弹性转子—轴承系统的非线性动力学研究  

Analysis of nonlinear dynamics to an elastic rotor—bearing system

作　　者：张新江[1] 武新华[1] 吴小林[2] 

机构地区：[1]哈尔滨工业大学,黑龙江哈尔滨150001 [2]哈尔滨汽轮机有限责任公司,黑龙江哈尔滨150040

出　　处：《煤矿机械》2000年第3期9-11,共3页Coal Mine Machinery

基　　金：国家自然科学基金资助!(重大 )项目编号 :19990 5 10

摘　　要：以转子动力学和非线性动力学理论为基础 ,针对非线性弹性转子—轴承系统的具体特点 ,用打靶法对采用短轴承模型的弹性转子—轴承系统的周期解进行了求解 ,并用数值积分和庞加莱映射方法对其动力学特性随某一参数变化时稳定性的改变进行了分析 ,计算结果表明 ,系统具有发生倍周期分叉及概周期运动的可能。用数值方法得到系统在某些参数域中的分叉图 ,直观显示了系统在某些参数域中的运行状态。In allusion to the characteristics of a nonlinear elastic rotor_bearing system,the shooting is used to the periodic responses of a elastic rotor system using short bearing model.It is based on rotor dynamics and nonlinear dynamics theory with the Poincare maps and numerical integral method,which analyses change of stability to its dynamic peculiarity along with the changing of some parameters in this paper.The result of calculation showed that may undergo the double period bifurcation and quasi periodic motions.In some typical parameter regions the bifurcation diagrams of the system are acquired with numerical integral method.Some motion state of the system are demonstrated.

关 键 词：转子 动力学 轴承系统 稳定性 分叉 弹性转子 

分 类 号：TH133.3[机械工程—机械制造及自动化] TD403[矿业工程—矿山机电]