期刊文献+

半定奇异系统的降阶精细积分算法

A Reduced-Order High Precise Direct Integration Algorithm for Semidefinitely Singular System
下载PDF
导出
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. A large number of the mathematical models singular system. In light of the system and according of dynamics can be summed up as semidefinitely 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.
出处 《东华大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第6期761-765,770,共6页 Journal of Donghua University(Natural Science)
基金 国家自然科学基金项目(50376039) 教育部科学技术研究重点项目(03068)
关键词 半正定矩阵 精细算法(HPD) 齐次扩容 positive semidefinite matrix high precise direct (HPD) homogeneous dilatancy
  • 相关文献

参考文献7

二级参考文献16

  • 1钟万勰,林家浩.陀螺系统与反对称矩阵辛本征解的计算[J].计算结构力学及其应用,1993,10(3):237-253. 被引量:13
  • 2钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136. 被引量:510
  • 3钟万勰.暂态历程的精细计算方法[J].计算结构力学及其应用,1995,12(1):1-6. 被引量:174
  • 4LIN J H, SHEN W P, WILLIAMS F W. A high precise direct integration scheme for structures subjected to transient dynamic loading[J]. Comput and Struct, 1995,56(2):113-120.
  • 5Richards J A.Analysis of periodically time—varying systems[M].New York:Springer—Verlag,1983.
  • 6Saadat M A,Chen Tongwen. Representations of 1inear periodically time-varying and multirate systems[J].IEEE Transactions on Signal Processing,2002,50(9):2221—2229.
  • 7Zhang Cishen,Zhang Jingxin.Performance of periodically time—varying controllers for sampled data control[J].IEEE Transactions on Automatic Control,1999,44(8):1607—1611.
  • 8阿诺尔德VI.沈家骐 周宝熙 卢亭鹤 译.常微分方程[M].北京:科学出版社,2001.206-216.
  • 9Hasan N A.Perturbation methods [M].New York:Wiley,1973.
  • 10朱因远 周纪卿.非线性振动和运动稳定性[M].西安:西安交通大学出版社,1995.163-197.

共引文献260

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部