A Step-by-Step Integration Scheme Utilizing the Cardinal B-Splines

Takumi Inoue, Atsuo Sueoka

研究成果: Contribution to journalArticle査読

抄録

The authors present a new step-by-step integration scheme by utilizing the cardinal B–splines. The new method organizes conventional implicit methods such as Newmark-β method and Wilson-θ method and so on, and provides a simple computation procedure so that the step-by-step integration can be carried out efficiently. In addition, when we analyze a nonlinear system with discontinuity the computational accuracy can be improved by the approximate detection of the points of discontinuity by making good use of the two-scale relation. In this paper, we formulate an algorithm of a time historical response analysis of a straight-line beam structure as an elementary example of multi-degree of freedom system besides a simple single degree of freedom system. The cardinal B-splines used here are only the ones of orders 3 and 4 but the other cardinal B-splines are also available for the step-by-step integration in the same way.

本文言語英語
ページ(範囲)1074-1081
ページ数8
ジャーナルNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
66
644
DOI
出版ステータス出版済み - 2000

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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