वाइब्रेशन ट्रांसमिसिबिलिटी कैलकुलेटर

Vibration transmissibility T is the ratio of the response amplitude to the excitation amplitude in a vibration isolation system. T < 1 means vibration is being isolated; T > 1 means amplification is occurring, especially near resonance.

For an undamped system, isolation begins when the frequency ratio r = f/f_n exceeds √2 ≈ 1.414. Below this ratio, the mount amplifies vibration rather than reducing it. The T = 1 crossover at r = √2 holds for any damping ratio.

Low damping (ζ = 0.01–0.1) gives better isolation at high frequency ratios but results in higher resonance peaks. Moderate damping (ζ = 0.1–0.3) limits resonance amplification at the expense of some high-frequency isolation performance.

Isolation efficiency = (1 − T) × 100%. For example, T = 0.1 means 90% isolation efficiency. This metric is only meaningful when T < 1, i.e., when the frequency ratio r > √2.

The frequency ratio r = f/f_n, where f is the forcing (excitation) frequency and f_n is the natural frequency of the isolation system. The system's dynamic response depends primarily on this ratio and the damping ratio ζ.