Abstract
In this paper, the reproducing kernel particle method (RKPM) is innovatively extended to the elastodynamic analysis of functionally graded material (FGM). The elastodynamics governing equations of FGM are solved by using the RKPM. The penalty factor method is used to solve the displacement boundary conditions, and the Newmark-[Formula: see text] method is used to discretize the time. The influence of the penalty factor and the scaling parameter is discussed, and the stability and convergence of the RKPM are analyzed. Finally, the correctness of meshless RKPM to solve the elastodynamics of FGM is verified by numerical examples of the functionally graded beams and plates.
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