摘要
为研究转子系统在不平衡-不对中耦合故障作用下的动力学特征,建立了转子-滚动轴承耦合系统动力学模型.其中,考虑齿式联轴器平行不对中问题,且刚性转盘的质心和形心不同心.通过Lagrange方法推导出系统的动力学方程,并采用数值分析的方式分别分析了联轴器不对中程度、不同的联轴器参与振动的质量大小以及不同的支承条件等对转子系统动力学特性的影响规律.计算结果表明:由于不对中故障的存在,当转子系统运行的转速达到临界转速二分之一时,转盘的横向振动位移明显增大,即不对中量会使系统在二分之一临界转速处产生一个不稳定区域;当采用滚动轴承支承时,随着不对中程度的加剧,上述不稳定区域内转子的最大振幅所对应的转速逐渐增大,而采用线性支承时,尚未出现此类现象;随着联轴器参与不对中故障的质量的增加,系统的振动越来越剧烈.
In order to study the dynamic characteristics of the rotor system under unbalanced-misalignment,a dynamic model of the rotor-roller bearing coupling system was established.Consider the parallel misalignment of the gear coupling,and the center of mass and centroid of the rigid turntable are not concentric.Using the Lagrange method,we deduced the dynamic equations of the system.Moreover,numerical analysis is used to analyze the influence of the different misalignment of the coupling,the quality of the different couplings participating in the vibration and the different supporting conditions on the dynamic characteristics of the rotor system.The calculation results show that due to the misalignment,when the rotational speed of the rotor system reaches one-half of the critical speed,the lateral vibration displacement of the disk increases significantly.That is,the misalignment will make the system at one-half critical speed.Produce an unstable area.When the rolling bearing is used,as the degree of misalignment increases,the rotational speed corresponding to the maximum amplitude of the rotor in the unstable region gradually increases,and when linear support is used,such a phenomenon has not occurred.As the quality of the coupling participates in the vibration,the vibration of the system at one-half of the critical speed becomes more and more severely.
作者
伍小莉
杨洋
葛玉梅
杨翊仁
曹登庆
Wu Xiaoli;Yang Yang;Ge Yumei;Yang Yiren;Cao Dengqing(College of Mechanics and Engineering,Southwest Jiaotong University,Chengdu 610031,China;School of Astronautics,Harbin Institute of Technology,Harbin 150001,China)
出处
《动力学与控制学报》
2019年第6期553-559,共7页
Journal of Dynamics and Control
基金
国家自然科学基金(11702228)
中央高校基本科研业务费专项资金(2682017CX087)~~