Element-Free Method And Its Application In Dynamics Problems

Meshless method is a newly arisen kind of numerical method. Compare with Finite Element Method (FEM), it can eliminate or partly eliminate the bond lead by element mesh during the process of analyzing. For which it shows the advantage in dealing with issues such as high-speed impact, large deformation, dynamic crack growth, etc. Problems likes above usually come about in dynamics area so that it seems obviously adapted to make analysis of dynamics by using meshless method.This paper firstly makes a summarization in meshless method and process system and influencing factors of Element-Free Galerkin Method (EFG) are analyzed and discussed based on the meshless method theories; And then from the same way,meshless-form function and its solving processes of vibration problem are derived; At last this paper makes application of meshless method into another important area of dynamics-contact impact problems, and detailedly introduces the analyzing process of contact impact problems by using meshless method. Furthermore a new thoughts is given that it is a good way to combine the meshless and FE methods to solving large-scale ship collision problems.In this paper, some examples containing statics, vibration, and contact impact problems are analyzed by the EFG program. The analysis results sufficiently proof both reliability of the method and correctness of the program. So it is completely feasible to make use of meshless method in analysis of vibration and contact impact problems and the prospect is broad.