Related Resources: vibration

Angular Natural Frequency Shaft Two Masses Equations and Calculator

Machine Design and Engineering

Angular Natural Frequency of Shaft and Two Masses Equations and Calculator

Mass Spring Systems in Translation Equation and Calculator

ω_n = [ ( k_t ( I₁ + I₂ ) ) / ( I₁I₂ ) ] ^1/2

Where:

k_t = Torsional Stiffness of Shaft ( lb-in/rad )
I_{1, 2} = Rotary Mass Moment of Inertia ( lb-in-sec² )
ω_n = Angular Natural Frequency ( rad/sec )

Reference Harris, Shock and Vibration Handbook