The application of the asymptotic method to a clas of strongly nonlinear systems |
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Authors: | Xie Liu-hui |
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Institution: | Changsha Railway Institute, Changsha |
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Abstract: | In this paper, according to the form of the asymptotic solution of papers 1, 2], the asymptotic method is extended to the following a class of more general strong nonlinear vibration systems where g and f are the nonlinear analytical-functions of x and x, and ε>0 is a small parameter. We assume that the derivative system corresponding to ε=0 has periodic solution. The recurrence equations of the asymptotic solution for the system(0.1)are deduced in this paper, and they are applied to practical examples. |
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Keywords: | strongly nonlinear system generalized conservative system asymptotic solution |
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