Natural vibration of imperfect sandwich plates considering the effects of transverse stretching

Abstract

In this article, the natural vibration investigation of a functionally graded material sandwich plate with initial geometrical imperfection of the exponential function is conducted. Two face sheets of the sandwich plate are composited by functionally graded material. Their material coefficients are affected by temperature and vary in the direction of thickness following the power law. The core layer is only the metal. With the aid of Reddy’s displacement fields, a quasi-three-dimensional model is used, in which the effects of transverse stretching on natural vibration are considered. The natural frequencies and model shapes of the system are calculated on the basis of Rayleigh–Ritz method and Chebyshev polynomials. A comparison of these results with those of the existing three-dimensional theory results shows the validity and computability of present method. The influences of various parameters on the natural frequencies are researched in detail.

New HSDT for free vibration analysis of elastically supported porous bidirectional functionally graded sandwich plate using collocation method

“…54 Krupa and Shmatko 55 implemented the R-functions theory to examine buckling and free vibration response of FGM sandwich plates and shallow shells via the Ritz method. Hao et al 56 studied the vibration response of the FGM sandwich plate via Reddy’s displacement fields. Ye et al 57 introduced a new HSDT model for flexure and vibration response of the FGM sandwich plate via the FEM approach.…”