期刊文献+

一种新的结构矩阵缩聚迭代法 被引量:1

A New Iterative Method for Condensation of Structural Matrices
下载PDF
导出
摘要 为了给有限元模型降阶,使有限元模型的自由度和实验模型的自由度相一致,从修改后的系统的特征方程出发,推导出一个新的反映主副自由度变换关系的计算动力缩聚矩阵的迭代公式.通过数值计算,与已有的动力缩聚迭代公式相比,它的收敛速度更快,而且稳定性好、精度高. In order to reduce the degree of freedom of finite element models to make it consistent with corresponding experimental degree of freedom, based on the modified system eigen-equation, a new iterative dynamic condensation formula, which reflects the transforming relation between system's major and minor degrees of freedom has been deduced. Through numerical calculation and comparison with the existed iterative dynamic condensation formulas, the new formula's convergence rate is quicker with better stability and higher accuracy.
出处 《北京工业大学学报》 CAS CSCD 北大核心 2006年第6期481-484,共4页 Journal of Beijing University of Technology
基金 国家自然科学基金资助项目(10372009) 北京市自然科学基金重点资助项目(3011001).
关键词 动力缩聚 模型降阶 固有频率 自由度 dynamic condensation model reduction natural frequencies degree of freedom
  • 相关文献

参考文献6

二级参考文献10

  • 1张德文.结构动力分析中的逐级近似缩聚法[J].固体力学学报,1994,15(4):360-364. 被引量:14
  • 2张德文.改进Guyan~递推减缩技术[J].计算结构力学及其应用,1996,13(1):90-94. 被引量:13
  • 3殷学纲 雷跃明.复杂结构动力模型修改的摄动有限元法[A]..第四届全国振动理论及应用学术会议论文集[C].,1990.480~487.
  • 4傅志方 施勒忠 盛宗毅 等.模态分析与结构动力修改技术在中国古钟研制中的应用[A]..第五届全国模态分析与.试验学术交流会议论文集[C].,1988.28-36.
  • 5Guyan R J. Reduction of Stiffness and Mass Matrices. AIAA Journal, 1965, 3 (2): 380.
  • 6Zhang D W, Zhang L M. Matrix Transformation Method for Updating Dynamic Model. AIAA Journal, 1992, 30(5), 1440- 1443.
  • 7Zhang L M, He B Q, Yao M B. Sensitivity Analysis Based on Lanczos Approach in Structural Dynamic Math Model Updating. 11^th International Modal Analysis Conference, 1993:350-355.
  • 8Guyan R J. Reduction of stiffness and mass matrices[J]. AIAA Journal,1965,3(2):380.
  • 9O'Callahan J. A procedure for improved reduced system (IRS) model[A]. Dominick J DeMichele. Procof the 7th International Modal Analysis Conference[C]. New York:Union College,1989.17-21.
  • 10瞿祖清,华宏星,傅志方.一种有限元模型坐标动力缩聚技术[J].振动与冲击,1998,17(3):15-18. 被引量:3

共引文献22

同被引文献13

  • 1Guyan R J. Reduction of stiffness and mass matrices[J]. American Institute of Aeronautics and Astronautics Journal, 1965,3(2) :380.
  • 2Irons B M. Structural eigenvalue problems elimination of unwanted variables[J]. American Institute of Aeronautics and Astronautics Journal, 1965, 3(5): 961-962.
  • 3O'Callahan J. A procedure for an improved reduced system (IRS) model[C] // Proceedings of 7th International Modal Analysis Conference. 1989: 17-21.
  • 4Mottershead J E, Friswell M I. Model updating in structural dynamics: a survey[J]. Journal of Sound and Vibration,1993,167 (2) : 347-375.
  • 5Friswell M I, Garvey S D, Penny J E T. Model reduction using dynamic and iterated IRS techniques[J]. Journal of Sound and Vibration, 1995,186(2) :311-323.
  • 6Friswell M I, Garvey S D, Penny J E T. The convergence of the iterated IRS method[J]. Journal of Sound and Vibration, 1998,211(1) : 123-132.
  • 7Xia Y, Lin R M. Improved on the iterated IRS method for structural eigensolutions[J]. Journal of Sound and Vibration,2004,270(4/5) :713-727.
  • 8Qu Z Q, Fu Z F. An iterative method for dynamic condensation of structural matrices[J]. Mechanical Systems and Signal Processing, 2000,14 (4) : 667-678.
  • 9Brandts J. The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action[J]. Linear Algebra and its Applications, 2003,358 (1): 335- 365.
  • 10Freiling G. A survey of nonsymmetric Riccati equations [J].Linear Algebra and its Applications, 2002,351-352 (15) :243-270.

引证文献1

二级引证文献3

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