Dynamic model of a 3-DOF redundantly actuated parallel manipulator

We investigate the dynamic mode of a 3-degree of freedom (DOF) redundantly actuated parallel manipulator by taking the flexible deformation of the limbs into account. The dynamic model is derived using Newton–Euler formulation. Since the number of equations derived from the force and moment equilibr...

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Main Authors: Tiemin Li, Shi Jia, Jun Wu
Format: Article
Language:English
Published: SAGE Publishing 2016-09-01
Series:International Journal of Advanced Robotic Systems
Online Access:https://doi.org/10.1177/1729881416662791
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author Tiemin Li
Shi Jia
Jun Wu
author_facet Tiemin Li
Shi Jia
Jun Wu
author_sort Tiemin Li
collection DOAJ
description We investigate the dynamic mode of a 3-degree of freedom (DOF) redundantly actuated parallel manipulator by taking the flexible deformation of the limbs into account. The dynamic model is derived using Newton–Euler formulation. Since the number of equations derived from the force and moment equilibrium of the parallel manipulator components is less than the number of unknown variables, the flexible deformation of the limbs is treated as an inequality constraint to find the solution of the dynamic model. The errors of moving platform caused by the flexible deformation of limbs are discussed, and a control strategy is given. To validate the model, the dynamic model is integrated with the control system and compared with the traditional method to minimize the normal driving forces.
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spelling doaj.art-549bf20c8c7c4476afc1f3715a92cc1c2022-12-22T01:25:21ZengSAGE PublishingInternational Journal of Advanced Robotic Systems1729-88142016-09-011310.1177/172988141666279110.1177_1729881416662791Dynamic model of a 3-DOF redundantly actuated parallel manipulatorTiemin Li0Shi Jia1Jun Wu2 Manufacturing Engineering Institute, Department of Mechanical Engineering, Tsinghua University, Beijing, China Beijing Key Laboratory of Precision/ Ultra-precision Manufacturing Equipment and Control, Tsinghua University, Beijing, China State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, ChinaWe investigate the dynamic mode of a 3-degree of freedom (DOF) redundantly actuated parallel manipulator by taking the flexible deformation of the limbs into account. The dynamic model is derived using Newton–Euler formulation. Since the number of equations derived from the force and moment equilibrium of the parallel manipulator components is less than the number of unknown variables, the flexible deformation of the limbs is treated as an inequality constraint to find the solution of the dynamic model. The errors of moving platform caused by the flexible deformation of limbs are discussed, and a control strategy is given. To validate the model, the dynamic model is integrated with the control system and compared with the traditional method to minimize the normal driving forces.https://doi.org/10.1177/1729881416662791
spellingShingle Tiemin Li
Shi Jia
Jun Wu
Dynamic model of a 3-DOF redundantly actuated parallel manipulator
International Journal of Advanced Robotic Systems
title Dynamic model of a 3-DOF redundantly actuated parallel manipulator
title_full Dynamic model of a 3-DOF redundantly actuated parallel manipulator
title_fullStr Dynamic model of a 3-DOF redundantly actuated parallel manipulator
title_full_unstemmed Dynamic model of a 3-DOF redundantly actuated parallel manipulator
title_short Dynamic model of a 3-DOF redundantly actuated parallel manipulator
title_sort dynamic model of a 3 dof redundantly actuated parallel manipulator
url https://doi.org/10.1177/1729881416662791
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AT shijia dynamicmodelofa3dofredundantlyactuatedparallelmanipulator
AT junwu dynamicmodelofa3dofredundantlyactuatedparallelmanipulator