OS-V: 0455 Simply-Supported Solid Square Plate

Test No. FV52 A well-established solid square plate, which contains three rigid modes with the given boundary condition. The test examines the performance of OptiStruct Normal Modes Analysis on 3D solid elements.


fv52
Figure 1. FE Model with Boundary Conditions and Loadcases

Model Files

Before you begin, copy the file(s) used in this problem to your working directory.

Benchmark Model

The HEXA 8-node and HEXA 20-node solid elements are used in test FV52. An 8x8x3 mesh configuration is used for HEXA 8-node elements, and a 4x4x1 mesh configuration is used with HEXA 20-node elements. The z-directional displacement is constrained at Z = -5 m plane along the four edges of the plate.

The material properties are:
Property
Value
E
200 x 109 N/m2
υ
0.3
ρ
8000 kg/m3

Modal Analysis Results

The frequency of each targeted mode is normalized with the closed form solution.
f*
Closed form solution.
Mode 4 Modes 5 and 6 Mode 7
fv52a_high fv52b_high fv52c_high
f*

HEXA20

HEXA8

 45.897 Hz

0.9760

0.9874

 f*

HEXA20

HEXA8

 109.44 Hz

1.0101

1.0413

 f*

HEXA20

HEXA8

 167.89 Hz

1.0072

1.0322
Mode 8 Modes 9 and 10
fv52d_high fv52e_high
f*

HEXA20

HEXA8

 193.59 Hz

1.0017

1.0164

 f*

HEXA20

HEXA8

 206.19 Hz

1.0022

1.0164

Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis