| 以代数方法探讨结构系统再设计问题 |
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| 引用本文： | 王萬益,廖建義,洪勵吾.以代数方法探讨结构系统再设计问题[J].应用数学和力学,2010,31(2). |
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| 作者姓名： | 王萬益 廖建義 洪勵吾 |
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| 作者单位： | 1. 中央大学,机械工程学系,桃园,中国,台湾
2. 中央大学,桃园,中国,台湾 |
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| 摘 要： | 利用矩阵修改理论探讨结构系统再设计问题,以等惯性转换求解动态劲度矩阵的隐根,并导出将特征值定位的计算方法;继而在隐根为已知下探讨隐向量的特质及解法,并确认修改后结构的振型必须区分成驻留性与非驻留性自然频率等两种状况处理.
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| 关 键 词： | 等惯性转换 隐根 隐向量 对角主元排列 |
Dynamic Analysis of Redesigned Systems Using an Algebraic Method |
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| WANG Wan-yi,LIAO Jen-yi,HOURNG Lih-wu.Dynamic Analysis of Redesigned Systems Using an Algebraic Method[J].Applied Mathematics and Mechanics,2010,31(2). |
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| Authors: | WANG Wan-yi LIAO Jen-yi HOURNG Lih-wu |
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| Institution: | WANG Wan-yi1,LIAO Jen-yi2,HOURNG Lih-wu1(1.Department of Mechanical Engineering,National Central University,Taoyuan,Taiwan,China,2.Chung-Sun Institute of Science , Technology,China) |
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| Abstract: | By matrix modification,the redesign of a structural system was investigated.The inertia congruence transformation was adopted to find the latent roots of a dynamic stiffness matrix,and a method for determining its eigenvalue was proposed.The characteristics of the latent vector for a known latent root,and a method for computing it,were studied.The mode shapes of a redesigned structure must be handled differently based on whether the structure exhibits are persistent or non-persistent natural frequencies. |
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| Keywords: | congruence transformation latent root latent vector diagonal pivoting |
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