// multi-utility computation suite · offline · instant · precise
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eng.vibration-frequency Calculator
Calculates the natural frequency, resonant frequency, and damping ratio for a spring-mass-damper system. Operating at the natural frequency causes resonance — the Tacoma Narrows Bridge collapse is the classic example of resonance leading to catastrophic failure.
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.
Damping
Reference formula or conversion factor shown for context.
Results
natural frequency
Frequency at which the structure resonates freely (Hz). If machinery operates near this, resonance can amplify vibrations dangerously. Engineers detune structures to avoid it.
fn
Sample size or count used in the calculation.
damped frequency
Sample size or count used in the calculation.
period
Reference formula or conversion factor shown for context.