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 - 2002 |
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Industrial and Manufacturing Engineering