机械化数学在转子动力学研究中的应用

基金项目: 国家重点基础研究规划项目(G1998020317);国家自然科学基金资助重大项目(19990510);哈尔滨工业大学跨学科交叉性研究基金资助项目(HIT.MD2000.05)

Application of Mechanized Mathematics to Rotor Dynamics

Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R. China

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Liapunov函数,并给出了转子系统运动稳定性条件.
- 吴文俊消去法 /
- 特征列集 /
- 运动稳定性 /
- 转子-轴承系统 /
- 涡动
Abstract: Based on the mechanize d mathematics and WU Wen-tsun elimination method, using oil film forces of short be aring 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 par ameters 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 conditio ns of stable motion are obtained by using theory of nonlinear vibration.
- Wentsun elimination method /
- char acteristic set /
- stability of motio n /
- rotor-bearing system /
- whirl

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