Large amplitude thermally induced vibrations of temperature dependent annular FGM plates
Publication date: Available online 10 November 2018
Source: Composites Part B: Engineering
Author(s): Mehran Javani, Yaser Kiani, M.R. Eslami
Present research deals with the large amplitude thermally induced vibrations of an annular plate made of functionally graded materials (FGMs). One surface of the plate is subjected to rapid surface heating while the other surface is either thermally insulated or kept at reference temperature. The material properties of the constituents are assumed to be temperature dependent. The rule of mixtures is used to obtain the properties of the graded media. With the aid of the von Kármán kinematic assumptions and first order shear deformation theory, the governing equations of motion and the associated boundary conditions are obtained. With the aid of the generalized differential quadrature (GDQ) method, these equations are transformed into a set of nonlinear algebraic equations which are solved iteratively using the Newton-Raphson method and Newmark time marching scheme. The temperature profile across the plate thickness is also obtained using the iterative Crank-Nicolson and the GDQ methods. Numerical results are devoted to the effects of temperature dependency, plate thickness, power law index, and boundary conditions of the plate on the large amplitude thermally induced vibrations. It is shown that for thin plates thermally induced vibrations take place and the quasi-static response can not be considered as the true response of the plate under thermal shock.