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eng.torsional-vibration-shaft Calculator
Calculates torsional natural frequency of a shaft-disk system from shaft stiffness and disk moment of inertia. Torsional resonance in a drivetrain occurs when excitation frequency matches the torsional natural frequency — diesel engine torque pulses are a common excitation source.
Inputs
J1 Kg M2
Reference formula or conversion factor shown for context.
J2 Kg M2
Reference formula or conversion factor shown for context.
Gj Shaft Nm2
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.
effective polar moment J_eff (kg·m²)
Sample size or count used in the calculation.
J₁/J₂ ratio
The proportional relationship between two quantities.