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eng.vibration-damping Calculator
Calculates damped natural frequency, logarithmic decrement, and energy dissipated per cycle for a damped oscillator. Critical damping (ζ = 1) gives the fastest return to equilibrium without oscillation — overdamped systems return slower, underdamped systems oscillate.
Inputs
K
Reference formula or conversion factor shown for context.
M
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
C
Reference formula or conversion factor shown for context.
F Excite
Reference formula or conversion factor shown for context.
Results
natural frequency (Hz)
Frequency at which the structure resonates freely (Hz). If machinery operates near this, resonance can amplify vibrations dangerously. Engineers detune structures to avoid it.
damping ratio zeta
The proportional relationship between two quantities.
damped frequency (Hz)
Sample size or count used in the calculation.
transmissibility at f_ex
The value at the specified point or condition.
system type
The classification or type assigned based on the inputs.