New symmetry preserving method for optimal correction of damping and stiffness matrices using measured modes

  • Authors:

  • Jiao-fen Li;Xi-yan Hu;Lei Zhang

  • Affiliations:

  • School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, People's Republic of China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People's Republic of China;College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, People's Republic of China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2010

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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.