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用Lanczos算法进行周期结构固有特性分析的研究

The Analysis of Eigenvalue Problem of Periodic Structures by Lanczos Method
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摘要 In the FEM dynamic analysis of large flexible space structure (LFSS), thesolution of frequencies and corresponding models is actually a general eigenvalueand eigenvector problem. In this article, Lanczos method was applied to thistype of problem. In numerical examples, the convergency, accuracy-time relationand multi-root problem of Lanczos method for beam structure were analyzed.Considering the characteristic of the stiffness matrix of beam structure, the authoralso present some ideas to improve Lanczos method by iteration method. In the FEM dynamic analysis of large flexible space structure (LFSS), thesolution of frequencies and corresponding models is actually a general eigenvalueand eigenvector problem. In this article, Lanczos method was applied to thistype of problem. In numerical examples, the convergency, accuracy-time relationand multi-root problem of Lanczos method for beam structure were analyzed.Considering the characteristic of the stiffness matrix of beam structure, the authoralso present some ideas to improve Lanczos method by iteration method.
作者 王翔
出处 《数值计算与计算机应用》 CSCD 北大核心 2000年第2期143-154,共12页 Journal on Numerical Methods and Computer Applications
关键词 周期结构 固有特性 LANCZOS算法 工程力学 Lanczos method, Large flexible space structure (LFSS), Dynamic analysis
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参考文献8

  • 1蔡大用,高等数值分析(讲义),1995年
  • 2李庆扬,现代数值分析,1995年
  • 3侯之超,博士学位论文,1995年
  • 4任革学,博士学位论文,1993年
  • 5清华大学数学系现代应用数学手册,现代应用数学手册.计算方法分册,1990年
  • 6王勖成,有限单元法基本原理与数值方法,1988年
  • 7石钟慈(译),代数特征值问题,1987年
  • 8清华大学工程力学系固体力学教研,机械振动.上,1978年

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