VM6

VM6
Pinched Cylinder

Overview

Reference:

R. D. Cook, Concepts and Applications of Finite Element Analysis, 2nd Edition, John Wiley and Sons, Inc., New York, NY, 1981, pp. 284-287.

H. Takemoto, R. D. Cook, "Some Modifications of an Isoparametric Shell Element", International Journal for Numerical Methods in Engineering, Vol. 7 No. 3, 1973.

Analysis Type(s):

Static Analysis (ANTYPE = 0)

Element Type(s):

4-Node Finite Strain Shell Elements (SHELL181)

8-Node Finite Strain Shell Elements (SHELL281)

Input Listing:

vm6.dat

Test Case

A thin-walled cylinder is pinched by a force F at the middle of the cylinder length. Determine the radial displacement δ at the point where F is applied. The ends of the cylinder are free edges.

Figure 8: Pinched Cylinder Problem Sketch

Material Properties

Geometric Properties

E = 10.5 x 10⁶ psi

υ = 0.3125

= 10.35 in

r = 4.953 in

t = 0.094 in

F = 100 lb

Analysis Assumptions and Modeling Notes

A one-eighth symmetry model is used. One-fourth of the load is applied due to symmetry.

Results Comparison

	Target[1]	Mechanical APDL	Ratio
Deflection, in SHELL181	0.1139	0.1100	0.965
Deflection, in SHELL281	0.1139	0.1127	0.990

H. Takemoto, R. D. Cook, "Some Modifications of an Isoparametric Shell Element".