Vibration Analysis Calculator
Analyze single-degree-of-freedom vibration systems. Calculate natural frequency, damping ratio, transmissibility, and amplitude magnification.
Inputs
lb/in
lb
lb·s/in
Hz
Results
Natural Frequency
31.29 Hz
Transmissibility
8.11
Amplitude Magnification
8.07
Damping Ratio (ζ)0.05
Frequency Ratio (r)0.96
How to Use This Calculator
- Enter the Spring Stiffness (k) in lb/in — for isolator pads or mounts, the stiffness is listed in the product datasheet. Add values in parallel.
- Enter the Supported Weight in lb — the total weight of the equipment or vibrating mass.
- Enter the Damping Coefficient (c) in lb·s/in — for steel structures ≈ 1–5% critical damping; rubber mounts ≈ 5–15%.
- Enter the Excitation Frequency in Hz — for rotating machinery use f = RPM / 60.
- Review the Natural Frequency in Hz — the excitation frequency should not be within 20% of the natural frequency to avoid resonance.
- Check Transmissibility — a value below 1.0 means isolation is effective; above 1.0 means vibration is being amplified.
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