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eng.natural-frequency-spring-mass Calculator
Calculates the natural frequency of a lumped spring-mass system and damped natural frequency with damping ratio. At resonance, even small forcing amplitudes cause large oscillations — systems are designed to have natural frequencies well away from operational excitation frequencies.
Inputs
K N M
Reference formula or conversion factor shown for context.
M Kg
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Damping Ratio
Reference formula or conversion factor shown for context.
Results
natural frequency ωn (rad/s)
Frequency at which the structure resonates freely (Hz). If machinery operates near this, resonance can amplify vibrations dangerously. Engineers detune structures to avoid it.
natural frequency fn (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.
damped frequency fd (Hz)
Sample size or count used in the calculation.
critical damping coefficient (N·s/m)
Sample size or count used in the calculation.
ωn = √(k/m)
Sample size or count used in the calculation.
damping type
The classification or type assigned based on the inputs.