Related Resources: vibration
Angular Natural Frequency Shaft and One Mass Equations and Calculator
Machine Design and Engineering
Angular Natural Frequency of Shaft and One Mass Equations and Calculator
Mass Spring Systems in Translation Equation and Calculator
ωn = [ kt / ( I + (1/3) Is ) ] 1/2
Where:
kt = Torsional Stiffness of Shaft ( lb-in/rad )
Is = Rotary Mass Moment of Inertia of Suporting Shaft ( lb-in-sec )
I = Rotary Mass Moment of Inertia of Mass ( lb-in-sec2 )
ωn = Angular Natural Frequency ( rad/sec )
Reference Harris, Shock and Vibration Handbook