摘要
为了实现转子不停机平衡,研究了一种自适应主动平衡算法。基于单平面影响系数平衡方程,通过引入增益因子提高平衡迭代过程稳定性,并引入遗忘因子实现影响系数在线估计,构建了单平面在线自适应平衡算法的数学模型。为验证所提出的平衡算法的有效性,设计了一种含有永磁体的电磁圆环形主动平衡头,通过线圈电磁场与永磁体间的磁力作用驱动配重盘步进转动,依靠磁阻最小原理自锁。针对所设计的电磁平衡头,提出了一种单盘转动平衡策略,对平衡补偿量相位进行了校正。开展了不同不平衡量和转速下电主轴主动平衡试验,获得了平衡过程的时域波形、振幅下降率、平衡步数和配重盘终位置。试验结果表明:不平衡量为24.59g·cm∠180°时振幅降低42.65%,不平衡量为24.59g·cm∠285°时振幅降低37.8%;转速为2 400r·min^(-1)时振幅降低40%,转速为3 000r·min^(-1)时振幅降低60%。研究结果证明了所提出的平衡算法和装置是可行、有效的。
An adaptive active balancing algorithm is developed to realize rotor unstop balance. Based on a single-plane influence coefficient balancing equation, the mathematical model of a single-plane online adaptive balancing is established by introducing a gain factor to improve the stability of balancing iteration process and introducing a forgetting factor to realize the online estimation of influence coefficient. To verify effectiveness of this proposed balancing method, an electromagnetic ring active balancer with permanent magnet is designed, where the interaction of magnetic field between coil and permanent magnet drives the counterweight disk step by step, its self-locking is realized following minimum magnetic resistance principle. For the designed electromagnetic balancer, a single-disk rotation balancing strategy is proposed, and the phase of balancing compensation is calibrated. The active balancing test of a motorized spindle under different unbalance and speed is carried out, and the time-domain waveform, amplitude reduction rate, balancing step number and the final position of counterweight disk are obtained. Test results show reduction of amplitude by 42.65% for the imbalance of 24.59 g·cm∠180°, and by 37.8% for 24.59 g·cm∠285°; also, test results show reduction of amplitude by 40% at 2 400 r·min^-1 , and by 60% at 3 000 r·min^-1 .
作者
樊红卫
智静娟
史必佳
景敏卿
刘恒
张旭辉
FAN Hongwei 1,2 , ZHI Jingjuan 3, SHI Bijia 3, JING Minqing 3,4 , LIU Heng 2,3,4 , ZHANG Xuhui 1(1. School of Mechanical Engineering, Xi＇an University of Science and Technology, Xi＇an 710054, China;2. Key Laboratory of Education Ministry for Modern Design ＆ Rotor-Bearing System, Xi＇an Jiaotong University,Xi＇an 710049, China; 3. School of Mechanical Engineering, Xi＇an Jiaotong University, Xi＇an 710049, China;4. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi＇an Jiaotong University, Xi＇an 710049, Chin)
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2018年第8期15-21,29,共8页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目(51605380)
陕西省自然科学基础研究计划资助项目(2017JQ5105)
陕西省博士后科研基金资助项目(2016BSHYDZZ08)
关键词
转子
自适应平衡
电磁平衡头
平衡试验
电主轴
rotor
adaptive balancing
electromagnetic balancer
balancing test
motorized spindle
