Test of a Pinched Cylinder with Diaphragm

Description

A cylindrical shell of thickness 3" is covered at both ends with rigid diaphragms to allow displacement only along its axial direction. At the cylinder mid-span, a load of 1 lb is applied as shown in the figure below. Determine the radial deflection at the point where the load is applied. The radius and length of the cylinder are 300" and 600" respectively.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_11.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 3" - Thin formulation.

Meshing Parameters

Use a Global Size of 25 in.

Material Properties

Modulus of elasticity = 3 X 10⁶ psi, Poisson's ratio = 0.3.

Modeling Hints

Due to symmetry, only one-eighth of the cylinder is modeled. To simulate the rigid diaphragm, translations in the radial and circumferential directions and rotations about the axial direction are all set to zero.

Results

Reference

Dvorkin, E. N., and Bathe, K. J., “A Continuum Mechanics Based Four Node Shell Element for General Nonlinear Analysis,” Engineering Computations, 1, 77-78, 1984.