Free Engineering Tool #063
Vibration Mount Selection Calculator
Select vibration isolation mounts by machine mass, operating frequency, and target isolation percentage. Calculate required mount stiffness, number of mounts, and static deflection.
Results
Transmissibility
The transmissibility T defines the fraction of vibration force transmitted through the mounts:
where r = f/fn is the frequency ratio. For isolation (T < 1), we need r > √2.
Required Natural Frequency
From the target isolation percentage, the required natural frequency is:
Required Stiffness
Static Deflection
Given: Machine mass = 500 kg, Operating freq = 25 Hz, Target isolation = 90%, 4 mounts
T = 1 − 0.90 = 0.10
r = √(1/T + 1) = √(11) = 3.317
fn = 25 / 3.317 = 7.54 Hz
ktotal = m × (2πfn)² = 500 × (2π × 7.54)² = 1,122 kN/m
kper mount = 1122 / 4 = 280.5 kN/m ≈ 280.5 N/mm
Static deflection = mg/k = 500 × 9.81 / 1,122,000 = 4.37 mm
⚠️ Note: This calculator assumes undamped single-degree-of-freedom isolation. Real mounts have damping that reduces resonance amplification but slightly reduces high-frequency isolation.
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