Related Resources: vibration

Angular Natural Frequency Geared System Equations and Calculator

Machine Design and Engineering

Angular Natural Frequency of Geared System with Masses Gears Equations and Calculator
Speed of Rotors 2 is n times Speed of Rotor 1.

Mass Spring Systems in Translation Equation and Calculator

I<sub>2</sub>

ωn = [ ( kt1 kt2 ( I1 + n2 I2 ) / ( I1 I2 ( n2 kt2 + kt1 ) ) ] 1/2

Where:

kt1, t2 = Torsional Stiffness of Shaft ( lb-in/rad )
I1, 2 = Rotary Mass Moment of Inertia of Mass ( lb-in-sec2 )
n = Rotor speed 2 n times faster than Rotor Speed 1
ωn = Angular Natural Frequency ( rad/sec )

Reference Harris, Shock and Vibration Handbook

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