Study on high performance averaging method for a strongly nonlinear system (1st report, in case that the Jacobian elliptic cosine function is used as a generating solution)

Takahiro Kondou, Tadashi Okabe, Hiroshi Sekiya

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

The averaging method improved by using the Jacobian elliptic function is developed in order to obtain a highly accurate periodic solution for a strongly nonlinear system. The Jacobian elliptic cosine function (so-called cn function) is used as a generating solution for the harmonically excited Duffing-type equation with hardening spring and damping. The stability for approximate solution obtained by the present method is also discussed. By comparing with the very accurate numerical solutions obtained by applying the shooting method, it is confirmed that the present method gives more accurate solution than that obtained by the traditional averaging method using the trigonometric function. In addition, not only the fundamental amplitude but also the higher harmonic amplitudes of the solution obtained by the present method are in good agreement with those obtained by the shooting method.

本文言語英語
ページ(範囲)1371-1378
ページ数8
ジャーナルNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
68
5
DOI
出版ステータス出版済み - 5 2002

All Science Journal Classification (ASJC) codes

  • 材料力学
  • 機械工学
  • 産業および生産工学

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