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自适应结构频率和阻尼比的计算
引用本文:张连文,夏人伟,曾广武.自适应结构频率和阻尼比的计算[J].应用数学和力学,1999,20(6):647-653.
作者姓名:张连文  夏人伟  曾广武
作者单位:1.华中理工大学交通学院船舶设计室, 武汉 430074;
摘    要:本文给出状态空间法的一种新技巧,用于求解自适应结构的振动频率和阻尼比。当采用集中质量法时,状态矩阵的Cholesky分解具有解析式。从而既可提高计算精度,又可节约计算时间。最后以算例加以说明。

关 键 词:自适应结构    主动元件    状态空间法    频率    阻尼比
收稿时间:1998-07-27
修稿时间:1998-07-27

Computation of Frequencies and Damping Ratios for Adaptive Structures
Zhang Lianwen,Xia Renwei,Zeng Guangwu.Computation of Frequencies and Damping Ratios for Adaptive Structures[J].Applied Mathematics and Mechanics,1999,20(6):647-653.
Authors:Zhang Lianwen  Xia Renwei  Zeng Guangwu
Institution:1.Laboratory of Ship Structure Design, Faculty of Traffic Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P R China;2.Faculty of Space Navigation, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China
Abstract:In this paper, a new technique of state vector approach to solving damping ratios of adaptive structures is proposed, by which the state matrix can be analytically conducted the Cholesky decomposition, providing that the mass matrix is derived by lumped method. In this case, not only the computational accuracy is raised,but also the numerical operations are reduced. Finally,some numerical results are presented to show that the solution method is simple and efficient.
Keywords:adaptive structure  active member  state vector approach  frequency  damping ratio  
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