Structural Engineering and Mechanics

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The standard deviations for eigenvalues of the closed-loop systems with random parameters

  • Chen, Su Huan (Department of Mechanics, Jilin University, Nanling Campus) ;
  • Liu, Chun (Department of Mechanics, Jilin University, Nanling Campus) ;
  • Chen, Yu Dong (Department of Mechanics, Jilin University, Nanling Campus)
  • Received : 2003.09.18
  • Accepted : 2004.06.16
  • Published : 2004.09.25
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Abstract

The vibration control problem of structures with random parameters is discussed, which is approximated by a deterministic one. A method for calculating the standard deviations of eigenvalues of the closed-loop systems is presented by using the random perturbation. The method presented in this paper will not require the distribution function of the random parameters of the systems other than their means and variances. Similarly, the distribution function of the random eigenvalues will not be computed other than their means and variances. The standard deviations of eigenvalues of the uncertain closed-loop systems can be used to estimate the stability robustness. The present method is applied to a vibration control system to illustrate the application. The numerical results show that the present method is effective.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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Cited by

  1. Interval eigenvalues of closed-loop systems of uncertain structures vol.84, pp.3-4, 2006, https://doi.org/10.1016/j.compstruc.2005.08.004
  2. Interval finite element method for complex eigenvalues of closed-loop systems with uncertain parameters vol.26, pp.2, 2007, https://doi.org/10.12989/sem.2007.26.2.163