An improved precise integration method for nonlinear dynamic system |
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| Authors: | Zhang Suying Deng Zichen |
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| Affiliation: | a Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, PR China;b State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, PR China |
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| Abstract: | In the present paper, based on the precise integration method established in linear dynamic system, an improved precise integration method is presented for nonlinear dynamic system. Firstly, the nonlinear dynamic system is converted into an augmented Lie type dynamic system. Then the precise integration method is improved for solving the above augmented equation and preserving its group structure in the meantime. Finally, two numerical examples are presented to demonstrate the validity and effectiveness of the proposed method. |
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| Keywords: | Precise integration Nonlinear dynamic system Augmented dynamic system |
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