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带斜拉索的索结构的特征频率分析
引用本文:W·鲍尔森,G·施奈通,吴承平.带斜拉索的索结构的特征频率分析[J].应用数学和力学,2006,27(1):35-46.
作者姓名:W·鲍尔森  G·施奈通  吴承平
作者单位:阿肯色州立大学,计算机科学和数学系,阿肯色,72467,美国
摘    要:计算了带斜拉索的索结构在面内振动的近似特征频率,该索结构的不同位置还带有质点.发现经典传递矩阵法已不足以解决此问题,因此采用较大的外矩阵来确定特征频率方程.然后在对外矩阵渐近估计的基础上,确定一般索结构的动力学性能.

关 键 词:特征频率  传递矩阵  外矩阵  索结构
文章编号:1000-0887(2006)01-0035-12
收稿时间:2004-11-24
修稿时间:2005-09-06

Eigenfrequency Analysis of Cable Structures With Inclined Cables
William Paulsen,Greg Slayton.Eigenfrequency Analysis of Cable Structures With Inclined Cables[J].Applied Mathematics and Mechanics,2006,27(1):35-46.
Authors:William Paulsen  Greg Slayton
Abstract:The approximate eigenfrequencies for the in-plane vibrations of a cable structure of inclined cables, together with point masses at various points were computed. It was discovered that the classical transfer matrix method was inadequate for this task, and hence the larger exterior rnatrices to determine the eigenfequency equation were used. Then predictions of the dynamics of the general cable structure based on the asymptotic estimates of the exterior marries were made.
Keywords:eigenfrequency  transfer matrice  exterior matrice  cable structure
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