| 半定奇异系统的降阶精细积分算法 |
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| 引用本文： | 宋效林,周钢,刘晓梅. 半定奇异系统的降阶精细积分算法[J]. 东华大学学报(自然科学版), 2008, 34(6) |
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| 作者姓名： | 宋效林 周钢 刘晓梅 |
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| 作者单位： | 1. 上海交通大学,数学系,上海,200240
2. 上海交通大学,机械与动力工程学院,上海,200240 |
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| 基金项目： | 国家自然科学基金项目 ， 教育部科学技术研究重点项目 |
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| 摘 要： | 大量动力学问题的数学模型都可以归结为半定奇异系统.针对这一系统,根据结构力学的观点,处理冗余项,建立了降阶直接精细算法,并进行相应的理论分析.数值算例表明,此算法十分有效、可行;计算量也比直接精细算法大大减少;数值结果令人满意.
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| 关 键 词： | 半正定矩阵 精细算法(HPD) 齐次扩容 |
A Reduced-Order High Precise Direct Integration Algorithm for Semidefinitely Singular System |
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| SONG Xiao-lin,ZHOU Gang,LIU Xiao-mei. A Reduced-Order High Precise Direct Integration Algorithm for Semidefinitely Singular System[J]. Journal of Donghua University, 2008, 34(6) |
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| Authors: | SONG Xiao-lin ZHOU Gang LIU Xiao-mei |
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| Abstract: | A large number of the mathematical models of dynamics can be summed up as semidefinitely singular system. In light of the system and according to the views of structural mechanics, redundant items were handled, reduced-order high precise direct integration algorithm and corresponding theoretical analysis were established. The numerical examples show that the algorithm is effective and feasible. Much more computation can be reduced than direct precise algorithm and the numerical result are satisfactory. |
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| Keywords: | positive semidefinite matrix high precise direct (HPD) homogeneous dilatancy |
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