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| Predictor-corrector symplectic time-subdomain algorithm for nonlinear dynamic equations |
| Received:October 15, 2012 Revised:December 04, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201404007 |
| KeyWord:nonlinear dynamic equations symplectic time-subdomain method improved Euler’s method variational principle predictor-corrector |
| Author | Institution |
| 李纬华 |
中山大学 工学院, 广州 |
| 王堉 |
中山大学 工学院, 广州 |
| 罗恩 |
中山大学 工学院, 广州 |
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| Abstract: |
| A predictor-corrector symplectic time-subdomain algorithm for nonlinear dynamic equations is presented in this paper.Firstly, nonlinear dynamic equations are transformed into state space equations.Taking advantage of improved Euler's method, state variable values at discrete moment are predicted and corrected in any time-subdomain.And then, the discrete nonlinear terms are expanded by using Lagrange interpolation polynomial and treated as load.As a result, a new symplectic time-subdomain algorithm can be used to calculate dynamic response, which is a unified computational and easy programming method with no need for inverse matrix and higher derivative.The results of numerical examples show that the method is an effective algorithm with highly computational accuracy, efficiency and stability for solving nonlinear dynamic equations. |