摘要
基于机械化数学_吴文俊消去法 ,分别采用短轴承油膜力模型和Muszynska转子力学模型 ,对转子轴承系统中的动力学行为与稳定性进行了分析研究· 具体分析时 ,采用吴文俊特征列概念和基于Maple软件的符号计算平台 ,对短轴承涡动参数进行了解析分析 ,以及试算构造出了Lia punov函数 ,并给出了转子系统运动稳定性条件·
Based on the mechanized mathematics and WU Wen_tsun elimination method, using oil film forces of short bearing model and Muszynska's dynamic model, the dynamical behavior of rotor_bearing system and its stability of motion are investigated. As example, the concept of Wu characteristic set and Maple software, whirl parameters of short_bearing model, which is usually solved by the numerical method, are analyzed. At tha same time, stability of zero solution of Jeffcott rotor whirl equation and stability of self_excited vibration are studied. The conditions of stable motion are obtained by using theory of nonlinear vibration.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第9期929-935,共7页
Applied Mathematics and Mechanics
基金
国家重点基础研究规划项目 (G19980 2 0 317)
国家自然科学基金资助重大项目 (19990 5 10 )
哈尔滨工业大学跨学科交叉性研究基金资助项目 (HIT .MD2 0 0 0 .0 5 )
关键词
吴文俊消去法
特征列集
运动稳定性
转子-轴承系统
涡动
Wentsun elimination method
characteristic set
stability of motion
rotor_bearing system
whirl
