HIGHER APPROXIMATE SOLUTIONS OF THE DUFFING EQUATION (PRIMARY RESONANCE IN THE SOFT SPRING SYSTEM).

Hideyuki Tamura, Takahiro Kondou, Atsuo Sueoka, Noboru Ueda

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

The Duffing system with soft spring is analyzed by using a new algorithm which computes nonlinear steady-state oscillations and their stability with high speed and accuracy, based on the lines of the harmonic balance method. Detailed results of the frequency response of the primary resonance, up to the 9th harmonics, are presented. The following are demonstrated: a new unstable region, an isolated branch, the bifurcation of the non-odd order solutions, subharmonic oscillations (order 1/2 and 1/4), random almost periodic oscillations and superharmonic resonances (order 2 to 7). Some of these are confirmed by numerical simulation.

本文言語英語
ページ(範囲)3075-3082
ページ数8
ジャーナルBulletin of the JSME
29
255
DOI
出版ステータス出版済み - 1986

All Science Journal Classification (ASJC) codes

  • 工学(全般)

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