Large Displacement Dynamic Response of a Cantilever Beam

Description

Investigate large displacements of a cantilever beam shown in the figure below. The cantilever beam has a length of 10" and a square cross section of side 1".

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Nonlinear_Dynamic_1.SLDPRT and open the file.

Study Type

Nonlinear dynamic.

Mesh Type

Shell mesh.

Shell Parameters

Shell thickness = 1.00" - Thick shell formulation.

Solution End Time

0.01

Solution Time Increment

8 x 10^-5

Meshing Options

High, Standard.

Meshing Parameters

Use 0.20 in Global Size.

Material Model

Linear elastic isotropic.

Material Properties

Modulus of elasticity = 12000 psi, Poisson's ratio = 0.2, Density = 386.4 x 10^-6 lb/in³.

Restraints and Loads

A fixed restraint is applied to one end of the cantilever. Translation in the normal direction and all rotations are set to zero on the side face of the cantilever.

A vertical load of magnitude -14.25 lb is applied suddenly (as shown in the figure) to the top and bottom edges.

Horizontal axis is Time (sec) and vertical axis is Force (lb).

Results

The tip vertical displacement is shown below.

Horizontal axis is Time (sec) and vertical axis is UY Y Displacement (in).

Reference

Bathe K.J., Ozdemir H., Wilson E.L., "Static and Dynamic Geometric and Material Nonlinear Analysis", Report No. UC SESM 74-4, Structural Engineering Laboratory, University of California Berkeley, California, February 1974.