一维不定参数结构系统振动特征问题的摄动传递矩阵法

基金项目: 机械工业技术发展基金资助项目(97JA0111)

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

摘要: 基于Riccati传递矩阵法,给出了一维不确定参数结构系统振动特征问题的二阶摄动计算方法,该方法适用于一般的一维结构系统的实数和复数特征问题的分析,并给出了结构振动特征的灵敏度计算公式.算例对转子的陀螺特征值问题进行了摄动分析,摄动结果和精确计算结果吻合良好.
- 振动特征 /
- 摄动 /
- 传递矩阵 /
- 灵敏度
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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