A Step-by-Step Integration Scheme Utilizing the Cardinal B-splines
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- INOUE Takumi
- Department of Intelligent Machinery and Systems, Faculty of Engineering, Kyushu University
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- SUEOKA Atsuo
- Department of Intelligent Machinery and Systems, Faculty of Engineering, Kyushu University
Bibliographic Information
- Other Title
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- Step by Step Integration Scheme Utilizing the Cardinal B splines
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Abstract
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.
Journal
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- JSME International Journal Series C
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JSME International Journal Series C 45 (2), 433-441, 2002
The Japan Society of Mechanical Engineers
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Details 詳細情報について
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- CRID
- 1390001204679207936
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- NII Article ID
- 110004225630
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- NII Book ID
- AA11179487
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- ISSN
- 1347538X
- 13447653
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- NDL BIB ID
- 6189825
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed