A new hybrid conjugate gradient method for dynamic force reconstruction

Author:

Wang Linjun12ORCID,Xu Liu1,Xie Youxiang3,Du Yixian1,Han Xiao4

Affiliation:

1. Hubei Key Laboratory of Hydroelectric Machinery Design and Maintenance, College of Mechanical and Power Engineering, China Three Gorges University, Yichang, People’s Republic of China

2. School of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, Brisbane, QLD, Australia

3. College of Science Technology, China Three Gorges University, Yichang, People’s Republic of China

4. Department of Engineering Mechanics, International Research Centre for Computational Mechanics, Dalian University of Technology, Dalian, People’s Republic of China

Abstract

A new hybrid conjugate gradient method is proposed in this article based on the gradient operator and applied to the structural dynamic load identification problem. It has proved that the present method with the strong Wolfe line search possesses sufficient descent property. In addition, the present method is globally convergent when the parameter in the strong Wolfe line search conditions is restricted in some suitable intervals. Three example problems from engineering are solved by the newly developed conjugate gradient method to demonstrate the robustness and effectiveness of conjugate gradient method in solving multi-source dynamic load identification problems. Compared with the traditional Landweber iteration regularization method (Landweber), the proposed conjugate gradient method can more stably and effectively overcome the influences of noise, largely reduce the number of iterations, and provide accurate results in identifying multi-source dynamic force in practical engineering structure.

Funder

national natural science foundation of china

Hubei Chenguang Talented Youth Development Foundation

the Open Fund of Hubei key Laboratory of Hydroelectric Machinery Design and Maintenance

Publisher

SAGE Publications

Subject

Mechanical Engineering

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