カーディナルＢスプラインを利用した逐次積分法

• 井上 卓見

• 末岡 淳男

書誌事項

タイトル別名

• A Step-by-Step Integration Scheme Utilizing the Cardinal B-Splines.
• カーディナル Bスプライン オ リヨウ シタ チクジ セキブンホウ

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 acuuracy 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 step-by-step integration in the same way.

収録刊行物

• 日本機械学会論文集Ｃ編

  日本機械学会論文集Ｃ編 66 (644), 1074-1081, 2000

  一般社団法人 日本機械学会

キーワード

• Computer Aided Analysis
• Transient Response
• Nonlinear Vibration
• Cardinal B-Splines
• Step-by-Step Time Integration
• Discontinuous Functions

詳細情報

• CRID: 1390001206327451392
• NII論文ID: 110002383027
• NII論文ID: 130004233594
• NII書誌ID: AN00187463
• DOI: 10.1299/kikaic.66.1074
• ISSN: 18848354
• ISSN: 03875024
• NDL書誌ID: 5361957
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I5361957
• Web Site: http://www.jstage.jst.go.jp/article/kikaic1979/66/644/66_644_1074/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可