Frequencies of a Cylindrical Thin Shell

Description

Determine the first three natural frequencies of the cylindrical shell shown in the figure. The model dimensions are: L = 6 in, R = 3 in, and t = 0.01 in. Consider symmetric modes only.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Frequency_4.SLDPRT and open the file.

Study Type

Frequency.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 0.01 in - Thin formulation.

Material Properties

Modulus of elasticity = 30,000,000 psi, Poisson's ratio = 0.3, Density = 0.282072 lb/in³.

Modeling Hints

Since symmetric modes are considered, 1/8 of the cylinder is modeled.

Results

Reference

Kraus, “Thin Elastic Shells,” John Wiley & Sons, Inc., p. 307.