Dynamic analysis and wave propagation in rotating heterogeneous cylinders under moving load and thermal conditions; implementing an efficient mesh free method

Abstract

In this paper, dynamic analysis of thick hollow rotating cylinder with finite length made of two-dimensional functionally graded material subjected to a moving mechanical load is investigated. Before applying of any mechanical load, the cylinder is under initial stresses due to initial steady state temperature gradient and rotational velocity. Then a moving mechanical distributed load excites the inner boundary surface of the cylinder. Meshless local Petrov–Galerkin (MLPG) method has been rearranged and implemented in order to discretize the governing equations in the spatial domain. The resulting sets of differential equations are then solved by Newmark time integration scheme in the temporal domain. The time histories of displacements and stresses components as well as 2D stress wave propagation are obtained for various scheme of volume fraction distribution. By implementing the presented meshless technique, the effects of material distribution, moving load, rotational body forces and thermal loading on the dynamic behavior of the FG cylinder have been investigated. The achieved results show that the effects of temperature on the stresses are greater and more important than the internal moving pressure or body force due to rotational speed. The MLPG method introduces itself as a very effective method with high accuracy for stress wave propagation and dynamic analysis of 2D-FGMs.