✦ LIBER ✦

ON THE NORMAL FORMS OF CERTAIN PARAMETRICALLY EXCITED SYSTEMS

✍ Scribed by W.Y. ZHANG; K. HUSEYIN; M. YE

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 211 KB
Volume: 255
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.4187

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✦ Synopsis

In this paper, a modi"ed normal form approach for obtaining normal forms of parametrically excited systems is presented. This approach provides a number of signi"cant advantages over the existing normal form approaches, and improves the associated calculations. The approach lends itself more readily to symbolic calculations, like MAPLE, and the calculations of normal forms, together with the associated coe$cients, are carried out much more conveniently. Four examples are presented to illustrate the approach. All examples include a comparison of the results obtained by the methods of normal forms and averaging. Example 4 contains a comparison of the results obtained by the normal form approach and Liapunov}Schmidt method as well.

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