The Existence Stability and Approximate Expressions of Periodic Solutions of Strongly Nonlinear Nonautonomous Systems with Multi-Degree-of-Freedom |
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| Authors: | Li Li Ye Hongling |
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| Affiliation: | (1) Department of Mechanics, School of Mechanical Engineering and Applied Electronic Technology, Beijing, University of Technology, Beijing, 100022, P.R. China |
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| Abstract: | Based upon the conservation of average energy a theorem about the periodic solutions of strongly nonlinear nonautomous systems with multi-degree-of freedom is proved. This theorem can not only decide the existence and stability of the periodic solutions, but at the same time can also give their first-order and second-order approximate expressions. |
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| Keywords: | strongly nonlinear nonautonomous system multiple degrees of freedom periodic solution energy method |
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