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.
 Citation: 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.

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

• Rev Recd Date: 2003-02-20
• Publish Date: 2003-07-15
• 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.
•  [1] Ibrahim R A.Structural dynamics with parameter uncertainties[J].Applied Mechanics Review,1987,40(3):309-328. [2] 陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999. [3] 藤弘飞,谈新俊,王培杰.转子动力优化设计的逆摄动法[J].机械工程学报,1994,30(1):44-49. [4] 殷学纲,蹇开林.摄动传递矩阵方法及其在结构动特性灵敏度分析中的应用[J].重庆大学学报,1998,11(11):38-47. [5] Aleyaasin M,Ebrahimi M.Hybrid modeling for analysis and identification of rotors[J].Computer Method in Applied Mechanics and Engineering,2001,182(1):163-176. [6] 钟一谔,何衍宗,王正等.转子动力学[M].北京:清华大学出版社,1987. [7] 刘保国,吴永,殷学纲.转子动力学系统的灵敏度分析与结构动力学修改[J].机械强度,2001,23(1):95-97. [8] Murthy V R,LIN Yu-an,O'Hara W Steven.Sensitivity derivatives of eigendata of one-dimensional structural systems[J].J ALAA,2001,38(1):115-122. [9] 林家浩.轴系的动力优化设计[J].机械工程学报,1982,18(1):69-78.

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