Volume 29 Issue 5
May  2003
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Qiu Zhiping, Wang Xiaojun, Ma Yiet al. Interval Perturbation Method for Computing Regions Containing Complex Natural Frequencies of Structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(5): 406-409. (in Chinese)
Citation: Qiu Zhiping, Wang Xiaojun, Ma Yiet al. Interval Perturbation Method for Computing Regions Containing Complex Natural Frequencies of Structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 2003, 29(5): 406-409. (in Chinese)

Interval Perturbation Method for Computing Regions Containing Complex Natural Frequencies of Structures

  • Received Date: 26 Feb 2002
  • Publish Date: 31 May 2003
  • By interval mathematics, the problem on regions contain ing complex eigenvalues for structures with errors or uncertain but bounded para meters was studied. These parameters were described by interval numbers. The non -proportional damping structural eigenvalue problem with errors or uncertain bu t bounded parameters can be transformed into the generalized eigenvalue problem of interval matrice s, and the complex eigenvalues are regions containing natural frequencies of str uctures with errors or uncertain but bounded parameters. For small errors or unc ertain but bounded parameters, the interval perturbation method was presented fo r computing complex interval eigenvalues of the generalized interval eigenvalue p roblem, and the required regions containing natural frequencies of structures ma y be obtained.

     

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