論文

査読有り
1992年3月

CHAOTIC DYNAMICS OF A QUASI-PERIODICALLY FORCED BEAM

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
  • K YAGASAKI

59
1
開始ページ
161
終了ページ
167
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
ASME-AMER SOC MECHANICAL ENG

A straight beam with fixed ends, forced with two frequencies is considered. By using Galerkin's method, the equation of motion of the beam is reduced to a finite degree-of-freedom system. The resulting equation is transformed into a multi-frequency system and the averaging method is applied. It is shown, by using Melnikov's method, that there exist transverse homoclinic orbits in the averaged system associated with the first-mode equation. This implies that chaotic motions may occur in the single-mode equation. Furthermore, the effect of higher modes and the implications of this result for the full beam motions are described.

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:A1992HP72000024&DestApp=WOS_CPL
ID情報
  • ISSN : 0021-8936
  • Web of Science ID : WOS:A1992HP72000024

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