A Numerical Investigation into the Crack Effects on the Natural Frequencies of the Plates

In the current study, the effects of some parameters such as length, position and angle of the cracks on the free vibrations of a plate are examined with the aid of the finite element method. while the crack was assumed to be internal and through, its growth was ignored. the crack was modeled as a discontinuity in the plate model. the results show that the thickness and mechanical properties of the plate do not affect the ratio of natural frequency of the cracked plate to the natural frequency of its corresponding intact plate. however, other crack parameters influence on the stiffness and natural frequencies of a plate through affecting its modal shapes and stress intensity factors.