Beam Longitudinal Vibration Frequency

Calculate beam longitudinal natural vibration frequency for modes 1 to 8.

The longitudinal natural vibration frequency for a beam can be calculated by

`fn = k / (2 L) √(E / ρ) `

where :

fn = natural frequency [Hz]
k = mode factor
L = beam length
E = beam elastic modulus
ρ = beam density

The mode factor k is dependent on the mode number and the beam end type. The longitudinal natural frequency is independent of the cross section profile. The Fix-Fix and Free-Free modes have the same natural frequencies, but different mode shapes.

Use the Result Table and Result Plot options to display tables and plots. Refer to the help pages for more details about the tools.

References :

Shock And Vibration Handbook, Cyril M Harris, McGraw Hill
Roark's Formulas For Stress And Strain, Warren C Young, McGraw Hill

Change Module :

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• Rectangular Beam Natural Vibration Frequency Calculation Module
• Rectangular Channel Beam Natural Vibration Frequency Calculation Module
• Right Angle Beam Natural Vibration Frequency Calculation Module
• Rotated Beam Natural Vibration Frequency Calculation Module
• Square Beam Natural Vibration Frequency Calculation Module
• T Section Beam Natural Vibration Frequency Calculation Module
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• All
• More Beam Natural Vibration Frequency Modules

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