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Massive Spring with Concentrated Mass Load Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Massive Spring with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator

Massive Spring with Concetrated Mass Loads Angular Natural Frequency Calculator

ωn = [ k / ( m + ms / 3 ) ] (1/2)

Where:

m = Mass of Load ( lb-sec2 / in ),
ms = Mass of Spring ( lb-sec2 / in ),
k = Stiffness of Spring ( lb / in ),
ωn = Angular Natural Frequency ( rad / sec )

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook

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