Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach

The dynamic analysis of Three-Link planar robot arm and control system with (PID) are presented and investigated. The dynamic analysis is very important in the design and control of the robot. The difference between the actual dynamic analysis and ideal dynamic analysis is the presence of friction i...

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Main Author: R.M. Hussein
Format: Article
Language:English
Published: Unviversity of Technology- Iraq 2017-06-01
Series:Engineering and Technology Journal
Subjects:
Online Access:https://etj.uotechnology.edu.iq/article_131975_3eeeea1a2266985c627960a98ee93f35.pdf
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author R.M. Hussein
author_facet R.M. Hussein
author_sort R.M. Hussein
collection DOAJ
description The dynamic analysis of Three-Link planar robot arm and control system with (PID) are presented and investigated. The dynamic analysis is very important in the design and control of the robot. The difference between the actual dynamic analysis and ideal dynamic analysis is the presence of friction in the robot joints. In this work, the frictional effect in the joints of three-link planar robot is inserting in the dynamic equations and that makes the dynamic analysis is more reality and difficult. The mathematical model that represent the friction consist of two types of friction (Coulomb and viscous friction). A Lagrange method is used and applied to evaluate the generalized forces in the two cases (without and with the effect of friction). Control system with (PID) controller is presented with Simulink block set to evaluate and show the dynamic response of each link in two cases (without and with friction). MATLAB software is used for programing and simulation the equations. In addition, with that, error signals are presented and analyzed for each link. It is concluded from the results that the values of generalized forces in case of presence of friction are more about (12%) than the values of the forces in case of without friction and the behaviors of the dynamic response is linear in case of without friction while the behavior become (non-linear) by inserting the frictional effect in the robot joints. The results indicate that the effect of friction is very important and must be not neglected.
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spelling doaj.art-f236dc06339c4501882c489267c55be92024-02-04T17:19:38ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582017-06-01356A58759210.30684/etj.35.6A.5131975Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange ApproachR.M. HusseinThe dynamic analysis of Three-Link planar robot arm and control system with (PID) are presented and investigated. The dynamic analysis is very important in the design and control of the robot. The difference between the actual dynamic analysis and ideal dynamic analysis is the presence of friction in the robot joints. In this work, the frictional effect in the joints of three-link planar robot is inserting in the dynamic equations and that makes the dynamic analysis is more reality and difficult. The mathematical model that represent the friction consist of two types of friction (Coulomb and viscous friction). A Lagrange method is used and applied to evaluate the generalized forces in the two cases (without and with the effect of friction). Control system with (PID) controller is presented with Simulink block set to evaluate and show the dynamic response of each link in two cases (without and with friction). MATLAB software is used for programing and simulation the equations. In addition, with that, error signals are presented and analyzed for each link. It is concluded from the results that the values of generalized forces in case of presence of friction are more about (12%) than the values of the forces in case of without friction and the behaviors of the dynamic response is linear in case of without friction while the behavior become (non-linear) by inserting the frictional effect in the robot joints. The results indicate that the effect of friction is very important and must be not neglected.https://etj.uotechnology.edu.iq/article_131975_3eeeea1a2266985c627960a98ee93f35.pdfthreelink planarrobotcoulomb frictionviscous frictionlagrangedynamic analysispid controller
spellingShingle R.M. Hussein
Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
Engineering and Technology Journal
three
link planar
robot
coulomb friction
viscous friction
lagrange
dynamic analysis
pid controller
title Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
title_full Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
title_fullStr Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
title_full_unstemmed Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
title_short Effect of Friction on the Dynamical Analysis of Three-Link Planar Robot Arm by Using Lagrange Approach
title_sort effect of friction on the dynamical analysis of three link planar robot arm by using lagrange approach
topic three
link planar
robot
coulomb friction
viscous friction
lagrange
dynamic analysis
pid controller
url https://etj.uotechnology.edu.iq/article_131975_3eeeea1a2266985c627960a98ee93f35.pdf
work_keys_str_mv AT rmhussein effectoffrictiononthedynamicalanalysisofthreelinkplanarrobotarmbyusinglagrangeapproach