The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems

Xie Liu-hui

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Xie Liu-hui. The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1993, 14(9): 823-828.

Citation:

Xie Liu-hui. The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1993, 14(9): 823-828.

Citation:

Xie Liu-hui. The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems[J]. Applied Mathematics and Mechanics, 1993, 14(9): 823-828.

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The Application of the Asymptotic Method to a Class of Strongly Nonlinear Systems

Xie Liu-hui

Changsha Railway Institute, Changsha

Received Date: 1992-02-08
Publish Date: 1993-09-15

Abstract

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 , 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.
- strongly nonlinear system,
- generalized conservative system,
- asymptotic solution

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References(9)

References

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