Research Article

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

Table 1

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

TypesMode numbers
123456789

T-shaped
CCCC
4.68095.25126.59638.728910.313014.532717.557717.955319.8488
4.66405.23556.58288.711810.305014.520017.555017.955019.8507

L-shaped
FCFC
0.48421.59962.42103.07503.80144.86705.81656.84367.7874
0.48921.59912.41963.06613.79874.86165.80496.84217.7821

I-shaped
CFFF
0.23820.26751.33731.51381.88482.19123.74634.25765.7725
0.21460.29301.33381.51951.88272.21253.74664.25655.7554

Results from ANSYS.