Abstract

New procedure and assumption are demonstrated and presented in this study to carry out nonlinear dynamic response of advanced sandwich beams with initial deformation due to temperature rise under the action of multiple moving masses. The advanced sandwich beams are made of functionally graded graphene platelet reinforced composites at their faces and functionally graded triply periodic minimal surface materials at their core layer in order to enhance structural performance in terms of strength and lightweight properties. The modified formulations are also provided to estimate material properties of such advanced composites in each layer. Moreover, to demonstrate how the beams behave in an extremely hot environment, temperature rises beyond their critical buckling temperature are investigated under the assumptions of a uniform temperature distribution and temperature-independent material properties. The equations of motion equations for such a problem including the significant effects of mass inertia components of the beam and masses moving along the beam’s span are established within the framework of an improved third order shear deformation theory with nonlinear strain component of von Kármán, and they can be solved numerically using a newly developed procedure. A notable remark from this study is that when the straight beams is bent by temperature rise before the action of moving masses is initiated, the configuration of the beams becomes slightly curved beams possessing larger flexural stiffness component. Consequently, the beams under multiple moving masses in high temperature environment have lesser dynamic response than that of the beams in ambient environment.