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A. H. Nayfeh, D.T. Mook (1979)
Nonlinear Oscillations
- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Engineering; Theoretical and Applied Mechanics; Classical and Continuum Physics; Engineering Fluid Dynamics; Computational Intelligence
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/BF02486668
- Publisher site
- See Article on Publisher Site
Abstract
A new approach is presented in this paper on the basis of dynamic systems theory. This paper presents the form of a generic classification of stable response diagrams for the nonlinear Mathieu equation. In addition, a general method is presented for determining the topological type of the response diagram for a given equation. This method has been successfully applied to Euler dynamic buckling problems. Some new results are obtained.
Journal
Acta Mechanica Sinica – Springer Journals
Published: Aug 12, 2006