Journal of Jilin University(Engineering and Technology Edition) ›› 2021, Vol. 51 ›› Issue (2): 442-449.doi: 10.13229/j.cnki.jdxbgxb20191061

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Stiffness modeling and feedforward control of servo electric cylinder drive system

Fu-gang ZHAI1,2,3(),Yan-bin YIN1,3,Chao LI1,3,Wei TIAN1,3,Zi-shi QIAO1,3   

  1. 1.School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China
    2.Institute of Mechanical Engineering,Nanjing Institute of Technology,Nanjing 211167,China
    3.Hebei Innovation Center for Equipment Lightweight Design and Manufacturing,Qinhuangdao 066004,China
  • Received:2019-11-21 Online:2021-03-01 Published:2021-02-09

Abstract:

Under the requirement of precise control, the servo electric cylinder needs to ensure a high positioning accuracy. However, under heavy load, the servo electric cylinder will have a large elastic deformation, which seriously affects its positioning accuracy. To solve this problem, first, the mechanical stiffness model of the servo electric cylinder transmission system is established, which is verified through experiments. Then, a feedforward control algorithm based on the stiffness model is added. The research results show that the established mechanical stiffness model of the established servo electric cylinder transmission system is effective.. The addition of the feedforward control algorithm can significantly improve the positioning accuracy of the servo electric cylinder.

Key words: mechanical engineering, servo motor cylinder, positioning accuracy, stiffness model, feedforward control

CLC Number: 

  • TH39

Fig.1

Servo electric cylinder structure schematic diagram"

Fig.2

Force analysis of ball in ball screw pair"

Fig.3

Ball screw pair in ball space layout"

Fig.4

Ball bearing deformation"

Fig.5

Force analysis of ball screw pair"

Fig.6

Torsion force analysis of lead screw"

Fig.7

Bearing group stress analysis"

Fig.8

Synchronous belt drive model"

Fig.9

Force diagram of push rod"

Table 1

Basic parameters of servo electric cylinder"

名称参数及数值
丝杠公称直径/mmd0=63
滚珠个数zn=90
滚珠直径/mmdb=12.7
公称接触角/(°)α=45
螺旋升角/(°)λ=4.622
导程/mmPh=16
弹性模量/PaE=2.19×1011
额定动载荷/kNCa=248.5
有效圈数ib=5.75
滚道曲率比tb=1.04
螺纹小径/mmd2=50
轴承滚珠直径/mmd=40
轴承滚珠个数z=7
轴承接触角/(°)α1=55
同步带模量/PaE1=8×1010
同步带宽度/mmb=52.5
同步带带高/mmhs=10
同步带齿高/mmht=6.02
紧边拉力/NF=3536.68
同步带预紧力/NF02=3000

Fig.10

Position error of servo motor cylinder under different load conditions"

Fig.11

Position error test bench"

Fig.12

Displacement test under no-load condition"

Fig.13

Displacement test under different load conditions"

Table 2

Experimental position error"

负载力/kN位置误差值
400.096
600.149
800.198
1000.248

Fig.14

Position feed forward control block diagram"

Fig.15

Servo electric cylinder position feedforward control block diagram"

Fig.16

Displacement simulation when feed forward control method is added"

Table 3

Comparison of position error values"

数据采集情况位置误差值
未加入前馈控制0.258
实验0.248
加入前馈控制0.005
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