Large Displacement of a Cylindrical Shell - Force

Description

A shallow cylindrical shell is subjected to concentrated load at its center. The curved edges are free and the straight edges are hinged. Due to symmetry, only a quarter of the plate (shown below) is modeled. Determine the deflection.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Nonlinear_Static_7.SLDPRT and open the file.

Study Type

Nonlinear.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 12.7 mm - thick shell formulation.

Meshing Parameters

Use a Global Size of 0.8".

Material Model

Linear elastic isotropic.

Material Properties

Modulus of elasticity = 3102.75 N/mm2, Poisson's ratio = 0.3.

Restraints and Loads

The shell is fixed along its straight edges and symmetry conditions are applied to the edges of symmetry. A force is applied at the center as shown:

Results

The force versus central deflection curve shown below is in agreement with analytical results.



The results of the nonlinear analysis have been processed by a graphing software to generate the above graph.

Reference

Horrigmoe, G., "Finite Element Instability Analysis of Free-Form Shells," Report No. 77-1, the Norwegian Institute of Technology, the University of Trondheim, Norway (1977).