COMMON VIBRATION FORMULAS:
SINUSOIDAL VIBRATION MOTION EQUATIONS:
G = F x V / 61.45 or G = D x F^2 / 19.56 G = Acceleration ( G-peak )
V = 61.45 x G / F or V = Pi x D x F V = Velocity ( In/sec. )
D = V / (Pi x F) or D = 19.56 x G / F^2 D = Displacement ( In p-p )
F = 61.45 x G / F or F = V / Pi x D F = Frequency ( Hertz )
RANDOM VIBRATION EQUATIONS:
Grms = (Gsd x dF ) ^ .5 Grms = Acceleration, rms
Grms = ( Gsd1 x dFl + Gsd2 x dF2, etc ) ^ .5 Gsd = Acceleration density, G^2/Hz.
Drms = 7.14 x (Gsd / F1 ^ 3 ) ^ .5 dF = Frequency bandwidth in Hertz
Dp-p = 42.8 x ( Gsd / F1 ^ 3 ) ^ .5 F1 = Low frequency cutoff
MECHANICALLY RESONANT SYSTEMS:
Fn = (386 x K / W) ^ .5 / 2 x Pi W = Weight of mass, lbs.
K - Spring rate, lbs/in.
Fn - Fundamental resonant freq.
METRIC FORMULAS:
Earth's gravity = 9.807 M / Sec.^ 2
1 Pound-force = 4.448 Newtons
1 Foot = .3048 Meters