Journal of Jilin University(Engineering and Technology Edition) ›› 2019, Vol. 49 ›› Issue (4): 1186-1193.doi: 10.13229/j.cnki.jdxbgxb20180240

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Leakage/volumetric efficiency analysis and experiment of internal and external meshing gear motors

De⁃sheng WEN,Guang⁃dong SUI,Shan⁃heng TIAN,Shao⁃peng WANG,Pei⁃kun FENG,Xiao⁃xue LIU   

  1. College of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
  • Received:2018-03-18 Online:2019-07-01 Published:2019-07-16

Abstract:

Based on the special structure of internal/external meshing gear motor, the main ways of leakage were analyzed. Through the calculation formula of leakage, four different connection modes were analyzed. Meanwhile, the test bed was built to measure the volume efficiency of the motor. The results show that the leakage of the end gap of the gear motor is independent of the motor speed, and it is only related to the pressure difference of the motor inlet and outlet. With gear motor connected in different ways, the radial clearance leakage has a tiny change. As the motor inlet and outlet pressure difference becomes bigger, the internal leakage of the motor gradually increases and the motor volume efficiency decreases. The mechanical efficiency increases with the increase of the pressure of the motor inlet and outlet. The conclusion is significant for the design, manufacture and use of the internal / external meshing gear motor.

Key words: fluid transmission and control, internal/external geared motors, leakage and volumetric efficiency

CLC Number: 

  • TH32

Fig.1

Internal/external meshing gear motor structure"

Table 1

Displacement of malda in different"

工作马达 V m i 工作马达 V m i
内马达 ( i = 1 ) V m 1 内、外马达 ( i = 3 ) V m 3
外马达 ( i = 2 ) V m 2 差动连接 ( i = 4 ) V m 4

Fig.2

Internal/external geared motor leakage analysis chart"

Table 2

Cogear design parameters of internal/external meshing motors"

参数 取值 参数 取值
共齿轮齿宽/mm 40 共齿轮的外齿轮齿轴半径/mm 27
共齿轮的外齿轮高压腔的包角/rad 1 4 π 共齿轮的内齿轮齿轴半径/mm 24
共齿轮的内齿轮高压腔的包角/rad 1 2 π 共齿轮外齿轮齿顶厚度/mm 2.1
共齿轮的外齿轮齿顶圆半径/mm 37.5 共齿轮内齿轮齿顶厚度/mm 1.7
共齿轮的内齿轮齿顶圆半径/mm 15.8 共齿轮外齿轮过渡区的齿数 17
共齿轮的外齿轮齿根圆半径/mm 30.8 共齿轮内齿轮过渡区的齿数 11
共齿轮的内齿轮齿根圆半径/mm 19.1

Table 3

Large gear design parameters for internal /"

参数 取值 参数 取 值
大齿轮齿宽/mm 40 大齿轮齿轴半径/mm 17
大齿轮高压腔的包角/rad 1 3 π 大齿轮齿顶厚度/mm 2
大齿轮齿顶圆半径/mm 27 大齿轮过渡区的齿数 11
大齿轮齿根圆半径/mm 20.3

Table 4

Pinion design parameters for internal / external geared gear motors"

主要设计参数 取值 主要设计参数 取值
小齿轮齿宽/mm 40 小齿轮齿顶厚度/mm 1
小齿轮高压腔的包角/rad 2 3 π 大齿轮过渡区的齿数 5
小齿轮齿顶圆半径/mm 12 齿轮马达的端面间隙/mm 0.015
小齿轮齿根圆半径/mm 12 齿轮马达的径向间隙/mm 0.03
小齿轮齿轴半径/mm 8.6

Table 5

Leakage of external motor"

工作马达 泄漏形式 泄漏位置 齿轮转速r/min 泄漏大小L/min
外马达单独工作 泄漏合成 总泄漏 192.50 1.693
外马达 端面间隙泄漏 共齿轮的外齿轮 192.50 0.543
大齿轮 276.70 0.430
径向间隙泄漏 共齿轮的外齿轮 192.50 0.290
大齿轮 276.70 0.430

Table 6

Leakage of inner motor"

工作马达 泄漏形式 泄漏位置 齿轮转速(r·min-1 泄漏大小(L·min-1
内马达单独工作 泄漏合成 总泄漏 769.8 0.888
内马达 端面间隙泄漏 共齿轮的内齿轮 769.8 0.373
小齿轮 1264.7 0.285
径向间隙泄漏 共齿轮的内齿轮 769.8 0.052
小齿轮 1264.7 0.178

Table 7

Leakage while motor works in combined mode"

工作马达 泄漏形式 泄漏位置 齿轮转速/(r·min-1 泄漏大小/(L·min-1
马达同时工作 泄漏形式合成 总泄漏 154.0 1.920
外马达 端面间隙泄漏 共齿轮的外齿轮 154.0 0.543
大齿轮 221.3 0.430
径向间隙泄漏 共齿轮的外齿轮 154.0 0.028
大齿轮 221.3 0.042
内马达 端面间隙泄漏 共齿轮的内齿轮 154.0 0.373
小齿轮 253.0 0.285
径向间隙泄漏 共齿轮的内齿轮 154.0 0.046
小齿轮 253.0 0.168

Table 8

Leakage while motor works in differential mode"

工作马达 泄漏形式 泄漏位置 齿轮转速/(r·min-1 泄漏大小/(L·min-1
马达同时工作 泄漏形式合成 总泄漏 256.6 1.907
外马达 端面间隙泄漏 共齿轮的外齿轮 256.6 0.543
大齿轮 368.9 0.431
径向间隙泄漏 共齿轮的外齿轮 256.6 0.029
大齿轮 368.9 0.043
内泵 端面间隙泄漏 共齿轮的内齿轮 256.6 0.373
小齿轮 421.6 0.285
径向间隙泄漏 共齿轮的内齿轮 256.6 0.042
小齿轮 421.6 0.161

Fig.3

Internal / external meshing gear motor experimental system"

Table 9

Working state of diverter valve under different connection modes"

连接方式 工作马达 换向阀5 换向阀6 换向阀7
1 内马达 + - -
2 外马达 - + -
3 内、外马达 - - -
4 差动连接 - + +

Fig.4

Internal/external meshing gear motor parts"

Fig.5

Internal/external meshing gear motor connection diagram"

Table 10

Output torque of internal external meshing gear motor"

压差

/MPa

内外啮合齿轮马达输出转矩
连接方式1 连接方式2 连接方式3 连接方式4
1 1.1 4.4 5.6 3.5
2 2.1 8.9 11.8 7.8
3 3.2 14.1 18.5 12.8
4 4.5 20.1 26.5 19.8
5 6.1 26.5 34.9 25.2
6 7.6 32.5 42.5 34.5

Table 11

Internal / external meshing gear motor"

压差

/MPa

内外啮合齿轮马达输出转速
连接方式1 连接方式2 连接方式3 连接方式4
1 690 180 150 248
2 691 176 146 246
3 683 175 146 243
4 679 172 143 240
5 670 164 132 236
6 663 160 126 231

Table 12

Internal / external meshing gear motor efficiency experimental data"

压差/MPa 输出转矩/(N·m) 输出转速/(r·min-1) 容积效率ηv /% 机械效率ηm /% 总效率η/%
1 5.6 150 97.4 54.3 52.3
2 11.8 146 95.4 57.2 54.3
3 18.5 146 95.4 59.8 57.2
4 26.5 143 93.4 64.3 60.1
5 34.9 132 86.2 67.7 58.3
6 42.5 126 82.3 68.7 57.8

Fig.6

Internal/external meshed gear motor efficiency curves"

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