🛡️ Vibration Isolator Designer

Design mechanical vibration isolators and shock mounts using force transmissibility ($T_R$). Calculate required static deflection ($\delta_{st}$), isolation efficiency ($\eta$), and operating frequency ratio ($r = \omega/\omega_n > \sqrt{2}$).

Machine Mass ($m$) kg

Disturbance Speed ($N$) RPM (30 Hz)

Target Isolation ($\eta$) % reduction

Isolator Damping ($\zeta$)

Isolation Zone starts at $r > \sqrt{2} \approx 1.414$

Transmissibility ($T_R$)

0.100 (10%)

90.0% Vibration Blocked

Required Mount $f_n$

8.94 Hz

Freq ratio $r = 3.35$

Static Deflection ($\delta_{st}$)

3.08 mm

Sag under gravity $g$

Total Spring Stiffness ($K$)

1,591 kN/m

398 kN/m × 4 mounts

Design Recommendation: To achieve 90% isolation of an 1800 RPM (30 Hz) disturbance, select 4 elastomeric/spring mounts providing at least 3.1 mm static deflection under a 500 kg total dead load.