| Inverse Eigenvalue Problem in Structural Dynamics Design |
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| 引用本文： | Huiqing Xie Hua Dai. Inverse Eigenvalue Problem in Structural Dynamics Design[J]. 高等学校计算数学学报(英文版), 2006, 15(2): 97-106 |
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| 作者姓名： | Huiqing Xie Hua Dai |
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| 作者单位： | Huiqing Xie1，and Hua Dai2 1 Department of Mathematics，East China University of Science and Technology，Shanghai 200237，China. 2 Department of Mathematics，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China. |
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| 基金项目： | This research is partially supported by the National Natural Science Foundation of China (No. 10271055). |
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| 摘 要： | 1 Introduction Structural dynamics design is to design a structure subject to the dynamic characteristics re- quirement, i.e., determine physical and geometrical parameters such that the structure has the given frequencies and (or) mode shapes. This problem often arises in engineering connected with vibration. Recently, Joseph [1], Li et al. [2,3] converted the structural dynamics design to the following inverse eigenvalue problem. GIEP Let x = (x1, , xm)T , and let A(x) and B(x) be real n…
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| 关 键 词： | 特征值 逆问题 数值方法 结构设计 动力学 |
| 收稿时间： | 2003-08-28 |
Inverse Eigenvalue Problem in Structural Dynamics Design |
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| Huiqing Xie,Hua Dai. Inverse Eigenvalue Problem in Structural Dynamics Design[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 2006, 15(2): 97-106 |
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| Authors: | Huiqing Xie Hua Dai |
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| Abstract: | A kind of inverse eigenvalue problem in structural dynamics design is considered. The problem is formulated as an optimization problem. The properties of this problem are analyzed, and the existence of the optimum solution is proved. The directional derivative of the objective function is obtained and a necessary condition for a point to be a local minimum point is given. Then a numerical algorithm for solving the problem is presented and a plane-truss problem is discussed to show the applications of the theories and the algorithm. |
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| Keywords: | Eigenvalue inverse problem numerical method structural design dynamics. |
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