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.
| Original language | English |
|---|---|
| Pages (from-to) | 433-441 |
| Number of pages | 9 |
| Journal | JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing |
| Volume | 45 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Aug 31 2002 |
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All Science Journal Classification (ASJC) codes
- Industrial and Manufacturing Engineering
- Mechanical Engineering
Cite this
A step-by-step integration scheme utilizing the cardinal B-splines. / Inoue, Takumi; Sueoka, Atsuo.
In: JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing, Vol. 45, No. 2, 31.08.2002, p. 433-441.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A step-by-step integration scheme utilizing the cardinal B-splines
AU - Inoue, Takumi
AU - Sueoka, Atsuo
PY - 2002/8/31
Y1 - 2002/8/31
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0036045494&partnerID=8YFLogxK
U2 - 10.1299/jsmec.45.433
DO - 10.1299/jsmec.45.433
M3 - Article
AN - SCOPUS:0036045494
VL - 45
SP - 433
EP - 441
JO - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
JF - JSME International Journal, Series C: Mechanical Systems, Machine Elements and Manufacturing
SN - 1344-7653
IS - 2
ER -