阻尼振动系统复特征解的摄动分析  

PERTURBATION ANALYSIS OF THE COMPLEX EIGENSOLUTIONS FOR DAMPED VIBRATION SYSTEM

作　　者：孙久厚[1] 朱德懋[1] 

机构地区：[1]南京航空学院振动工程研究所,南京210016

出　　处：《航空学报》1992年第9期A480-A483,共4页Acta Aeronautica et Astronautica Sinica

摘　　要：当振动系统的质量矩阵和刚度矩阵作小修改时,不重复求解大型广义特征问题,在初始的模态坐标变换基础上,用矩阵摄动法给出修改系统的振动频率和振型;然后利用修改系统的振动频率与比例阻尼参数求出修改系统的阻尼比。工程算例表明,这种方法计算简单,具有较高的精度。A perturbation method for analyzing the vibration frequencies, damping ratios and modes of damped vibration system, whose matrices have small changes, is presented in this paper. When the mass and stiffness matrices of the original syatem vary slightly, the eigensolutions can be obtained without solving a large generalized eigenvalue problem again. The vibration frequencies and modes of the updated system can be derived by matrix perturbation method based on the original vibraton mode coordinate transformation. The damping ratios of the updatea system can also be given by using the vibration frequencies of the updated system and proportional damping parameters. The results of the engineering computational examples show that the presented method having simple computational and high accuracy properties is an available perturbation method.

关 键 词：结构动力分析 振动特性 摄动方法 

分 类 号：V214.1[航空宇航科学与技术—航空宇航推进理论与工程]