碰摩故障下高维转子系统降维方法研究  

Research on Dimension Reduction Methods of High Dimension Nonlinear Rotor System Under Rub-Impact Fault

作　　者：刘民杰[1] 马梁[1,2] 王俊[1,2] 张俊红[1,2] LIU Min-jie MA Liang WANG Jun(Tianjin University Renal College, Tianjin 301636, China State Key Laboratory of Engine, Tianjin University, Tianjin 300072, China)

机构地区：[1]天津大学仁爱学院,天津301636 [2]天津大学内燃机燃烧学国家重点实验室,天津300072

出　　处：《机械设计与制造》2017年第7期5-8,共4页Machinery Design & Manufacture

基　　金：国家自然科学基金委员会与中国民用航空局联合资助项目(U1233201);高等学校博士学科点专项科研基金(20130032130005)

摘　　要：碰摩故障下的转子系统为高维非线性系统,为提高数值模拟的效率,减少仿真精度损失,对比标准Galerkin法(SGM)、非线性Galerkin法(NGM)和特征正交分解法(POD)对碰摩故障下的高维转子-滚动轴承系统降维的适应性。利用Runge-Kutta方法对原系统模型和降维模型在典型工况ω=1500rad/s时进行数值仿真,对比分析轴心轨迹图。结果表明:在较大碰摩间隙下,SGM、NGM以及POD法均能有效应用于系统的降维,但NGM和POD优于SGM法;在较小碰摩间隙下,非线性碰摩力增大,SGM与NGM降维方法失效,而POD法依然有效,其在处理碰摩故障下高维转子系统的强非线性问题时要优于SGM和NGM。利用POD法对碰摩故障下的高维转子系统进行降维处理,在保证仿真精度的同时能提高数值模拟的效率。Rotor system under rub-impact fault is a high dimensional and nonlinear system, in order to improve the efficiency and decrease the accuracy lost of numerical simulation process, the adaption of dimension reduction methods of standard Galerkin （SGM）, nonlinear Gaterkin （NGM）, and proper orthagonaldecomposition （POD） were compared .By using of Runge-Kutta methd, the dynamics models of original system and dimension reduced system were simulated when theω= 1500rad/s, and the axis center contrail charts in differet rub-impact degree were got and compared. The results show that： Under the condition of large rub-impact gap, the methods ofSGM, NGM, and POD can solve the nonlincar problems caused by rub-impact; With the rub-impact gap decreasing, the nonlinear caused by rub-impact was enhanced, SGM and NGM were invalid. Comparing to SGM and NGM, the method of POD has advantages in solving strong nonlinear problems caused by rub-impact fanlt in rotor system. the numerical simulation of rotor system under rub-impact fault, the method POD can ensure the accuracy and improve the simulation efficiency.

关 键 词：碰摩故障 转子 降维方法 标准Galerkin法 非线性Galerkin法 POD法 

分 类 号：TH16[机械工程—机械制造及自动化] TH133.3