Real-time vibration isolation analysis based on first-principles SDOF theory. Formulas from Den Hartog and Thomson & Dahleh.
| Order | Frequency (Hz) | Source | Transmissibility | Isolation % | Insertion Loss (dB) | Status |
|---|
All calculations from first-principles SDOF vibration theory
f_n = (1/2pi) * sqrt(k_total / m)
Where k_total = N_mounts * k_per_mount (N/m), m = total supported mass (kg). Units: Hz.
T = 1 / sqrt((1-r^2)^2 + (2*zeta*r)^2)
Where r = f/f_n (frequency ratio), zeta = damping ratio. T < 1 means isolation, T > 1 means amplification.
IL = -20 * log10(T) dB
Decibel measure of vibration reduction. 20 dB = 10x reduction, 40 dB = 100x, 60 dB = 1000x.
f_fire = RPM * N_cyl / (60 * stroke_factor)
stroke_factor = 2 for 4-stroke, 1 for 2-stroke. This is the dominant excitation frequency for reciprocating engines.