低幅角分配系数径向柱塞马达导轨曲线设计与分析

doi:10.13229/j.cnki.jdxbgxb.20230504

摘要/Abstract

摘要：

针对内曲线径向柱塞马达幅角分配系数较小时无脉动定子曲线设计受限的问题，提出了一种根据幅角叠加原理进行无脉动幅角分配的方法。在低分配系数下对等加速、含过渡区的等加速、正弦、含过渡区的正弦、抛物线、含过渡区的抛物线和匀变加速修正等加速7种运动规律曲线进行了无脉动幅角分配研究。以六作用八柱塞内曲线径向柱塞马达为例，通过Matlab/Simulink对分配结果及幅角对输出特性的影响进行了分析。结果表明：①该方法可实现低分配系数下对各含过渡区曲线进行无脉动幅角分配，且分配时在满足工况需求下零速区应尽量小。②对于匀变加速修正等加速曲线，前后修正角也应较小，且可使前修正角大于后修正角以使其接触应力变化更为均匀。

关键词: 径向柱塞液压马达, 导轨曲线, 低幅角分配系数, 幅角分配, 转矩脉动, 接触应力

Abstract:

Aiming at the problem that the design of the non-pulsating stator curve is limited when the argument distribution coefficient of the inner curve radial piston motor is small， a method for non-pulsating argument distribution according to the principle of argument superposition is proposed. Under the low distribution coefficient， the non-pulsation argument distribution of seven kinds of motion law curves， such as equal acceleration， equal acceleration with transition region， sinusoid， sinusoidal with transition region， parabola， parabola with transition region and uniform acceleration correction equal acceleration were studied. Taking the radial piston motor with six-acting eight-piston inner curve as an example， the influence of distribution result and argument on output characteristics is analyzed by Matlab/Simulink. The results show that ： ①This method can realize the non-pulsation angle distribution of each curve with transition zone under low distribution coefficient， and the zero velocity zone should be as small as possible when the working condition is satisfied. ②For the uniform acceleration correction equal acceleration curve， the front and rear correction angles should also be small， and the front correction angle can be larger than the rear correction angle to make the contact stress change more uniform.

Key words: radial piston hydraulic motor, guide curve, low argument distribution coefficient, argument distribution, torque pulsation, contact stress

中图分类号:

TH137.51

安高成,呼振华,董洪全,刘宝玉,高凯,王文康. 低幅角分配系数径向柱塞马达导轨曲线设计与分析[J]. 吉林大学学报(工学版), 2025, 55(2): 485-493.

Gao-cheng AN,Zhen-hua HU,Hong-quan DONG,Bao-yu LIU,Kai GAO,Wen-kang WANG. Design and analysis of guide curve of radial piston motor with low argument distribution coefficient[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(2): 485-493.

图/表 12

图1

图2

图3

图4

表1

曲线幅角分配结果"

幅角/（°）		曲线
幅角/（°）		a	b	c	d	e	f	g
零速区	$φ 0$	0	1	0	1	0	1	1
加速区	$φ 5$	-	-	-	-	-	-	1
	$φ 1$	15	13	15	13	15	13	11
	$φ 6$	-	-	-	-	-	-	1
过渡区	$φ 2$	-	2	-	2	-	2	2
减速区	$φ 7$	-	-	-	-	-	-	1
	$φ 3$	15	13	15	13	15	13	11
	$φ 8$	-	-	-	-	-	-	1

表1

图5

图6

表2

图7

图8

图9

图10

参考文献 17

1	李壮云. 液压元件与系统[M]. 北京: 机械工业出版社,2011.
2	贺辉,宋大凤,杨南南,等. 轮毂马达液驱系统控制与仿真[J]. 吉林大学学报: 工学版,2012,42(): 27-31.
	He Hui, Song Da-feng, Yang Nan-nan, et al. Control and simulation of hydraulic in-wheel motor propulsion system[J]. Journal of Jilin University(Engineering and Technology Edition), 2012, 42(Sup.1): 27-31.
3	黄方平,罗从宗,黄菲,等. 低速大扭矩多作用内曲线径向柱塞式液压马达的发展与应用[J]. 机床与液压,2015,43(4): 181-183.
	Huang Fang-ping, Luo Cong-zong, Huang Fei, et al. Development and application of low-speed and high- torque multi-acting internal curve radial piston hydraulic motor[J]. Machine Tool & Hydraulics, 2015, 43(4): 181-183.
4	Tao J, Wang H Y, Liao H H, et al. Mechanical design and numerical simulation of digital-displacement radial piston pump for multi-megawatt wind turbine drivetrain[J]. Renewable Energy, 2019, 143: 995-1009.
5	陈卓如. 低速大扭矩液压马达理论、计算与设计[M]. 北京: 机械工业出版社,1989.
6	杨国来,黄昭雪,李熙彬,等. 幅角分配对大排量径向柱塞泵性能的影响[J]. 液压与气动,2016(6): 1-7.
	Yang Guo-lai, Huang Zhao-xue, Li Xi-bin, et al. Effect of argument distribution on performance of larger displacement radial piston pump[J]. Chinese Hydraulic & Pneumatics, 2016(6): 1-7.
7	高殿荣,王志强,赵一楠. 径向低速大转矩水液压马达定子曲线特性分析[J]. 机械设计,2012,29(9): 29-35.
	Gao Dian-rong, Wang Zhi-qiang, Zhao Yi-nan. Analysis of stator curve characteristics of radial low-speed large torque hydraulic motor[J]. Journal of Mechanical Design, 2012, 29(9): 29-35.
8	Wang Z Q, Yao H, Bao W J, et al. Motion simulation and statics analysis of the stator and rotor of low speed high torque water hydraulic motor[C]∥ Intelligent Robotics and Applications: 8th International Conference, Portsmouth, UK, 2015: 167-180.
9	王志强. 内曲线式低速大扭矩水液压马达关键技术研究[D]. 秦皇岛:燕山大学机械工程学院,2014.
	Wang Zhi-qiang. Research on key technology of incurve type water hydraulic motor with low speed high torque [D]. Qinhuangdao:School of Mechanical Engineering, Yanshan University, 2014.
10	武洪松. 低速大扭矩水液压马达定子曲线研究[D]. 秦皇岛:燕山大学机械工程学院,2016.
	Wu Hong-song. Research on the stator curve of water- hydraulic motor with low speed high torque[D]. Qinhuangdao: School of Mechanical Engineering, Yanshan University, 2016.
11	于红英,钟汉田,李硕. 修正心形线式内曲线径向柱塞马达脉动分析[J]. 哈尔滨工业大学学报,2012,44 (3): 44-48.
	Yu Hong-ying, Zhong Han-tian, Li Shuo. The analysis on the flow pulsation of radial piston motor with the modified heart-shaped curve as inner curve[J]. Journal of Harbin Institute of Technology, 2012, 44(3): 44-48.
12	辛剑波,柯尊荣,武艺. 径向双球塞柱塞马达广义椭圆定子曲线导轨的分析与设计[J]. 液压与气动, 2018, 2018(10): 87-91.
	Xin Jian-bo, Ke Zun-rong, Wu Yi. Analysis and design on curved guide orbit of generalized elliptic stator for radial double ball plunger motor[J]. Chinese Hydraulic & pneumatics, 2018, 2018(10): 87-91.
13	辛剑波,柯尊荣,乐国鹏,等. 采用广义椭圆方程曲线导轨的径向球塞马达的输出特性[J]. 液压与气动,2019(6): 47-52.
	Xin Jian-bo, Ke Zun-rong, Le Guo-peng, et al. Output characteristics of radial bulb stopper hydraulic motor using generalized elliptic equation curve orbits[J]. Chinese Hydraulic & Pneumatics, 2019(6): 47- 52.
14	黄菲,黄方平,沈萌红. 径向柱塞式液压马达等接触应力内曲线的精确绘制[J] . 机床与液压,2013,41(19): 148-150.
	Huang Fei, Huang Fang-ping, Shen Meng-hong. Accurate drawing of equal contact stress inner curve for radial-piston hydraulic motor[J]. Machine Tool & Hydraulics, 2013, 41(19): 148-150.
15	程海林. 径向柱塞式液压马达等接触应力内曲线的研究[D]. 杭州:浙江工业大学机电工程学院,2004.
	Cheng Hai-lin. Study on internal contact stress curve of radial piston hydraulic motor[D]. Hangzhou: School of Mechanical and Electrical Engineering, Zhejiang University of Technology, 2004.
16	刘为海. 径向柱塞式液压马达无脉动等应力导轨曲线设计与分析[D]. 武汉: 武汉理工大学机电工程学院, 2013.
	Liu Wei-hai. Design and analysis of pulseless isostress guide curve for radical piston hydraulic motor[D]. Wuhan: School of Mechanical and Electrical Engineering, Wuhan University of Technology, 2013.
17	张小龙,张军辉,张红娟,等. 内曲线径向柱塞马达导轨曲线的优化设计[J]. 华中科技大学学报: 自然科学,2021, 49(10): 30-35.
	Zhang Xiao-long, Zhang Jun-hui, Zhang Hong-juan, et al. Optimized design of cam ring curve of cam lobe radial- piston motor[J]. Journal of Huazhong University of Science and Technology (Natural Science), 2021, 49(10): 30-35.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

度加速度	曲线
度加速度	a	b	c	d	e	f	g
最大值/（mm·rad^-2）	345.8	399.0	543.2	626.7	518.7	598.5	432.2
最大突变值/（mm·rad^-2）	691.6	399.0	0	0	0	0	0

[1]	刘永平,董长斌,魏永峭. 椭圆齿轮传动系统齿面接触与动态磨损分析[J]. 吉林大学学报(工学版), 2021, 51(5): 1620-1627.
[2]	徐涛, 赵玉洁, 邵晴, 张友鹤, 徐天爽, 于征磊. 联合载荷下角接触球轴承静态接触特性分析[J]. 吉林大学学报(工学版), 2017, 47(4): 1114-1120.
[3]	董立春, 韩志武, 张雷, 牛士超, 马荣峰, 任露泉. 凹坑型仿生形态环块样件接触问题有限元数值模拟[J]. 吉林大学学报(工学版), 2013, 43(增刊1): 543-546.
[4]	王晓升. 一种控制SRM转矩脉动减小的算法[J]. 吉林大学学报(工学版), 2001, (2): 86-90.