Large Elastic Deflection of a Pinched Hemispherical Shell

Determine the load-displacement curves at points A and B on a hemispherical shell subjected to point loads.

File Name

Open drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\NAFEMS_3DNLG9.SLDPRT.

Study Type

Nonlinear static with large displacement formulation

Mesh Type

Shell mesh - Thin shell formulation

Mesh Size

Use a standard mesh with global element size of 0.48 in.

Shell Parameters

Shell thickness = 0.04 in - Thin shell formulation

Material Properties

  • Modulus of elasticity (E) = 6.825 x 107 psi
  • Poisson's ratio (ν) = 0.3
  • Mass density (ρ) = 0.28 lb/in3

Results

Plot the result for radial displacement variation with applied load at points A and B.

Process the results of the analysis using graphing software to generate the graph.

The Y-axis shows displacements in inches and the X-axis shows the applied load P in pounds. The blue line shows the radial displacement at point A and the red line shows the radial displacement at point B.

The force-deflection curves agree with the finite element solution provided in the reference.

  Radial Displacement (in)
Load (lbf) Node Reference SOLIDWORKS Simulation
100 Node A -5.952 -5.845
100 Node B 3.427 3.399

Reference

NAFEMS Publication R0024, The International Association for the Engineering Analysis Community, “A Review of Benchmark Problems for Geometric Non-linear Behavior of 3-D Beams and Shells (SUMMARY), 1993”.