Free bending vibration analysis of thin bidirectionally exponentially graded orthotropic rectangular plates resting on two-parameter elastic foundations

Abstract

The vibration of biderctionally exponentially graded orthotropic plates (BEGOPs) resting on the two-parameter elastic foundation is studied. Pasternak elastic foundation (PEF) model is used as two-parameter foundation model. The heterogeneity of the orthotropic exponentially changes depending on the axial and thickness coordinates. The motion equation is derived based on the classical plate theory and solved by using Galerkin method. To validate of current results was made a comparison with the previous studies. The effects of material gradient and orthotropy, and the two-parameter elastic foundations on the dimensional frequency parameters (DFPs) are investigated.