The dynamic response of coupling thermo mechanical of sandwich graphene-reinforced Titanium-based composite beams with soft Porous core (PE open cell foam) under two moving constant loads on the thermal environment under elastic medium

Dynamic analysis of sandwich beams is very important in industrial applications, so in this article, the dynamic response of this type of structure is investigated. In this type of structure, functionally graded (FG) reinforcement layers are usually used to improve the mechanical properties of the structure, which is important according to the desired work performance. Therefore, in this paper, the dynamic response of graphene reinforced titanium-based composite (GRTC) sandwich beam with a soft porous core (PE open cell foam) on a Winkler-Pasternak substrate in a thermal environment has been used. The equations are derived using higher-order hyperbolic shear deformation theory in both axial and transverse directions. In the following, using the Laplace method, the problem is solved accurately under two moving loads, which has not been done with this method. The advantages of this method are the simplicity of solving and reducing to zero the error percentage that exists in numerical solutions. The results are compared with previous works and finally, the effect of various parameters such as temperature, porosity coefficient, elastic constant, thickness ratio and velocity of moving load on the dynamic response of the sandwich beam is investigated. It should be noted that the results can be used in the construction of this type of structure.