Free Vibration Calculator

Calculate natural frequency, period, and damped response of single degree-of-freedom spring-mass-damper systems.

System mass.
kg
System spring constant.
N/m
Viscous damping coefficient. 0 for undamped.
N·s/m
Initial displacement from equilibrium.
mm

Results

Natural Frequency ωn-rad/s
Natural Frequency fn-Hz
Damping Ratio ζ-
Damped Frequency ωd-rad/s
Damped Period-seconds
Critical Damping-N·s/m
References: Rao — Mechanical Vibrations; Thomson — Vibration Theory