カーディナルＢスプラインを利用した逐次積分法

INOUE Takumi, SUEOKA Atsuo

doi:10.1299/kikaic.66.1074

カーディナルＢスプラインを利用した逐次積分法

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INOUE Takumi

Department of Intelligent Machinery and Systems, Faculty of Engineering, Kyushu University
SUEOKA Atsuo

Department of Intelligent Machinery and Systems, Faculty of Engineering, Kyushu University

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
Step by Step Integration Scheme Utilizing the Cardinal B splines

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説明

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 discontinuous points 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.

収録刊行物

JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing

JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing 45 (2), 433-441, 2002

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