摘要
建立了计及机匣弹性、陀螺力矩并考虑轴承回转动力激励的悬臂双盘碰摩转子系统的动力学模型和运动微分方程,根据稳定性理论,由Jacobi矩阵特征值的性质分析了转子系统参数对转子系统解的稳定性的影响,并利用系统的阶跃响应和零极点分布图判别系统运动是否稳定。分析结果表明:轴承回转动力激励和碰摩对系统稳定性产生不利影响;两轴承刚度对稳定性影响基本相同,而两轴承的回转动力激励和两圆盘碰摩对稳定性影响明显不同;机匣连接刚度越小,机匣刚度越大,越有利于系统的稳定;轴承刚度大于临界轴承刚度时,系统存在稳定运动区域,否则系统不存在稳定运动区域。
A dynamic model and differential equation of asymmetric dual-discs overhanging rotor system were establisheel,taking into account the casing elasticity,rotary dynamic excitation of bearings,elastic connection between casing and stator,and gyroscopic effect.Based on the theory of stability,the system stability and the stability regions were studied by investigating the properties of the Jacobi matrix.The effects of different parameters on stability regions of the system were discussed.The step response curves and zero-pole map were utilized for identification of system stability quickly and directly.The results show that rotary dynamic excitation of bearing and rub-impact to against stable operation of the system;The influences of stiffness of the two bearings on stability are basically the same.The influence of the excitation of the two bearings and the rub-impact of the two discs on stability is different obviously.The smaller the elastic connection stiffness between between casing and casing is,and the bigger the elastic connection stiffness between casing and stator is,the better the system stability is.When the bearings stiffness is bigger than the critical stiffness,there appear stability regions in the system;otherwise,there are no such regions.
出处
《振动与冲击》
EI
CSCD
北大核心
2010年第8期52-54,59,共4页
Journal of Vibration and Shock
基金
国家自然科学基金资助重点项目(50535010)
国家高技术研究发展计划项目(2006AA04Z408)
关键词
弹性机匣转子系统
轴承回转动力激励
陀螺力矩
稳定性
rotor system with elastic casing
rotary bearing excitation
gyroscopic moment
stability
critical bearing stiffness
作者简介
袁惠群 男，博士，教授，博士生导师，1954年生
