Nonlinear transient response of sandwich beams with functionally graded porous core under moving load

Abstract

Nonlinear transient response of sandwich beams possessing functionally graded porous core under the action of moving load was examined in this study. With this regard, Reddy's third-order shear deformation theory and the geometrical nonlinearity of von Kármán assumption were utilized to construct the governing equation system. The set of governing equations was solved by the Gram-Schmidt-Ritz method in conjunction with iterative procedures based on the time-integration of Newmark for the convergence in time and geometrical domains. According to the methodology, we received accurately stable results of nonlinear free and forced vibration of the sandwich beams. Several important parameters such as slenderness ratio, layer thickness's ratio, porous coefficient, types of porous distribution, etc. that have a significant impact on nonlinear deflection of the beams were taken into account. Based on numerical experiments, it can be disclosed that the sandwich beams carrying porous distribution in form of functionally graded materials are much better than the beams with uniform porous distribution in terms of strength and stiffness. The porous coefficient also plays an important role in changing the ability of loading resistance.