Large Displacement of a Circular Plate

Description

Investigate the large displacement behavior of a simply supported circular plate of radius 100 cm and thickness 1 cm with radially movable edges. The plate is subjected to a normal pressure of magnitude 400 N/cm².

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Nonlinear_Static_2.SLDPRT and open the file.

Study Type

Nonlinear.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 1 cm - thin shell formulation.

Material Model

Linear elastic isotropic.

Material Properties

Modulus of elasticity = 2 X 10⁸ N/cm², Poisson's ratio = 0.25.

Modeling Hints

Due to axial symmetry, only a wedge of the plate is modeled.

Restraints and Loads

The circular edge of the plate is simply supported. Symmetry boundary conditions are applied to the straight edges. Pressure is gradually applied normal to the plate as shown:

Results

The deflection at the center of the plate as a function of pseudo time is shown below:

The time history of the displacement at the center of the plate is in good agreement with analytical results.

Reference

Timoshenko, S., and Woinowsky-Kreiger, S., "Theory of Plates and Shells," pp.411.