Research Article

Vibration Analysis of Plate with Irregular Cracks by Differential Quadrature Finite Element Method

Table 2

Natural frequencies of rectangular plates with several classical boundary conditions and irregular T-shaped, irregular L-shaped, and irregular I-shaped cracks.

TypesMode numbers
123456789

T-shaped
CCCC
4.22956.11426.94909.283410.521313.635017.123618.539219.1972
4.28475.89506.73489.499210.530013.558017.223018.656019.2360

L-shaped
FCFC
0.49451.51812.24443.18473.59574.45505.25706.70957.6263
0.48711.58942.22823.09573.58634.52445.17296.70977.5596

I-shaped
CFFF
0.23920.25191.31571.49691.73012.08603.68114.23995.1381
0.21240.28891.31411.49141.75642.06743.69284.23175.1639

Results from ANSYS.