A NEW METHOD OF CALCULATING THE ASYMPTOTIC SOLUTION OF NONLINEAR VIBRATION SYSTEMS——A SIMPLE METHOD OF CALCULATING THECOEFFICIENTS OF NORMAL FORM

doi:10.6052/0459-1879-1990-4-1995-964

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Chinese Journal of Theoretical and Applied Mechanics > 1990 > 22(4): 413-419. > DOI: 10.6052/0459-1879-1990-4-1995-964 CSTR: 32045.14.0459-1879-1990-4-1995-964

A NEW METHOD OF CALCULATING THE ASYMPTOTIC SOLUTION OF NONLINEAR VIBRATION SYSTEMS——A SIMPLE METHOD OF CALCULATING THECOEFFICIENTS OF NORMAL FORM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(4): 413-419. DOI: 10.6052/0459-1879-1990-4-1995-964

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A NEW METHOD OF CALCULATING THE ASYMPTOTIC SOLUTION OF NONLINEAR VIBRATION SYSTEMS——A SIMPLE METHOD OF CALCULATING THECOEFFICIENTS OF NORMAL FORM

天津大学力学系博士后,300072

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Abstract

Applying nonlinear transformation, the simple method for calculating the coef-ficients of Normal Form by simple algebra has been derived. This method can also be used to solve nonlinear vibration problems. The process are as follows: first, to transform the original (equations to the standard first order differential equations discussed in this paper, then to find the solution of nonlinear vibration equation by simple algebra calculation. This method is easy to learn, and to use.
- hopf bifurcation,
- normal form,
- nonlinear vibration,
- autonomous system

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A NEW METHOD OF CALCULATING THE ASYMPTOTIC SOLUTION OF NONLINEAR VIBRATION SYSTEMS——A SIMPLE METHOD OF CALCULATING THECOEFFICIENTS OF NORMAL FORM

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A NEW METHOD OF CALCULATING THE ASYMPTOTIC SOLUTION OF NONLINEAR VIBRATION SYSTEMS——A SIMPLE METHOD OF CALCULATING THECOEFFICIENTS OF NORMAL FORM

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