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| 非对称阻尼系统特征对一阶导数与二阶导数的计算 | |
| 引用本文： | 解惠青,戴华. 非对称阻尼系统特征对一阶导数与二阶导数的计算[J]. 高校应用数学学报(A辑), 2006, 21(4): 465-476 |
| 作者姓名： | 解惠青 戴华 |
| 作者单位： | 华东理工大学,理学院,上海,200237;南京航空航天大学,理学院,江苏,南京,210016 |
| 基金项目： | 华东理工大学科研基金(YK0142106) |
| 摘 要： | 提出了一种计算非对称阻尼系统特征对一阶、二阶导数的方法.该方法利用阻尼系统的特征向量计算特征对的导数,避免了状态空间中特征向量的使用,节省了计算量,且不要求系统所有特征值的互异性.最后以两个非对称阻尼系统进行数值试验,数值结果表明提出的方法是有效的. |
| 关 键 词： | 特征对导数 灵敏度分析 阻尼系统 非对称系统 |
| 文章编号： | 1000-4424（2006）04-0465-12 |
| 收稿时间： | 2005-06-21 |
| 修稿时间： | 2005-06-21 |
Calculation of the first and second order derivatives of eigenpairs of nonsymmetric damped systems |
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| XIE Hui-qing,DAI Hua. Calculation of the first and second order derivatives of eigenpairs of nonsymmetric damped systems[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(4): 465-476 | |
| Authors: | XIE Hui-qing DAI Hua |
| Affiliation: | 1. East China Univ. of Science and Technology,Shanghai 200237 ,China; 2. Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China |
| Abstract: | A method for calculating the first and second order derivatives of eigenpairs of nonsymmetric damped systems is presented.The derivatives are calculated in terms of eigenvectors of damped systems,while the use of state space representation is avoided, hence the cost of computation is greatly reduced.Moreover,traditional restriction of distinctness for all eigenvalues has not been imposed on the system.The efficiency of the presented method is demonstrated through considering two nonsymmetric damped systems. |
| Keywords: | eigenpair derivative sensitivity analysis damped system nonsymmetric system |
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