Journal of Jilin University(Engineering and Technology Edition) ›› 2022, Vol. 52 ›› Issue (7): 1499-1508.doi: 10.13229/j.cnki.jdxbgxb20210049

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Design and stiffness continuously adjustable analysis of hydraulic servo flexible drive mechanism

Lin JIANG1,2(),Ling ZHOU1,Hui ZHAO1,2   

  1. 1.Key Laboratory of Metallurgical Equipment and Control Technology,Ministry of Education,Wuhan University of Science and Technology,Wuhan 430081,China
    2.Institute of Robotics and Intelligent Systems,Wuhan University of Science and Technology,Wuhan 430081,China
  • Received:2021-01-11 Online:2022-07-01 Published:2022-08-08

Abstract:

In order that the hydraulic manipulator outputs high stiffness while working,and changes stiffness to realize compliance while collision, the robot has corresponding flexibility under different working conditions and scenarios. A hydraulic servo flexible drive mechanism with both valve-controlled leakage and floating position was designed. Stiffness was reduced by internal and external unloading, so the robot could improve the safety of man-machine physical contact. Firstly, the joint structure and the principle of variable stiffness were introduced. Then, the dynamic simulation model was established by AMESim. The ranges of the valve controlled leakage and the radius of floating leakage were determined, when the following characteristics and motion characteristics of the mechanism were good. Next, the stiffness simulation model was established by MATLAB/Simulink, stiffness scatter values under different working conditions were obtained by simulation. Then the relationship between the single factor and the variable stiffness of the joint was analyzed. Finally, the multivariate nonlinear regression equation of joint stiffness, about floating position, valve control leakage and volume, was fitted based on MATLAB. And the comparison diagram of the initial stiffness scatters and the fitting four-dimensional curve was realized by the program. The results show that the stiffness of the flexible drive mechanism can be adjusted continuously in a wide range while ensuring good dynamic characteristics.

Key words: mechatronic engineering, valve-controlled leakage, floating position, multivariate nonlinear regression, stiffness continuously adjusted

CLC Number: 

  • TH12

Fig.1

Section view of hydraulic servo flexible drive mechanism"

Fig.2

A-A section view of the joint's compliant device"

Fig.3

Equivalent hydraulic bridge of system"

Fig.4

Simulation model of hydraulic servo flexible drive mechanism based on AMESim"

Table 1

Parameters of hydraulic servo flexible"

参 数参数值
滑阀凸肩直径/mm40
阀芯直径/mm25
摆动缸负载惯性矩/(kg·m20.4
摆动缸粘滞摩擦因数/[N·m·(rev·min-1)]0.8
摆动缸两端死区体积/cm310
顺序阀弹簧力/MPa7
节流孔直径/mm6
旁通阀台肩直径/mm8
旁通阀阀芯直径/mm4
旁通阀质量/kg0.010
旁通阀弹簧刚度/(N·mm-120
电机转速/(r·min-11500
泵的排量/(mL·r-1100
溢流阀限制压力/MPa15
转角增益值1e-5
外负载力矩/(N·m)40

Fig.5

Position follow characteristics vary with valve controlled leakage and floating position radius"

Fig.6

Flow curve of throttle"

Fig.7

Port area curve of bypass valve"

Fig.8

Speed curve of swing cylinder"

Table 2

Main parameters of stiffness simulation model"

参数名称数值
油膜宽度nπ/Dm0.01
油膜长度l/m0.08
油液的动力黏度μ/(Pa·s)0.05
外力输入时产生的压差ΔP/Pa2×106
工作腔内径r1/m0.025
工作腔长度L/m0.0731
工作腔长度R/m0.0382
容积Vt/m31.26×10-4
阀口流量系数Cd0.65
内泄漏qn/(m3·s-11×10-9
油液密度ρ/(kg·m-3850

Fig.9

Stiffness simulation model"

Fig.10

Curve of stiffness changing with pressure"

Fig.11

Curve of stiffness changing with volume"

Fig.12

Stiffness curve changing with valve controlled leakage"

Fig.13

Stiffness curve changing with floating radius"

Table 3

Stiffness scatter"

Ps/

MPa

Vt/

(10-4m3

qx/

(10-5m3·s-1

rf/(10-3m)

Kh/(Pa·

m3·rad-2

101.260.070.45470 80
101.260.470.55464 60
101.260.870.65459 30
101.261.270.75454 50
101.360.070.45436 10
101.360.470.55430 50
101.360.870.65425 50
101.361.270.75421 10
101.460.070.45406 30
101.460.470.55401 00
101.460.870.65396 40
101.461.270.75392 20
101.560.070.45380 20
101.560.470.55375 30
101.560.870.65371 00
101.561.270.75367 10
121.260.470.65463 80
121.360.070.75426 50
121.461.270.45405 70
121.560.870.55377 30
141.260.870.75461 30
141.361.270.65430 40
141.460.070.55407 40
141.560.470.45384 10
161.261.270.55470 60
161.360.870.45441 10
161.460.470.75400 50
161.560.070.65379 10

Table 4

Confidence interval table of regression model parameters"

回归系数置信区间
b0129 321.5[123 515.7 135 127.3]
b1128.0[-56.3 312.3]
b2-0.6[-7.7 6.4]
b3-92 625.0[-100 604.1 -846 45.9]
b422 250.0[19 422.0 25 078.0]
b5-341.1[-586.2 -96.0]
b6101.6[-75.2 278.3]
b7-5 075.0[-8 478.1 -1 672.0]
b81 000.0[-1 828.0 3 828.0]

Fig.14

Four-dimensional spatial curve of joint stiffness"

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