The influence of temperature on nonlinear vibration of laminated composite beams covered by FGM layers embedded on nonlinear viscoelastic foundation subjected to moving load

This investigation highlights nonlinear vibration of fiber reinforced composite laminated beams coated by functionally graded materials (FG-FRCL) resting on viscoelastic nonlinear foundation under concentrated moving load and temperature rising by von Ka<acute accent>rma<acute accent>n nonlinearity. In solution of nonlinear dynamic problem, Galerkin method with three term approximation is implemented with using multiple time scales method to study three- to- one internal resonance. To this aim, frequency response equation of system in three-to-one internal resonance are obtained. Influences of stacking sequence, power index of the FG materials, and nonlinear parameters of foundation, temperature rising, excitation amplitude on frequency response curves of the system in three-to-one internal resonance is studied.