Related Resources: vibration

Beam Spring Fixed Ends with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

Beam Spring Fixed Ends with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator

Beam Spring Fixed Ends with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator

ωn = 14 [ ( E I ) / ( l3 ( m + 0.375 mb ) ] (1/2)

Where:

m = Mass of Load ( lb-sec2 / in ),
mb = Mass of Beam Spring ( lb-sec2 / in ),
l = Length of Beam Spring (in),
I = Area Moment of Inertia of Beam Cross Section (in4)
E = Young's Modulus ( lb / in2 ),
ωn = Angular Natural Frequency ( rad / sec )

Related and Useful Links:

Reference Harris, Shock and Vibration Handbook

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