耦合故障转子系统的降维及动力学特性  

Dimension Reductions and Dynamic Characteristics of Rotor System with Coupling Faults

作　　者：曹树谦[1,2,3] 王俊[1,2,3] 韩研研[1,2,3] 白雪川 

机构地区：[1]天津大学机械工程学院,天津300072 [2]天津市非线性动力学与混沌控制重点实验室,天津300072 [3]天津大学内燃机燃烧学国家重点实验室,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2015年第4期318-327,共10页Journal of Tianjin University：Science and Technology

基　　金：天津市自然科学基金重点资助项目(11JCZDJC25400);天津大学自主创新基金资助项目(2013XZS-0024)

摘　　要：比较非线性Galerkin法和标准Galerkin法在处理滚动轴承和不对中、碰摩故障引起复杂非线性问题时的降维效果,并用非线性Galerkin法进一步分析故障转子系统的动力学特性.考虑花键联轴器不对中啮合力,建立不对中-碰摩耦合故障转子-滚动轴承-花键联轴器系统动力学模型,采用两种Galerkin法对转子系统进行降维,并进行数值仿真,利用分岔图和瀑布图等进行对比分析.结果表明:非线性Galerkin法在处理不对中单一故障及不对中-碰摩耦合故障转子系统所得结果均能与未降维系统较好地吻合,而标准Galerkin法所得结果则存在一定差别甚至出现降维方法失效;应用非线性Galerkin法进一步分析故障转子系统发现,尽管降维使故障转子系统的维数减少,但并未改变故障转子的动力学特性,其故障特征信息仍得到保留.A comparison was made between the nonlinear Galerkin method（NGM）and the standard Galerkin method（SGM）in terms of dimension reduction’s effect in the solution for complex nonlinear problems caused by the rolling bearing,misalignment faults and friction faults. NGM was further applied to the analysis of the dynamic char-acteristics of faulty rotor system. Considering the meshing force of misalignment spline coupling,a dynamic model of rotor-ball bearing-spline coupling system with misalignment rubbing coupling faults was established. Both Galerkin methods were used for dimension reduction of the rotor system and a comparative analysis was also conducted,with the aid of numerical simulation,bifurcation diagram,waterfall diagram,etc. Results show that the dimension re-duction effect by NGM in dealing with misalignment faulty rotor system and misalignment rubbing coupling faulty rotor system is almost the same as the dimension reduction effect of the system before NGM is applied,while SGM results show some discrepancies and even a total failure of dimension reduction effect. Findings from the analysis of a faulty rotor system in the application of NGM indicate that although dimension reduction can decrease the dimension number of a faulty rotor system,it does not change the dynamic characteristics of the faulty rotor system,with its faulty features unaltered.

关 键 词：非线性Galerkin法 标准Galerkin法 不对中啮合力 不对中-碰摩耦合故障 转子系统 花键联轴器 

分 类 号：TH133.3[机械工程—机械制造及自动化]