摘要
为研究球式自动平衡装置的抑振特性,利用拉格朗日方程和牛顿定律推导出球式自动平衡装置的运动微分方程,建立平面振动模型;采用旋转坐标变换的方法将振动模型转化为自治形式方程,分析自治系统的平衡点;采用数值分岔软件AUTO完成自治系统的分岔分析,指出平衡过程中的霍夫分岔现象,并分析稳定区与不稳定区;最后采用仿真的方法验证分岔结论的正确性。
In order to study the vibration suppression characteristics of the device with an automatic ball balancer,the differential equations of motion of the rotor are derived by Lagrange equation and Newton's law,and the plane vibration model is established.The vibration model is transformed into an autonomous equation by coordinate-rotating transformation,and the equilibrium point of the autonomous system is analyzed.The numerical bifurcation software AUTO is used to complete the bifurcation analysis of the autonomous system.Hopf bifurcation phenomenon is pointed out in the equilibrium process,and the stable and unstable regions are analyzed.Finally,the correctness of the bifurcation conclusion is verified by numerical simulation.
作者
王忠诚
陈海卫
王志
WANG Zhongcheng;CHEN Haiwei;WANG Zhi(School of Mechanical Engineering,Jiangnan University,Wuxi 214122,Jiangsu China;Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology,Wuxi 214122,Jiangsu China)
出处
《噪声与振动控制》
CSCD
2019年第5期57-61,共5页
Noise and Vibration Control
关键词
振动与波
球式自动平衡装置
旋转机械
分岔分析
自治系统
vibration and wave
automatic ball balancer
rotating machinery
bifurcation analysis
autonomous system
