Title
New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes
Abstract
Measured and analytical data are unlikely to be equal due to measured noise, model inadequacies, structural damage, etc. It is necessary to update the physical parameters of analytical models for proper simulation and design studies. Starting from simulated measured modal data such as natural frequencies and their corresponding mode shapes, a new computationally efficient and symmetry preserving method and associated theories are presented in this paper to update the physical parameters of damping and stiffness matrices simultaneously for analytical modeling. A conjecture which is proposed in [Y.X. Yuan, H. Dai, A generalized inverse eigenvalue problem in structural dynamic model updating, J. Comput. Appl. Math. 226 (2009) 42-49] is solved. Two numerical examples are presented to show the efficiency and reliability of the proposed method. It is more important that, some numerical stability analysis on the model updating problem is given combining with numerical experiments.
Year
DOI
Venue
2010
10.1016/j.cam.2010.02.038
J. Computational Applied Mathematics
Keywords
DocType
Volume
physical parameter,analytical data,analytical model,optimal correction,new symmetry,numerical stability analysis,stiffness matrix,numerical experiment,model inadequacy,simulated measured modal data,analytical modeling,numerical example,measured noise
Journal
234
Issue
ISSN
Citations 
5
0377-0427
4
PageRank 
References 
Authors
0.53
6
3
Name
Order
Citations
PageRank
Jiao-fen Li1254.86
Xiyan Hu212125.32
Lei Zhang3688.33