Description
A simply supported isotropic square plate of side 40" and thickness 1" is subjected to in-plane uniform pressure p on two opposite sides. Find the buckling load and investigate the post buckling behavior.
File Name
Browse to drive
letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS
version\samples\Simulation
Examples\Verification\Nonlinear_Static_8.SLDPRT and open the
file.
Shell Parameters
Shell thickness = 1 in - thick shell formulation.
Meshing Parameters
Use a Global Size of 2.5 in.
Material Model
Linear elastic isotropic.
Material Properties
Modulus of elasticity = 3 X 104 psi, Poisson's ratio = 0.3.
Modeling Hints
Due to double symmetry, only a quarter of the plate is modeled. The post buckling behavior is studied by applying a transverse force (Fe) at the center of the plate.
Restraints and Loads
The transverse force and the in-plane pressure are applied as shown in the figures below. In-plane rotations are set to zero and symmetry restraints are applied.
Results
| |
Theory |
SOLIDWORKS Simulation |
| Buckling Load (lb/in) |
67.78 |
65.54 |
The figure below depicts the in-plane pressure versus the central
deflection. The post buckling behavior matches the analytical solution.
The above graph was not generated directly in SOLIDWORKS
Simulation. Results have been processed to generate the graph externally.
Reference
Timoshenko, S., and Woinosky-Krieger, "Theory of Shells and Plates," McGraw-Hill Book Co., 2nd Ed., pp. 389.