多参数结构特征二阶灵敏度

陈塑寰; 郭睿; 孟广伟

doi:10.3879/j.issn.1000-0887.2009.12.001

多参数结构特征二阶灵敏度

doi: 10.3879/j.issn.1000-0887.2009.12.001

吉林大学南岭校区力学系,长春 130025;2.吉林大学南岭校区汽车动态模拟国家重点实验室,长春 130025

基金项目: 吉林省科学技术发展基金资助项目(20070541)

详细信息

作者简介:
陈塑寰(1934- ),男,广东兴宁人,教授(E-mail:chensh@jlu.edu.cn);郭睿(1978- ),女,吉林人,讲师,博士(联系人.Tel:+86-431-8505090;E-mail:guo.rui@ascl.jlu.edu.cn).

中图分类号: O327
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出版历程
- 收稿日期: 2009-02-17
- 修回日期: 2009-10-15
- 刊出日期: 2009-12-15

Second-Order Sensitivity of Eigenpairs of Multiple Parameter Structures

College of Mechanical Science and Engineering, Nanling Campus, Jilin University, Changchun 130025, P. R. China;

摘要

摘要: 提出了一种有效计算多参数结构特征值与特征向量二阶灵敏度矩阵——Hessian矩阵的方法．将特征值和特征向量二阶摄动法转变为多参数形式，推导出二阶摄动灵敏度矩阵，由此得到特征值和特征向量的二阶估计式．该法解决了无法用直接求导法计算特征值和特征向量二阶灵敏度矩阵的问题．数值算例说明了该算法的应用和计算精度．
- 多参数结构 /
- 二阶特征灵敏度 /
- 有效计算方法
Abstract: A method for computing the second-order sensitivity matrix of eigenvalues and eigenvectors of the multiple parameter structures,i.e.the Hessian matrix,was presented.The second-order perturbations of eigenvalues and eigenvectors were transformed into the multiple parameter forms, and the second-order perturbation sensitivity matrices of eigenvalues and eigenvectors were developed.Using these formulations,the efficient methods based on the second-order Taylor expansion and second-order perturbation were obtained to estimate the changes of eigenvalues and eigenvectors when design parameters changed.The method avoided direct differential operation thus reducing the difficulty for computing the second-order sensitivity matrices of eigenpairs.A numerical example was given to demonstrate the application and the accuracy of the proposed methods.
- multiple parameter structures /
- second-order sensitivity of eigenpairs /
- efficient computational method

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参考文献(22)

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