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Natural Frequency of a Shaft for Torsional Vibration Calculator






 

 

 

 


How This Is Calculated


$$ f_n = \frac{1}{2 \pi} \sqrt{\frac{G \cdot J}{\rho \cdot L^4}} $$ where:

fn   =   Natural Frequency   (Hz)

G   =   Shear Modulus   (Pa)

J   =   Polar Moment of Inertia   (m4)

ρ   =   Density   (kg/m³)

L   =   Length of the shaft   (m)


Assumptions


  • The shaft experinces small deflections relative to its length.
  • The material behaves elastically.
  • The shaft is experiencing pure torsion.
  • Damping effects are neglected.


Related Calculators


Angle of Twist Bending Stress Deflection Under Load Polar Moment of Inertia of a Circular Shaft Power Transmitted Through a Shaft