非轴对称复杂曲面回转件虚拟动平衡设计方法及试验

doi:10.3901/JME.2023.17.148

机械工程学报 ›› 2023, Vol. 59 ›› Issue (17): 148-161.doi: 10.3901/JME.2023.17.148

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非轴对称复杂曲面回转件虚拟动平衡设计方法及试验

杨杰^1,2, 崔国华^1,2, 李海涛³, 张振山^1,2, 和法洋⁴, 盛天豪⁵

1. 上海工程技术大学机械与汽车工程学院上海 201620;
2. 上海市大型构件智能制造机器人技术协同创新中心上海 201620;
3. 中国农业大学工学院北京 100083;
4. 上海合纵重工机械有限公司上海 201500;
5. 上海航天设备制造总厂有限公司上海 201100

收稿日期:2022-08-09 修回日期:2023-03-05 出版日期:2023-09-05 发布日期:2023-11-16
通讯作者: 崔国华(通信作者),男,1975年出生,博士,教授,博士研究生导师。主要研究方向为机器人机械学。E-mail:ghcui2020@163.com
作者简介:杨杰,男,1987年出生,博士,讲师,硕士研究生导师。主要研究方向为环面蜗杆传动。E-mail:j.yang@sues.edu.cn
基金资助:
国家自然科学基金（52005317）；上海市大型构件智能制造机器人技术协同创新中心2021年度开放基金（ZXP20211101）资助项目。

Design Method and Experiment of Virtual Dynamic Balance for Rotating Parts with Non-axisymmetry and Complex Surfaces

YANG Jie^1,2, CUI Guohua^1,2, LI Haitao³, ZHAGN Zhenshan^1,2, HE Fayang⁴, SHENG Tianhao⁵

1. School of Mechanical and Automotive Engineering, Shanghai University of Engineering Science, Shanghai 201620;
2. Shanghai Collaborative Innovation Center of Intelligent Manufacturing Robot Technology for Large Components, Shanghai 201620;
3. College of Engineering, China Agricultural University, Beijing 100083;
4. Shanghai Hezong Heavy Industry Machinery Co., Ltd, Shanghai 201500;
5. Shanghai Aerospace Equipment Manufacturer Co., Ltd, Shanghai 201100

Received:2022-08-09 Revised:2023-03-05 Online:2023-09-05 Published:2023-11-16

摘要/Abstract

摘要： 针对非轴对称复杂曲面回转件的几何结构所引起的动不平衡问题，提出了一种虚拟动平衡设计方法，将整个系统简化为单个刚体旋转模型，根据平行轴定理推导出质径积的表达式，并针对相位滞后问题提出了采用正反转求相位补偿量的方法。建立了虚拟动平衡仿真平台，以环面蜗杆这类复杂曲面回转件为例进行仿真分析，获取待测点在稳定周期内沿X轴方向的振动幅值，结果表明：选取的两个平衡平面上均存在大小不等的不平衡质量，分别为11.8 g和14.7 g，通过相位补偿得到两个不平衡质量所对应的准确相位角分别为133.2°和93.6°，平衡后的振动幅值分别下降了97.5%和93%，平衡效果明显。最后，进行了实际的动平衡实验，测定得到初始的不平衡质量分别为13.66 g和15.21 g，相位角分别为131°和95°，和理论计算值相比，不平衡质量的最大误差为1.86 g，相位角的最大误差为2.2°；实际的平衡结果显示，左右两侧的剩余不平衡质量分别为1.33 g和0.18 g，不平衡量分别下降了90.3%和98.8%，进一步验证了理论模型及虚拟动平衡方法的正确性。

关键词: 虚拟动平衡, 非轴对称, 复杂曲面回转件, 仿真, 动平衡实验

Abstract: A virtual dynamic balance design method is proposed to solve the problem of dynamic imbalance caused by the geometric structure of non-axisymmetric complex surface revolving parts. Mainly, the whole designed system is simplified to a single rigid body. Then according to the parallel axis theorem, the expression of mass-radius product is obtained. A solution of calculating phase compensation by forward and reverse rotation to phase lag is also proposed. The toroidal worm is taken as an example to be simulated and analyzed on the designed system. After these,the vibration amplitude of the test point in the x-axis direction in the stable period is obtained. The unbalanced masses on two selected test planes are calculated,which are 11.8 g and 14.7 g respectively. By the above solution to phase lag, accurate phase angles corresponding to two unbalanced masses are also obtained, which are 133.2° and 93.6° respectively. After virtual dynamic balancing, the vibration amplitude is decreased by 97.5% and 93% respectively; the effect of balancing is obvious. Eventually, according to the stages of virtual dynamic balancing, the field dynamic balance experiment is carried out. The original unbalanced masses of the worm on the same two selected planes are obtained,which are 13.66 g and 15.21 g respectively. Phase angles corresponding to these two unbalanced masses are also obtained, which are 131° and 95° respectively. Compared with the theoretical value, the maximum error of unbalanced mass is 1.86 g and the maximum error of phase angle is 2.2°. After field dynamic balancing,the residual unbalance masses on the same two planes are obtained,which are 1.33 g and 0.18 g respectively. And the unbalance masses are decreased by 90.3% and 98.8% respectively. The correctness of the proposed theoretical model and virtual dynamic balance method is further demonstrated.

Key words: virtual dynamic balance, non-axisymmetric, complex surface rotating parts, simulation, dynamic balance experiment

中图分类号:

TH17

杨杰, 崔国华, 李海涛, 张振山, 和法洋, 盛天豪. 非轴对称复杂曲面回转件虚拟动平衡设计方法及试验[J]. 机械工程学报, 2023, 59(17): 148-161.

YANG Jie, CUI Guohua, LI Haitao, ZHAGN Zhenshan, HE Fayang, SHENG Tianhao. Design Method and Experiment of Virtual Dynamic Balance for Rotating Parts with Non-axisymmetry and Complex Surfaces[J]. Journal of Mechanical Engineering, 2023, 59(17): 148-161.

参考文献

[1] 李祥文. 2018年金属切削机床标准化工作情况综述[J]. 机械工业标准化与质量,2019(9):10-15. LI Xiangwen. A review of the standardization work of metal cutting machine tools in 2018[J]. Standardization and Quality of Machinery Industry,2019(9):10-15.
[2] 陈立芳,王维民,高金吉. 航空发动机自动平衡技术发展综述[J]. 航空动力学报,2019,34(7):1530-1541. CHEN Lifang,WANG Weimin,GAO Jinji. A review of the development of aero-engine automatic balancing technology[J]. Journal of Aerodynamics,2019,34(7):1530-1541.
[3] QIAO X,HU G. Active control for multinode unbalanced vibration of flexible spindle rotor system with active magnetic bearing[J]. Shock and Vibration,2017(12):1-9.
[4] MOON J,KIM B,LEE S. Development of the active balancing device for high-speed spindle system using influence coefficients[J]. International Journal of Machine Tools & Manufacture,2006,46(9):978-987.
[5] 王汉. 转子平衡技术与平衡机[M]. 北京:机械工业出版社,1988. WANG Han. Rotor balancing technology and balancing machine[M]. Beijing:China Machine Press,1988.
[6] 徐宾刚,屈梁生. 非对称转子的全息动平衡技术[J]. 西安交通大学学报,2000,34(3):60-65. XU Bingang,QU Liangsheng. Holographic dynamic balancing technology of asymmetric rotor[J]. Journal of Xi'an Jiaotong University,2000,34(3):60-65.
[7] 霍家骥,于洪杰,潘鑫,等. 大型旋转设备压液式在线自动平衡系统[J/OL].机械工程学报:1-8,[2022-08-18]. http://kns.cnki.net/kcms/detail/11.2187.TH.20220817.1514.002.html. HUO Jiaji,YU Hongjie,PAN Xin,et al. Hydrostatic on-line automatic balancing system for large rotating equipment[J/OL]. Journal of Mechanical Engineering:1-8,[2022-08-18]. http://kns.cnki.net/kcms/detail/11.2187.TH.20220817.1514.002.html.
[8] 潘鑫,彭瑞轩,张皓宇,等. 高端机械装备新型电磁式自动平衡系统研究[J/OL]. 机械工程学报:1-10,[2022-08-18].http://kns.cnki.net/kcms/detail/11.2187.TH.20220808.0924.020.html. PAN Xin,PENG Ruixuan,ZHANG Haoyu,et al. Research on new electromagnetic automatic balancing system of high-end mechanical equipment[J/OL]. Journal of Mechanical Engineering:1-10,[2022-08-18]. http://kns.cnki.net/kcms/detail/11.2187.TH.20220808.0924.020.html.
[9] 景资文. 同轴对转双转子虚拟动平衡原理及方法研究[D]. 北京:北京化工大学,2021. JING Ziwen. Research on the virtual dynamic balance principle and method of coaxial counter-rotating double rotors[D]. Beijing:Beijing University of Chemical Technology,2021.
[10] XIANG Jiawei,CHEN Dongdi,CHEN Xuefeng,et a1. A novel wavelet based finite element method for the analysis of rotor-bearing systems[J]. Finite Elements in Analysis & Design,2009,45(12):908-916.
[11] MOON J,KIM B,LEE S. Development of the active balancing device for high-speed spindle system using influence coefficients[J]. International Journal of Machine Tools and Manufacture,2006,46(9):978-987.
[12] FAN Hongwei,WANG Jin,SHAO Sijie,et al. A corrected adaptive balancing approach of motorized spindle considering air gap unbalance[J]. Applied Sciences-Basel,2020,10(6):2197.
[13] 彭军. Solidworks motion在动平衡设计仿真中的应用[J]. 智能制造,2016(Z1):68-70. PENG Jun. Application of Solidworks motion in dynamic balance design simulation[J].Intelligent Manufacturing,2016(Z1):68-70.
[14] 李海涛,杨杰,芮成杰,等. 非轴对称复杂曲面回转件虚拟动平衡机及动平衡设计方法:中国,201710030636.4[P]. 2017-05-10. LI Haitao,YANG Jie,RUI Chengjie,et al. Virtual dynamic balancing machine and dynamic balancing design method for non-axisymmetric complex surface rotary parts:CHINA,201710030636.4[P]. 2017-05-10.
[15] 申永胜. 机械原理[M]. 3版. 北京:清华大学出版社,2015. SHEN Yongsheng. Mechanical principles[M]. 3rd ed. Beijing:Tsinghua University Press,2015.
[16] ZHANG Yun,MEI Xuesong,SHAO Mingping,et al. An improved holospectrum-based balancing method for rotor systems with anisotropic stiffness[J]. Proceedings of Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2013,227(2):246-260.
[17] 黄金平,任兴民,邓旺群,等. 基于不平衡加速响应信息的柔性转子双面平衡[J]. 航空学报,2010,31(2):400-409. HUANG Jinping,REN Xingmin,DENG Wangqun,et al. Double-sided balance of flexible rotor based on unbalanced acceleration response information[J]. Acta Aeronautica Sinica,2010,31(2):400-409.
[18] RANJAN G,TIWARI R. Application of active magnetic bearings for in situ flexible rotor residual balancing using a novel generalized influence coefficient method[J]. Inverse Problems in Science and Engineering,2018,27(7):943-968.
[19] 邓旺群,李上福,高德平,等. 细长柔性转子高速动平衡方法[J]. 航空动力学报,2004(4):506-511. DENG Wangqun,LI Shangfu,GAO Deping,et al. High-speed dynamic balancing method for slender and flexible rotors[J]. Journal of Aerodynamics,2004(4):506-511.
[20] LIU Yang,MING Shuaishuai,ZHAO Siyao,et al. Research on automatic balance control of active magnetic bearing-rigid rotor system[J]. Shock and Vibration,2019:1-13.
[21] 王汉. 转子平衡技术与平衡机[M]. 北京:机械工业出版社,1988. WANG Han. Rotor balancing technology and balancing machine[M]. Beijing:China Machine Press,1988.
[22] WANG Yingguang,FANG Jiancheng,ZHENG Shiqiang. A field balancing technique based on virtual trial-weights method for a magnetically levitated flexible rotor[J]. Journal of Engineering for Gas Turbines and Power,2014,136:1-7.

非轴对称复杂曲面回转件虚拟动平衡设计方法及试验

Design Method and Experiment of Virtual Dynamic Balance for Rotating Parts with Non-axisymmetry and Complex Surfaces

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