Vibrational behavior of temperature-dependent imperfect functionally graded plate lying on an elastic substrate
Ali Seyfi, M.M. Aghdam
Abstract
In this study, vibrational behavior of temperature-dependent imperfect functionally graded (IFG) plate lying on an elastic substrate in the thermal environment is investigated. The imperfection effect is considered based upon refined high-order shear deformable plate theory. Thermo-mechanical properties of functionally graded material (FGM) plate are presumed to vary through the thickness direction. A novel porosity model is implemented to examine imperfection effect. In order to present the interaction between the IFG plate and elastic substrate, the elastic substrate is modeled as Winkler–Pasternak two parameter models. Various types of temperature rise, including sinusoidal temperature rise (STR), linear (LTR) and uniform temperature rise (UTR) are considered. In order to derive equations of motion for IFG plates, the principle of Hamilton is used. Next, the resulted governing equations are solved for simply supported IFG plate utilizing Galerkin method. The effects of various parameters including porosity coefficient, different types of temperature rise, gradient index, length to thickness ratio, aspect ratio, various boundary conditions, and elastic substrate coefficient on the variation of dimensionless frequency of IFG are covered and presented within the framework of a group of figures, which can be observed in detail.