双平面球式自动平衡装置抑振特性分析  

VIBRATION SUPPRESSION CHARACTERISTICS ANALYSIS OF TWO-PLANE AUTOMATIC BALL BALANCING DEVICE

作　　者：王志 陈海卫 孙震 WANG Zhi;CHEN HaiWei;SUN Zhen(School of Mechanical Engineering,Jiangnan University,Wuxi 214122,China;Jiangsu Key Laboratory of Advanced Food Manufacturing Equipment and Technology,Wuxi 214122,China)

机构地区：[1]江南大学机械工程学院,无锡214122 [2]江苏省食品先进制造装备技术重点实验室,无锡214122

出　　处：《机械强度》2021年第2期255-260,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(51205166)资助。

摘　　要：球式自动平衡装置的相关研究多集中在单个球式自动平衡装置且多为研究其平面运动。分析了一种用于刚性转子动平衡的双平面球式自动平衡装置的抑振特性,建立了带有双偏心圆盘的双平面球式自动平衡装置平衡的数学模型,通过Lagrange方程推导出振动微分方程,运用旋转坐标变换得到其自治系统,通过李雅普诺夫一次近似方法分析其稳定性,然后用Matlab软件进行数值仿真,分析了双平面球式平衡装置在不同转速和不同偏心相位差下的抑振特性以及平衡球运动规律。研究表明双平面球式平衡装置在二阶临界转速之上对平面运动以及空间转动都有显著的抑振作用。The research of ball automatic balancing device mainly focused on single ball automatic balancing device and mostly to study its plane motion.A two-plane ball automatic balancing device for rigid rotors was analyzed.The mathematical models of two-plane automatic ball balancing device for double eccentric disk were established and derived the vibration differential equation by the Lagrange equation,the autonomous system was obtained by rotating coordinate transformation.The stability was analyzed by Lyapunov first approximation theory.Then,the numerical simulation was carried out by Matlab software to analyze the vibration suppression characteristics of two-plane ball automatic balancing device and the movement rule of the balance ball at different rotational speeds and eccentric phases.The research result shows that the two-plane ball balancing device can restrain the plane motion and the space rotation significantly above the second-order critical speed.

关 键 词：双平面 球式自动平衡装置 刚性转子 李雅普诺夫 抑振特性 

分 类 号：TH113.1[机械工程—机械设计及理论]