一种非线性弹性支承转子系统的非线性特性研究  

Research on Nonlinear Characters of Nonlinear Rotor System with Elastic Support

作　　者：顾致平[1] 于渊博[1] 高永刚[1] 武明亮[1] 

机构地区：[1]西安工业大学建筑工程系,西安710032

出　　处：《西安工业大学学报》2009年第4期375-379,共5页Journal of Xi’an Technological University

基　　金：陕西省教育厅自然科学计划基金项目(06JK271)

摘　　要：研究了在飞机水平盘旋下非线性弹性支承转子系统的非线性响应,及其分叉和混沌现象.建立了非线性弹性支承下转子系统的模型和运动微分方程,运用Runge-Kutta法对系统进行仿真计算,对在同一非线性情况下转子和支承响应进行分析比较.数值仿真结果表明:由于非线性因素产生在支承处,非线性出现在一倍和二倍临界转速处,并在临界转速附近会出现较复杂的混沌运动;当转速较高时,多出现倍周期、拟周期、周期运动,同时非线性弹性支承转子系统仍具有自动定心功能.The rotor system of non-linear response, part of the bifurcation and chaotic situation while the aircraft circles over the level of nonlinear elastic support rotor system are studied. The model of a rotor system with non-linear elastic support and the differential equation are obtained. Using Runge- Kutta numerical method,the system is simulated. In the same circumstances, analysis and calculation of non-linear rotor and support are carried cut. The results show：The non-linear factors occur in the area of support, therefore the non-linear of supporting is stronger than that of rotor-bearing system. The stronger non-linear factors occur in the range of one and double critical speed, and in the vicinity of the critical speed more complicated chaotic motion exists. When the system is at the higher speed,multiple periodic,quasi-periodic, periodic motion and the nonlinear rotor system with flexible support still has automatic centering function.

关 键 词：非线性弹性支承 转子系统 分叉 混沌 

分 类 号：V233.1[航空宇航科学与技术—航空宇航推进理论与工程]