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非自伴随振动系统的模态参数识别问题
引用本文:洪钟瑜,郑万泔.非自伴随振动系统的模态参数识别问题[J].振动工程学报,1989(2).
作者姓名:洪钟瑜  郑万泔
作者单位:上海机械学院 (洪钟瑜),南京汽轮电机厂(郑万泔)
基金项目:上海市自然科学基金资助项目
摘    要:本文研究了n个自由度的质量、刚度、阻尼矩阵都不对称的所谓非自伴随振动系统的特征问题,讨论了它与自伴随系统的差别,应用它与伴随系统的双正交性,状态向量方程仍能去耦简化为2n 个单自由度方程,在此基础上求得了在任意激振力下系统的瞬态响应,导出了传递函数的表达式,并研究了该系统的模态试验和模态参数识别方法,指出其试验和计算工作量与自伴随系统一样,但是只能应用传递函数矩阵的某一列元素的试验数据。

关 键 词:模态  参数识别  非自伴随振动系统

The Modal Parameters Identification of a Non-Self-Adjoint Vibration System
Hong Zhongyu.The Modal Parameters Identification of a Non-Self-Adjoint Vibration System[J].Journal of Vibration Engineering,1989(2).
Authors:Hong Zhongyu
Affiliation:Hong Zhongyu (Shanghai Institute of Mech.Engineering) Zheng Wangan (Nanjing Gas Turbine Institute)
Abstract:In this paper,the characteristics of a system of n degrees of freedom withunsymmetrical mass,damping and stiffness matrices,i.e,a so called non-self-adjoint system,are studied.The difference between this system and a self-adjointone is discussed.Using the dual-orthogonal quality between this system andits adjoint one,the state vector equation can still be decoupled.Based onthis study the transient response and transfer function under arbitrary excita-tion and the calculating modal parameters is discussed-as well.1t showsthat the testing and calculating works is the same as that in the self-adjointsystem,but it can use only one column testing data of the transfer functionmatrix rather than one row or one column for the self-adjoint system.
Keywords:modal  parameters identification  non-self-adjoint vibration system
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