A power series method is presented for the computation of normal modes and frequencies of an elastic beam resting on a non-linear foundation. The equation of motion is first discretized by using the Galerkin procedure. The time-dependent generalized co-ordinates are obtained by transforming the time
A NEW APPROACH FOR OBTAINING NORMAL FORMS OF NON-LINEAR SYSTEMS
β Scribed by W.Y. Zhang; K. Huseyin; Y.S. Chen
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 246 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
In this paper, a modified approach for obtaining normal forms of non-linear dynamical systems is described. This approach provides a number of significant advantages over the existing normal form theory, and improves the associated calculations. A brief discussion concerning the application of the new approach to high-dimensional systems is also presented. To illustrate the new approach, three examples are presented.
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