VM-WB-MECH-046

VM-WB-MECH-046
Pinched Cylinder

Overview

Reference:

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

Takemoto, H., & Cook, R. D. (1973). Some Modifications of an Isoparametric Shell Element. International Journal for Numerical Methods in Engineering, 7(3).

Solver(s): Ansys Mechanical
Analysis Type(s): Static Structural Analysis
Element Type(s): Shell

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

Figure 58: Schematic

Schematic
Schematic

Material PropertiesGeometric PropertiesLoading
Es = 10.5e6 psi
ν s = 0.3125
= 10.35 in
r = 4.953 in
t = 0.094 in
F = 100 lbf (Y direction)

Analysis

Due to symmetrical boundary and loading conditions, one-eighth model is used and one-fourth of the load is applied.

Results Comparison

ResultsTargetMechanicalError (%)
Deflection (in)-0.1139-0.1138-0.088