Single Degree-of-Freedom Systems: Vibration Calculator
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 The vibration frequency of unforced spring-mass-damper systems depends on their mass, stiffness, and damping values. The ensuing time-behavior of such systems also depends on their initial velocities and displacements. To calculate the vibration frequency and time-behavior of an unforced spring-mass-damper system, enter the following values. (The default calculation is for an undamped spring-mass system, initially at rest but stretched 1 cm from its neutral position. Answers are rounded to 3 significant figures.)
Inputs
 Mass, m: Kg g slug lb Stiffness, k: N/m dyne/cm Kgf/m gf/cm lbf/ft lbf/in Damping, cv: N-s/m dyne-s/cm Kgf-s/m gf-s/cm lbf-s/ft lbf-s/in Initial Displacement, x0: m cm mm ft in Initial Velocity, v0: m/s cm/s mm/s ft/s in/s