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Chin J Eng Design  2023, Vol. 30 Issue (3): 297-305    DOI: 10.3785/j.issn.1006-754X.2023.00.039
Theory and Method of Mechanical Design     
Design and optimization of multipole disc-type magnetorheological brake
Hao HUANG(),Jie WU(),Bingbing DENG,Hongyang XIE
School of Mechanical Engineering, Xihua University, Chengdu 610000, China
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Abstract  

Aiming at the problem that the working gap magnetic field intensity distributes unevenly along the radial direction of the brake disc and the working gap magnetic field intensity far from the coil area is small, a multipole disc-type magnetorheological (MR) brake is proposed and designed. Firstly, the basic structure and working principle of the multipole disc-type MR brake were elaborated and the magnetic circuit modeling of the MR brake was completed, and then a mathematical model of its braking torque was established. Then, based on finite element simulation software, the magnetic field simulation analysis for the multipole disc-type MR brake was carried out. Finally, taking the torque density as an optimization objective, the structural optimization design of the multipole disc-type MR brake was completed by BOBYQA (bound optimization by quadratic approximation) algorithm within the gradient free optimization algorithm. The results showed that the external gap magnetic induction intensity of the designed MR brake was 0.681?0.760 T; the magnetic induction intensity at the internal gap of 0?<5 mm was 0.114?0.349 T, and the magnetic induction intensity at the internal gap of 5?65 mm was 0.362?0.498 T; the two magnetic fields generated by the inner and outer coils could be superimposed in the MR fluid gap, which improved the braking torque. Compared to before optimization, when the current of all inner and outer coils was 1 A, the braking torque increased by 15.2% and the torque density increased by 14.3% of the optimized MR brake. The multipole disc-type MR brake can provide a reference for the development of high torque density MR transmission technology.



Key wordsmagnetorheological (MR) brake      multipole      disc-type      braking torque      torque density     
Received: 24 October 2022      Published: 06 July 2023
CLC:  TH 132  
Corresponding Authors: Jie WU     E-mail: hh18990363654@163.com;jiewu323@163.com
Cite this article:

Hao HUANG,Jie WU,Bingbing DENG,Hongyang XIE. Design and optimization of multipole disc-type magnetorheological brake. Chin J Eng Design, 2023, 30(3): 297-305.

URL:

https://www.zjujournals.com/gcsjxb/10.3785/j.issn.1006-754X.2023.00.039     OR     https://www.zjujournals.com/gcsjxb/Y2023/V30/I3/297


多极圆盘式磁流变制动器的设计与优化

针对传统圆盘式磁流变制动器中工作间隙磁场强度沿制动盘径向分布不均匀、远离线圈区域的工作间隙磁场强度较小的问题,提出并设计了一种多极圆盘式磁流变制动器。首先,阐述了多极圆盘式磁流变制动器的基本结构及工作原理,完成了磁流变制动器的磁路建模,并建立了其制动转矩的数学模型。然后,基于有限元仿真软件,开展了多极圆盘式磁流变制动器的磁场仿真分析。最后,以转矩密度为优化目标,采用梯度自由优化算法中的BOBYQA(bound optimization by quadratic approximation,二次逼近边界优化)算法,完成了多极圆盘式磁流变制动器的结构优化设计。结果表明,所设计的磁流变制动器的外间隙磁感应强度为0.681~0.760 T;内间隙0~<5 mm处的磁感应强度为0.114~0.349 T,5~65 mm处的磁感应强度为0.362~0.498 T;内、外线圈产生的2种磁场可以在磁流变液间隙中实现叠加,从而提高制动转矩。相较于优化前,当所有内、外线圈的电流为1 A时,优化后磁流变制动器的制动转矩增大了15.2%,转矩密度增大了14.3%。多极圆盘式磁流变制动器可为高转矩密度磁流变传动技术的发展提供参考。


关键词: 磁流变制动器,  多极,  圆盘式,  制动转矩,  转矩密度 
Fig.1 Schematic diagram of coil arrangement for multipole disc-type magnetorheological (MR) brake
Fig.2 Structure diagram of multipole disc-type MR brake
Fig.3 Schematic diagram of magnetic circuit for multi-pole disc-type MR brake
Fig.4 Equivalent magnetic circuit of multipole disc-type MR brake
Fig.5 Axial schematic diagram of brake disc
Fig.6 Main structural parameters of multipole disc-type MR brake
结构参数优化范围
上限下限
上、下制动盘厚度t1128
上、下壳体厚度t41812
中间壳体厚度t62517
磁极圆心所在中心圆半径r66560
磁极半径r121915
Table 1 Optimization range of main structural parameters of multipole disc-type MR brake
Fig.7 Optimization iteration process of main structural parameters of multipole disk-type MR brake
Fig.8 Optimization iteration process of torque density of multipole disc-type MR brake
结构参数优化前优化后
上、下制动盘厚度t1108
上、下壳体厚度t41212
中间壳体厚度t61217
磁极圆心所在中心圆半径r66165
磁极半径r121819
Table 2 Optimization results of main structural parameters of multipole disc-type MR brake
优化前后制动转矩/(N?mm)

转矩密度/

(N/mm2)

上制动盘下制动盘
性能提升率/%15.315.114.3
优化前169 340168 25023 815
优化后195 220193 60027 222
Table 3 Comparison of braking performance of multipole disc-type MR brake before and after optimization
Fig.9 Simulation model of multipole disc-type MR brake
Fig.10 B-H curve of MRF-305 MR fluid
Fig.11 Magnetic field distribution at each gap of multipole disc-type MR brake
Fig.12 Magnetic induction intensity variation curve at each gap of multipole disc-type MR brake
性能参数线圈通电方式
方式1)方式2)方式3)方式4)
上制动盘制动转矩/(N?mm)171 050103 60020 407195 220
下制动盘制动转矩/(N?mm)169 070102 92020 274193 600
转矩密度/(N/mm2)23 85214 4482 845.727 222
Table 4 Comparison of braking performance of multipole disc-type MR brake under different powering methods
性能参数磁极数量/个
642
上制动盘制动转矩/(N?mm)195 220121 95048 311
下制动盘制动转矩/(N?mm)193 600121 14047 997
转矩密度/(N/mm2)27 22217 0056 736.8
Table 5 Comparison of braking performance of multipole disc-type MR brake with different number of magnetic poles
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