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Energy Method for Computing Periodic Solutions of Strongly Nonlinear Autonomous Systems with Multi-Degree-of-Freedom
Authors:Li  Li  Hongling  Ye
Institution:(1) Department of Mechanics, School of Mechanical Engineering and Applied Electronic Technology, Beijing Polytechnic University, Beijing, 100022, P.R. China
Abstract:In this paper with the use of conservation of average energy, a newmethod for computing the periodic solutions of strongly nonlinearautonomous systems with multi-degree-of-freedom is suggested. Thismethod cannot only decide the existence, but also give the approximateexpressions of the periodic solutions.
Keywords:strongly nonlinear system  multiple degrees of freedom  periodic solution  energy method
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