The proportional relationship between two quantities.
isolation efficiency
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.
frequency ratio r = f/fn
The proportional relationship between two quantities.
resonance at r=1
The value at the specified point or condition.
TR = √((1+(2ζr)²)/((1-r²)²+(2ζr)²))
Reference formula or conversion factor shown for context.