基于Newmark法两端支座松动拉杆转子动力学分析  

Dynamic analysis on the rod-fastening rotor system with pedestal looseness based on the Newmark method

作　　者：黑棣[1,2] 郑美茹 孙珂琪[1] HEI Di;ZHENG Mei-ru;SUN Ke-qi(Department of Mechanical and Electrical Engineering,Shaanxi Railway Institute,Weinan 714000;Sada Traffic Energy Saving Technology Co.,Ltd.,Sanmenxia 472000)

机构地区：[1]陕西铁路工程职业技术学院机电系,陕西渭南714000 [2]三门峡速达交通节能科技股份有限公司,河南三门峡472000

出　　处：《机械设计》2021年第1期115-126,共12页Journal of Machine Design

基　　金：陕西省自然科学基金资助项目(2019JQ-928);陕西省渭南市科研计划项目(2018-ZDYF-JCYJ-60,2016KYJ-1-2)。

摘　　要：建立了具有两端轴承基座松动故障的拉杆转子模型(松动轴承基座质量称为松动质量块,松动轴承基座与地面连接的刚度称为松动刚度),并推导了其运动微分方程。基于分离变量法和Sturm-Liouville理论得到了有限长滑动轴承油膜力近似解析解,运用Newmark法分析了该转子系统的非线性动力学行为。首先,将无故障转子、一侧轴承基座松动和两侧轴承基座松动转子系统动力学进行比较,结果显示存在松动故障的转子具有更加复杂的动力学行为,而且存在松动故障的转子振幅比无故障转子的振幅大。其次,对两端轴承基座松动情况进行了分析,结果表明转子系统存在着周期、周期三、周期五、周期六、周期七、准周期和混沌等运动形式。同时发现,随着转子转速升高,松动质量块的振动幅度也随之增大。当两端松动质量和松动刚度不同时,松动质量较大或者松动刚度较小的一侧,转子的振幅和松动质量块的振幅较大,随着两侧松动质量和松动刚度差值的增加,两侧转子的振幅和松动质量块的振幅的差值也随之增加。In this article,the model of the rod-fastening rotor is set up with looseness fault of the two sides of bearing pedestals(the mass of the loose bearing pedestal is called looseness mass,and the stiffness through which the loose bearing pedestal is connected to the ground is called looseness stiffness)taken into consideration,and the motion equations of the rotor system are deduced.The finite long slide bearing is taken as the rotor’s supporting part,and the oil-film force of the bearing is calculated by approximately solving the Reynolds equation with the help of the variables separation method and the Sturm-Liouville theory.The Newmark method is adopted to analyze the dynamic response of the rotor system.Firstly,the comparison is conducted among the three cases of the rotor with no fault,one side of the bearing pedestal looseness and two sides of the bearing pedestal looseness.The results reveal that the dynamic behavior of the rotor with bearing pedestal looseness are more complex than that of the rotor without looseness,and the amplitude of the rotor with bearing pedestal looseness is larger than that of the rotor without looseness.Then,the dynamic analysis is carried out on the rotor with bearing pedestal looseness.The results show that the dynamic behavior of the rotor is complicated,such as periodicity,period-3,period-5,period-6,period-7,quasi-period and chaos and so on.Meanwhile,the amplitude of looseness mass increases with the rotor’s ever-growing speed.When there is difference in looseness mass and looseness stiffness at both ends,the larger the looseness mass or the smaller the looseness stiffness,the larger the rotor’s amplitude and loose mass.As the difference in looseness mass and looseness stiffness on both ends increases,the difference in the amplitude of the rotor and the amplitude of looseness mass on both sides also becomes more obvious.

关 键 词：拉杆转子 基座松动 有限长滑动轴承 NEWMARK法 稳定性 

分 类 号：TH133.3[机械工程—机械制造及自动化]