Perturbation Transfer Matrix Method for Eigendata of One-Dimensional Structural System With Parameter Uncertainties

LIU Bao-guo; YIN Xue-gang; JIAN Kai-lin; WU Yong

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(7): 708-714

LIU Bao-guo, YIN Xue-gang, JIAN Kai-lin, WU Yong. Perturbation Transfer Matrix Method for Eigendata of One-Dimensional Structural System With Parameter Uncertainties[J]. Applied Mathematics and Mechanics, 2003, 24(7): 708-714.

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Perturbation Transfer Matrix Method for Eigendata of One-Dimensional Structural System With Parameter Uncertainties

1.
Department of Mechanical and Electronic Enginering, 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 Date: 2002-02-04
Rev Recd Date: 2003-02-20
Publish Date: 2003-07-15

Abstract

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 pre sented.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.
- eigendata,
- perturbation,
- transfer matrix,
- sensitivity derivative

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References(9)

References

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