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
図 1. FE Model with Boundary Conditions and Loadcases

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 = -5m 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

265.81 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

Model Files

必要なモデルファイルのダウンロードについては、モデルファイルへのアクセスを参照してください。

The model files used in this problem include:
  • fv52_HOE.fem
  • fv52_LOE.fem

Reference

NAFEMS R0015 - Selected benchmarks for natural frequency analysis