三自由度等刚度永磁弹簧的力学特性研究

中国机械工程 ›› 2015, Vol. 26 ›› Issue (8): 1005-1009.

三自由度等刚度永磁弹簧的力学特性研究

孙凤;张明;孙兴伟;金俊杰;李清;李殿起;王可

沈阳工业大学,沈阳,110870

出版日期:2015-04-25 发布日期:2015-09-10
基金资助:
国家自然科学基金资助项目(51105257);辽宁省高等学校杰出青年学者成长计划资助项目(LQJ2014012)

Study on Mechanics Characteristics of 3-DOF Same-stiffness Permanent Magnetic Spring

Sun Feng;Zhang Ming;Sun Xingwei;Jin Junjie;Li Qing;Li Dianqi;Wang Ke

Shenyang University of Technology,Shenyang,110870

Online:2015-04-25 Published:2015-09-10
Supported by:
National Natural Science Foundation of China（No. 51105257）;

摘要/Abstract

摘要：

设计出一种三自由度等刚度永磁弹簧,并根据单组永磁体结构，采用虚位移法建立其径向磁力解析模型，利用有限元方法对径向磁力进行了仿真计算。仿真结果和模型计算结果基本吻合。解析计算与仿真结果表明，该永磁弹簧的径向磁力随着径向位移的增加而增大,随着轴向位移的增大而减小。在永磁弹簧平动平面内,两个移动方向的刚度系数和垂直于平面中心的回转刚度系数均相等。在径向位移较小时，径向位移与弹簧刚度系数近似成线性关系。

关键词: 等刚度, 永磁弹簧, 径向磁力, 有限元法

Abstract:

This paper presented a 3-DOF same stiffness permanent magnetic spring. According to the structure, the mathematical model of permanent magnetic spring was set by virtual displacement method. The model of the spring's radial magnetic force was calculated by the mathematical model and FEM software, the calculated results are basically in agreement with the simulation results. The results show that the radial magnetic force of the permanent magnet spring increases with increasing the radial displacement, decreases with increasing the axial displacement. In translational plane, the stiffness coefficients of two moving directions and the rotational direction are equal. When the radial displacement is small, the relationship between the radial displacement and spring stiffness coefficient is approximately linear.

Key words: same-stiffness, permanent magnetic spring, radial magnetic force, finite-element method(FEM)

中图分类号:

TH135

孙凤, 张明, 孙兴伟, 金俊杰, 李清, 李殿起, 王可. 三自由度等刚度永磁弹簧的力学特性研究[J]. 中国机械工程, 2015, 26(8): 1005-1009.

Sun Feng, Zhang Ming, Sun Xingwei, Jin Junjie, Li Qing, Li Dianqi, Wang Ke. Study on Mechanics Characteristics of 3-DOF Same-stiffness Permanent Magnetic Spring[J]. China Mechanical Engineering, 2015, 26(8): 1005-1009.

参考文献

[1]Xi Qian Kun,Zeng Pei,Min Ru Wei,et al.Novel Magnetic Spring and Magnetic Bearing[J].IEEE Transactions on Magnetics, 2003, 39(1):559-561.
[2]Robertson W,Cazzolato B,Zander A.A Multipole Array Magnetic Spring[J].IEEE Transactions on Magnetics,2005,41(10):3826-3828.
[3]杨红,赵韩.稀土永磁弹簧的力学特性研究[J].农业机械学报,2003,34(1):111-117.
Yang Hong,Zhao Han.Study on Dynamic Characters of Rare Earth Permanent Magnetic Spring[J].Transactions of the Chinese Society for Agricultural Machinery,2003,34(1):111-117.
[4]刘雪箐,白志红,熊光煜.永磁弹簧的设计与计算分析[J].太原工业大学学报, 2004,35(3):349-351.
Liu Xuejing,Bai Zhihong,Xiong Guangyu.Calculation of Permanent Magnets Spring[J].Journal of Taiyuan University of Technology, 2004, 35(3):349-351.
[5]高海波,邓宗全,胡明,等.行星轮式月球车移动系统的关键技术[J].机械工程学报,2005,41(12):156-161.
Gao Haibo,Deng Zongquan,Hu Ming,et al.Key Technology of Moving System of Lunar Rover with Planetary Wheel[J]. Chinese Journal of MechanicalEngineering,2005,41(12):156-161.
[6]张云鹏,刘淑琴,李红伟,等.基于磁路分析的轴向混合磁轴承径向承载力解析计算[J].电工技术学报,2012,27(5):137-142.
Zhang Yunpeng,Liu Shuqin,Li Hongwei,et al.Calculation of Radial Electromagnetic Force of Axial Hybrid Magnetic Bearing Based on Magnetic Circuit Analysis[J].Transactions of China Electrotechnical Society,2012,27(5):137-142.
[7]孙立军,张涛,赵兵.永磁磁轴承数学模型的研究[J].机械工程学报,2005,41(4):69-74.
Sun Lijun,Zhang Tao,Zhao Bing.Study of Mathematical Model of Permanent Magnet Bearings[J].Chinese Journal of Mechanical Engineering,2004,41(4):69-74.
[8]汤双清,蔡敢为,杨家军,等.一种新型被动磁悬浮轴承的研究[J].中国机械工程,2002,13(4):2134-2136.
Tang Shuangqing,Cai Ganwei,Yang Jiajun,et al. Study on a New-type Passive Magnetic Bearing[J].China Mechanical Engineering, 2002, 13(4):2134-2136.
[9]田录林，李言，安源，等. 轴向放置轴向磁化的双环永磁轴承径向磁力研究[J]. 中国机械工程,2007,18(24)： 2926-2929.
Tian Lulin,Li Yan,An Yuan,et al.Research on the Radial Magnetic Force of Axial Placement and Axial Magnetization Bi-annular-shaped PMB[J].China Mechanical Engineering,2007,18(24):2926-2929.
[10]田录林，李言，田琦，等. 轴向放置的轴向磁化多环永磁轴承径向磁力研究[J]. 中国机械工程,2008,19(10):1163-1166.
Tian Lulin,Li Yan,Tian Qi,et al.Research on the Radial Magnetic Force of Axial Placement and Axial Magnetization Multiannul-shaped Permanent Magnetic Bearings[J].China Mechanical Engineering,2008,19(10):1163-1166.

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