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| Spline precise time-integration of structural dynamic analysis |
| Received:August 28, 2007 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20093017 |
| KeyWord:structural dynamics precise time-integration spline function |
| Author | Institution |
| 富明慧 |
中山大学 应用力学与工程系,广州 |
| 廖子菊 |
中山大学 应用力学与工程系,广州 |
| 刘祚秋 |
中山大学 应用力学与工程系,广州 |
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| Abstract: |
| The precise time-integration method proposed for linear steady dynamic system can give numerical results approaching the exact solution at the integration points. However, it is more or less difficult when the algorithm is used to the non-homogeneous dynamic systems. The spline precise time-integration method which is based on precise integration and spline function fitting is proposed in this paper. Firstly, the non-homogeneous term is fitted via a set of cubic B-spline functions. The graphs of B-spline functions are exactly the same in shape and only the starting point is different. A highy efficient numerical method for calculating the particular solution to the dynamic system is put forward. With this method, simply solve a dynamic equation of which the non-homogeneous term is a standard B-spline function, then by using the superpose principle, the particular solution is obtained. Together with the general solution which is calculated by the time-integration precise method, the solution satisfying the initial conditions is obtained. This new method avoids the inverse matrix calculations as the particular solution is calculated by numerical quadrature, therefore is valid in general cases. Numerical examples are given to demonstrate the validity and efficiency of the algorithm. |
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