A quadratic inverse eigenvalue problem in damped structural model updating

Xiaobin Mao; Hua Dai

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A quadratic inverse eigenvalue problem in damped structural model updating

机译：阻尼结构模型更新中的二次特征值逆问题

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摘要

A quadratic inverse eigenvalue problem arising from damped structural model updating is presented in this paper. The existence of solution to the problem is analyzed. A new model updating method for damped structural systems is proposed. The new approach can update directly the damped model using the spatially incomplete modes without using model reduction or eigenvector expansion techniques. Numerical examples show that the proposed method is efficient.

机译：提出了由阻尼结构模型更新引起的二次特征值逆问题。分析了该问题的解决方案的存在。提出了一种阻尼结构系统模型更新的新方法。新方法可以使用空间不完整模式直接更新阻尼模型，而无需使用模型缩减或特征向量展开技术。数值算例表明，该方法是有效的。

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来源
《Applied Mathematical Modelling》 |2016年第14期|6412-6423|共12页
作者
Xiaobin Mao; Hua Dai;
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作者单位

Information Systems Engineering Key Laboratory, The 28th Research Institute of China Electronics Technology Group Corporation, Nanjing 210007, China;

Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Inverse eigenvalue problem; Incomplete eigenvector; Damped structural system; Model updating;

机译：特征值反问题特征向量不完整;阻尼结构系统;模型更新;

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专利

1. An Inverse Quadratic Eigenvalue Problem for Damped Structural Systems [J] . YongxinYuan Mathematical Problems in Engineering: Theory, Methods and Applications . 2008,第2期

机译：阻尼结构系统的二次特征值逆问题
2. Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems [J] . Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang Journal of applied mathematics . 2014,第Pta1期

机译：阻尼陀螺二阶系统二次特征值逆问题的解
3. Quadratic inverse eigenvalue problem for damped gyroscopic systems [J] . Jiang Qian, Mingsong Cheng Journal of Computational and Applied Mathematics . 2014,第Null期

机译：阻尼陀螺系统的二次特征值逆问题
4. The updating of mechanical models with repeated eigenvalues by the inverse sensitivity method [C] . L. Pesek International Seminar on Modal Analysis . 1996

机译：通过反向灵敏度法更新重复特征值的机械模型
5. Quadratic inverse eigenvalue problems: Theory, methods, and applications. [D] . Sokolov, Vadim Olegovich. 2008

机译：二次特征值逆问题：理论，方法和应用。
6. SEMI-DEFINITE PROGRAMMING TECHNIQUES FOR STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEMS [O] . MATTHEW M. LIN, BO DONG, MOODY T. CHU -1

机译：结构化二次逆特征值问题的半确定编程技术
7. An Inverse Quadratic Eigenvalue Problem for Damped Structural Systems [O] . Yongxin Yuan 2008

机译：阻尼结构系统的反二次特征值问题
8. Direct Measurement of Damping Coefficients Using an Inverse Eigenvalue Method [R] . Austin, S. A., Hull, A. J., Kasper, K. D., 1992

机译：用逆特征值法直接测量阻尼系数

A quadratic inverse eigenvalue problem in damped structural model updating

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