Study on high performance averaging method for systems based on duffing equation with strong nonlinearity (in cases that the Jacobian elliptic sine and delta functions are used)

Tadashi Okabe, Takahiro Kondou, Shinji Hamao

研究成果: ジャーナルへの寄稿学術誌査読

3 被引用数 (Scopus)

抄録

The improved averaging method suggested in our previous report is developed in order to obtain a highly accurate periodic solution for a strongly nonlinear system. In this reports, the Jacobian elliptic sine and delta functions are applied as generating solutions for harmonically excited Duffing-type equations with softening spring and snap through spring, respectively. Two types of stability criterion for approximate solutions obtained by the present method are also discussed. The present method is applied to the systems with some kind of nonlinear spring. 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 and more accurate results for stability of the solution than those obtained by the traditional averaging method using the trigonometric function as a generating solution.

本文言語英語
ページ(範囲)312-319
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
69
2
DOI
出版ステータス出版済み - 2月 2003
外部発表はい

!!!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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