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