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Natural Frequencies of a Long Bar

Description

Calculate the first three natural frequencies of a long bar fixed at one end. The bar is 50" long and has a square cross section of side 0.9".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_13.SLDPRT and open the file.

Study Type

Frequency.

Mesh Type

Solid mesh.

Material Properties

Modulus of elasticity = 3 X 10⁷ psi, Poisson's ratio = 0.3, Density = 0.2835 lb/in³.

Results

	f₁ (Hz)	f₂ (Hz)	f₃ (Hz)
Theory	11.79	74.47	208.54
SOLIDWORKS Simulation	11.76	73.61	205.60

Reference

Flugge, W., “Handbook of Engineering Mechanics”, McGraw Hill Book Co. Ltd., 1962, pp61-6, 61-9.

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