Calculates vibration isolation transmissibility T = √(1 + (2ζr)²)/√((1−r²)² + (2ζr)²) where r = ω/ωn, and minimum natural frequency needed for target transmissibility. Isolation requires r > √2 — at r = 3 with ζ = 0.05, T = 0.128 (87% vibration reduction) — soft mounts (low ωn) give better high-frequency isolation.
Inputs
Excitation Freq Hz
Cycles per second (Hz). Audible sound: 20 Hz – 20 kHz. Make sure units match what the formula expects.
Natural Freq 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 T
Sample size or count used in the calculation.
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%.
isolation (dB)
The value at the specified point or condition.
frequency ratio r = f/fn
The proportional relationship between two quantities.
T = √[(1+(2ζr)²)/((1-r²)²+(2ζr)²)]
Reference formula or conversion factor shown for context.