曹登庆,杨翊仁.单步Newmark预测-校正算法无条件稳定的充分必要条件的论证[J].计算力学学报,1996,13(1): |
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单步Newmark预测-校正算法无条件稳定的充分必要条件的论证 |
On the necessary and sufficient condition for the unconditionally stability of one-step Newmark''''s predictor-corrector algorithm |
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DOI:10.7511/jslx19961015 |
中文关键词: 结构动力学,预测-校正算法/无条件稳定性 |
英文关键词:structural dynamics,predictor-corrector method/unconditionally stability |
基金项目: |
曹登庆 杨翊仁 |
西南交通大学应用力学研究所!成都,610031 |
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中文摘要: |
应用判别差分方程稳定性的Schur-Cohn准则,研究用于一般耦合系统动力响应分析的单步Newmark预测-校正算法的稳定性问题;给出了算法无条件稳定的充分必要条件的严格理论证明。 |
英文摘要: |
This note is concerned with the problem of studying the stability of one-step Newmark's predictor-corrector algorithm which is used in the analysis of dynamical responses of coupled systems. The Schur-Cohn's stability criterion for difference equation is employed to prove the necessary and sufficient condition for the unconditionally stability of the algorithm. |
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