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兵工学报 ›› 2017, Vol. 38 ›› Issue (1): 202-208.doi: 10.3969/j.issn.1000-1093.2017.01.027

• 研究简报 • 上一篇    

基于等效磁化强度法的一种电磁式角振动台气隙磁场分析方法

唐波1,2, 何闻2, 贾叔仕2   

  1. (1.中国计量大学 工业与商贸计量技术研究所, 浙江 杭州 310018;2.浙江大学 机械工程学院 浙江省先进制造技术重点实验室, 浙江 杭州 310027)
  • 收稿日期:2016-04-06 修回日期:2016-04-06 上线日期:2017-03-03
  • 通讯作者: 何闻(1969—),男,教授,博士生导师 E-mail:hewens@zju.edu.cn
  • 作者简介:唐波(1985—),男,讲师。E-mail:tang-bo001@163.com
  • 基金资助:
    国家自然科学基金项目(51375443);国家重大仪器设备开发专项项目(2013YQ470765);浙江省自然科学基金杰出青年基金项目(LR12E05001);浙江省先进制造技术重点实验室开放基金项目(2016KF05)

An Air-gap Magnetic Field Analysis Method of Electromagnetic Angular Vibrators Based on Equivalent Magnetization IntensityMethod

TANG Bo1,2, HE Wen2, JIA Shu-shi2   

  1. (1.Institute of Industry and Trade Measurement Technique, China Jiliang University, Hangzhou 310018, Zhejiang, China; 2.Key Laboratory of Advanced Manufacturing Technology of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, Zhejiang, China)
  • Received:2016-04-06 Revised:2016-04-06 Online:2017-03-03

摘要: 针对有限元法求解气隙磁场的磁路几何模型占用内存空间多和计算时间长等问题,提出一种基于等效磁化强度法求解电磁式角振动台气隙磁场分析方法。基于等效磁化强度法建立矢量磁位的微分方程组,得到包含磁路几何参数的磁感应强度解析表达式;与有限元法计算结果对比,验证等效磁化强度法的正确性;采用等效磁化强度法对磁路参数进行优化。分析结果表明:当气隙厚度保持不变时,随着永磁体扇形角的增加,气隙中有效均匀磁感应强度的区域变宽,而随永磁体厚度的增加,气隙磁感应强度将增强;当永磁体扇形角和厚度保持不变时,磁感应强度随气隙厚度的增加而减小。该方法可以快速分析磁路结构参数变化对气隙磁感应强度的影响程度,为优化设计电磁式角振动台磁路结构提供理论参考。

关键词: 电磁学, 角振动台, 气隙磁场, 等效磁化强度法, 有限元法

Abstract: The finite element method (FEM) takes much more memory space and computing time for establishing a magnetic circuit geometrical model for the analysis of the air-gap magnetic field . An efficient analytical approach is presented to solve the air-gap magnetic field of electromagnetic angular vibrators based on the equivalent magnetization intensity method (EMIM). The differential equations of the magnetic potential vector are built up based on the EMIM, and an analytical expression of magnetic flux density (MFD) that contains the geometrical parameters of magnetic circuit is derived. The effectiveness of EMIM is verified by comparing the calculated results of FEM and EMIM. The magnetic circuit parameters are optimized by using EMIM. The results show that the region of the effective uniform MFD is widened with the increase in the sector angle of permanent magnet (PM), and MFD in the air-gap becomes strong with the increase in the thickness of PM when the thickness of air-gap remains constant. MFD decreases with the increase in the thickness of air-gap when the sector angle and thickness of PM remain constant. The proposed method can be used to quickly analyze the parameters of magnetic circuit that impact on the air-gap magnetic field, and provide the theoretical reference of the magnetic circuit optimal design in electromagnetic angular ribrators. Key

Key words: electromagnetism, angularvibrator, air-gapmagneticfield, equivalentmagnetizationintensitymethod, finiteelementmethod

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