Effect of crack location on vibration analysis of cracked FGM plate under thermal environment

Abstract

In the present work, the effect of crack location on the fundamental frequency of functionally graded thin rectangular plate is presented under the influence of thermal environment. The proposed new analytical model is developed using Kirchhoff’s classical plate theory and the crack terms are induced using the well known simplified line spring model (LSM). Thermal moments and in-plane compressive forces are considered to incorporate the effect of thermal environment. The solution for governing equation is obtained using Galerkin's method. The fundamental frequency of the FGM plate as affected by crack length, crack location, uniform rise in temperature and gradient index is presented for simply supported boundary condition. It is found that the results obtained for natural frequencies are significantly affected by rise in temperature, crack length and its location.