Energy Method for Approximate Periodic Solution of Strongly Nonlinear Nonautonomous Systems |
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| Authors: | Li Li |
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| Affiliation: | (1) Basic Science Department, Beijing Polytechnic University, Beijing, 100022, P.R. China |
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| Abstract: | In this paper, based upon the concept of the conservation of average energy, a theorem for the periodic solution of strongly nonlinear nonautonomous systems is proved. By using this theorem not only the necessary and sufficient conditions for the existence and stability of the periodic solutions can be obtained but, at the same time, the approximate expressions for those periodic solutions can also be obtained. |
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| Keywords: | energy method periodic solution nonlinear vibration nonautonomous system |
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