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A New Homotopy Perturbation Method for Solving an Ill-Posed Problem of Multi-Source Dynamic Loads Reconstruction

Linjun Wang1, Xu Han2, Youxiang Xie3
College of Mechanical and Material Engineering, China Three Gorges University, Yichang, Hubei 443002, PR China
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Automotive Engi- neering, Hunan University, Changsha City 410082, PR China
College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China

Computer Modeling in Engineering & Sciences 2011, 82(3&4), 179-194. https://doi.org/10.32604/cmes.2011.082.179

Abstract

In this paper, a new homotopy perturbation method (IHPM) is presented and suggested to solve an ill-posed problem of multi-source dynamic loads reconstruction. We propose a stable and reliable modification, and obtain a new regularization method, then employ it to find the exact solution for the multi-source dynamic load identification problem. Also, this present method only needs easy computations rather than successive integrations. Finally, the performances of two numerical examples are given. Comparisons are performed between the original homotopy perturbation method (HPM) and IHPM. The results verify that the present method is very simple and effective.

Keywords

Load identification, Ill-posed problems, Homotopy perturbation method, System of integral equations of the first kind

Cite This Article

Wang, L., Han, X., Xie, Y. (2011). A New Homotopy Perturbation Method for Solving an Ill-Posed Problem of Multi-Source Dynamic Loads Reconstruction. CMES-Computer Modeling in Engineering & Sciences, 82(3&4), 179–194.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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