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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 801-807.

• 论文 • 上一篇    下一篇

PERTURBATION TRANSFER MATRIX METHOD FOR EIGENDATA OF ONE-DIMENSIONAL STRUCTURAL SYSTEM WITH PARAMETER UNCERTAINTIES

刘保国1,2, 殷学纲2, 蹇开林2, 吴永2   

  1. 1. Department of Mechanical and Electronic Engineering, Zhengzhou Institute of Technology, Zhengzhou 450052, P.R.China;
    2. Department of Mechanics, Institute of Resource and Environmental Sciences, Chongqing University, Chongqing 400044, P.R.China
  • 收稿日期:2002-02-04 修回日期:2003-02-20 出版日期:2003-07-18 发布日期:2003-07-18
  • 通讯作者: ZHANG Ru-qing,Original Member of Editorial Committee,AMM
  • 基金资助:
    the Technical Development Foundation Commission of Machinery Industry of China (97JA0111)

PERTURBATION TRANSFER MATRIX METHOD FOR EIGENDATA OF ONE-DIMENSIONAL STRUCTURAL SYSTEM WITH PARAMETER UNCERTAINTIES

LIU Bao-guo1,2, YIN Xue-gang2, JIAN Kai-lin2, WU Yong 2   

  1. 1. Department of Mechanical and Electronic Engineering, Zhengzhou Institute of Technology, Zhengzhou 450052, P.R.China;
    2. Department of Mechanics, Institute of Resource and Environmental Sciences, Chongqing University, Chongqing 400044, P.R.China
  • Received:2002-02-04 Revised:2003-02-20 Online:2003-07-18 Published:2003-07-18
  • Supported by:
    the Technical Development Foundation Commission of Machinery Industry of China (97JA0111)

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摘要： A general method based on Riccati transfer matrix is presented to calculate the 2nd order perturbations of eigendatas for one-dimensional structural system with parameter uncertainties. The method is applicable to both real and complex eigendatas of any one-dimensional structural system. The formulas for calculating the sensitivity derivatives of eigendatas based on this method are also presented. The method is applied to the perturbation analysis for the eigendatas of a rotor with gyroscopic moment, and the differences between the perturbation results and the accurate calculating results are small.

Abstract: A general method based on Riccati transfer matrix is presented to calculate the 2nd order perturbations of eigendatas for one-dimensional structural system with parameter uncertainties. The method is applicable to both real and complex eigendatas of any one-dimensional structural system. The formulas for calculating the sensitivity derivatives of eigendatas based on this method are also presented. The method is applied to the perturbation analysis for the eigendatas of a rotor with gyroscopic moment, and the differences between the perturbation results and the accurate calculating results are small.

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