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工程结构特征值问题的加速解法 被引量:2

An Accelerated Solution for Eigenvalue Problem of Engineering Structure
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摘要 求解大型结构动态响应的特征模态时 ,用传统的特征值解法很难完成 ,因此有必要寻求一种加速解法。本文给出了求解大型结构特征值问题的加速子空间迭代法 ,它采用Gram Schmidt正交化过程消除收敛的特征向量 ,使得计算时间大大减少。文中通过实例对此法进行了验证。 In solving the dynamic response of a large-size structure,when a great number of eigenmodes is required to solve,the traditional eigenvalue solutions become usually expensive and impractical,therefore,it is necessary to seek an accelerated solution for such eigenvalue problem.In this paper,an accelerated subspace iteration for large eigenproblems is presented.It eliminates any converged eigenvector from further subspace iteration cycles by using the Gram-Schmidt orthogonalization procedure.The proposed method is verified by an example.Numerical computation results show that the mehod is very efficient and reduces calculation time.
出处 《船舶工程》 CSCD 北大核心 2002年第3期30-32,共3页 Ship Engineering
关键词 工程结构 特征值 加速解法 里茨基向量 子空间迭代法 Eigenpairs Ritz vector Subspace iteration method Accelerated solution
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  • 1康民.直升机硬式操纵系统刚度设计方法[J].直升机技术,2004(1):1-5. 被引量:4
  • 2胡海岩.SEMI ACTIVE VIBRATION CONTROL BASED ON A VIBRATION ABSORBER WITH ADJUSTABLE CLEARANCE[J].Transactions of Nanjing University of Aeronautics and Astronautics,1996,13(2). 被引量:2
  • 3黄明开,倪振华,谢壮宁.大跨圆拱屋盖结构的风致响应分析[J].振动工程学报,2004,17(3):275-279. 被引量:19
  • 4赵猛,张以都,马良文,赵丽丽.装配结构模态仿真与实验对比研究[J].振动与冲击,2005,24(1):28-29. 被引量:29
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