Large Deflection of a Clamped Square Plate

Description

Calculate the displacement of a clamped square plate of side 2 m and thickness 0.01 m under a normal pressure q = 2 X 104 N/m2.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Nonlinear_Static_3.SLDPRT and open the file.

Study Type

Nonlinear.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 0.01 m - thin shell formulation.

Material Model

Linear elastic isotropic.

Material Properties

Modulus of elasticity = 10.92 X 1010 N/m2, Poisson's ratio = 0.3.

Modeling Hints

Due to double symmetry, only a quarter of the plate is modeled.

Restraints and Loads

The two outer edges are fixed. Symmetry restraints are applied to the other two edges. Pressure is linearly incremented to its full value of q = 2 X 104 N/m2g.

Results

  Theory SOLIDWORKS Simulation
Deflection at the plate center (m) 0.01594 0.0163
The following graph shows the deflection at the center of the plate versus time:

The results from the above curve are in agreement with analytical results.

Reference

Timoshenko, S., and Woinowsky-Kreiger, S., "Theory of Plates and Shells," pp. 422-423.