Dynamic Analysis of Laminated Composite Plate Using Non-Polynomial Shear Deformation Theory Under Hygrothermal Environment

摘要

A nine-noded isoparametric finite element formulation based on the non-polynomial shear deformation theory (NPSDT) is presented for the transient analysis of laminated composite plate subjected to hygrothermal environment. In this study, inverse hyperbolic type of non-polynomial shear deformation theory is considered which provides nonlinear distribution of transverse shear stresses, and also satisfy the traction-free boundary conditions at the top and bottom surfaces of the laminates. A generalized thermoelastic stress-strain relation is considered to derive the governing equation using Hamilton's principle. Newmark's direct integration scheme is used to solve the dynamic equation of equilibrium at every time step during the transient analysis. Several numerical examples are considered and the results are compared with those available in the literature. The effect of various parameters on the transient response of laminated composite plate under hygrothermal environment have been investigated. The work reported in this paper provides an efficient modeling approach for thermal vibration analysis of laminated composite plates in practical engineering.