A symmetric generalized inverse eigenvalue problem in structural dynamics model updating

被引：10
|
作者：
Jiang, Jiashang [1 ]
Dai, Hua [2 ]
Yuan, Yongxin [1 ]
机构：
[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Model updating; Undamped structural system; Partially prescribed spectral data; Optimal approximation; DAMAGE IDENTIFICATION; SUBMATRIX CONSTRAINT; MATRIX CORRECTION; INCOMPLETE SET; STIFFNESS; ADJUSTMENT; MASS; EIGENSTRUCTURE; APPROXIMATION; UNCERTAINTY;
D O I：
10.1016/j.laa.2013.04.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Updating an existing but inaccurate structural dynamics model with measured data can be mathematically reduced to the problem of the best approximation to a given matrix pencil in the Frobenius norm under a given spectral constraint and a submatrix pencil constraint. In this paper, a direct method and the associated mathematical theories for solving this problem are proposed. It is shown that the best approximation solution is unique and an explicit expression of the solution is derived. Numerical examples show that the proposed method is quite accurate and efficient. (C) 2013 Elsevier Inc. All rights reserved.
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页码：1350 / 1363
页数：14
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