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Mathematical Problems in Engineering
Volume 2016, Article ID 5803457, 8 pages
http://dx.doi.org/10.1155/2016/5803457
Research Article

Complex Variable Meshless Manifold Method for Elastic Dynamic Problems

1College of Mechanical and Electrical Engineering, Shandong Management University, Jinan 250357, China
2School of Mechanical and Automotive Engineering, Qilu University of Technology, Jinan 250353, China

Received 7 January 2016; Accepted 28 February 2016

Academic Editor: Elena Benvenuti

Copyright © 2016 Hongfen Gao and Gaofeng Wei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Combining the finite covering technical and complex variable moving least square, the complex variable meshless manifold method can handle the discontinuous problem effectively. In this paper, the complex variable meshless method is applied to solve the problem of elastic dynamics, the complex variable meshless manifold method for dynamics is established, and the corresponding formula is derived. The numerical example shows that the numerical solutions are in good agreement with the analytical solution. The CVMMM for elastic dynamics and the discrete forms are correct and feasible. Compared with the traditional meshless manifold method, the CVMMM has higher accuracy in the same distribution of nodes.