1992年3月
CHAOTIC DYNAMICS OF A QUASI-PERIODICALLY FORCED BEAM
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
- 巻
- 59
- 号
- 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
- ID情報
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- ISSN : 0021-8936
- Web of Science ID : WOS:A1992HP72000024