Nonlinear dynamic response of FGM beams with Winkler-Pasternak foundation subject to noncentral low velocity impact in thermal field

In this paper a nonlinear investigation is presented for noncentral low-velocity impact analysis of functionally graded material beams which are resting on Winkler-Pasternak elastic foundation with simply supported boundary condition. A Reddy's higher order shear deformation beam theory with a von Kármán-type of kinematic nonlinearity is implemented in order to derive the governing equations of the beam. Moreover, the effect of heat conduction is considered and material properties of panels are assumed to be temperature dependent and vary along the thickness according to Voigt model. In addition, by using a modified Hertz's contact law, the influence of material properties of the substrate layers on impact response and a general case of impact with different indenter's axial position is taken into account. The equations of motion are solved via an asymptotic procedure. The effects of elastic foundation, indenter's initial velocity, indenter's axial position, thermal field and geometry are discussed.