Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (6): 551-560.

• 论文 • 上一篇    下一篇

MATRIX PERTURBATION METHOD FOR THE VIBRATION PROBLEM OF STRUCTURES WITH INTERVAL PARAMETERS

邱志平, 陈塑寰, 刘中生   

  1. The Centre of Computational Mechanics Jilin University of Technology, Changchun
  • 收稿日期:1993-12-03 出版日期:1994-06-18 发布日期:1994-06-18
  • 基金资助:

    Project supported by the National Natural Seience Foundation of China

MATRIX PERTURBATION METHOD FOR THE VIBRATION PROBLEM OF STRUCTURES WITH INTERVAL PARAMETERS

Qiu Zhi-ping, Chen Su-huan, Liu zhong-sheng   

  1. The Centre of Computational Mechanics Jilin University of Technology, Changchun
  • Received:1993-12-03 Online:1994-06-18 Published:1994-06-18
  • Supported by:

    Project supported by the National Natural Seience Foundation of China

摘要: When the parameters of the structures are uncertain, the structural natural frequ-encies become uncertain. In this paper, we deal with the vibration problem of the struc-ture with interval parameters, the eigenvalue problem of the structures with intervalparameters is transferrd into two different eigenvalue problems to be solved. The per-turbation method is applied to the vibration problem of the structures with interval pa-rameters, the numerical results show that lhe proposed method is sufficiently accurateand needs little computational efforts.

关键词: piezoelectric material, image force, interfacial crack, screw dislocation, natural frequency, interval parameter, matrix perturbation

Abstract: When the parameters of the structures are uncertain, the structural natural frequ-encies become uncertain. In this paper, we deal with the vibration problem of the struc-ture with interval parameters, the eigenvalue problem of the structures with intervalparameters is transferrd into two different eigenvalue problems to be solved. The per-turbation method is applied to the vibration problem of the structures with interval pa-rameters, the numerical results show that lhe proposed method is sufficiently accurateand needs little computational efforts.

Key words: piezoelectric material, image force, interfacial crack, screw dislocation, natural frequency, interval parameter, matrix perturbation

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