Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism

This paper presents a novel redundant-actuated 4-PSS&S compliant parallel micro-rotation mechanism (P represents the actuated prismatic joint and S denotes the spherical pair) with three rotational degrees of freedom. First, compliance models of the flexure spherical hinge, each branch and the w...

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Main Authors: Jun Ren, Ruihan Xiao, Yahao Lu
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Micromachines
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Online Access:https://www.mdpi.com/2072-666X/16/6/612
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author Jun Ren
Ruihan Xiao
Yahao Lu
author_facet Jun Ren
Ruihan Xiao
Yahao Lu
author_sort Jun Ren
collection DOAJ
description This paper presents a novel redundant-actuated 4-PSS&S compliant parallel micro-rotation mechanism (P represents the actuated prismatic joint and S denotes the spherical pair) with three rotational degrees of freedom. First, compliance models of the flexure spherical hinge, each branch and the whole mechanism are established using the compliance matrix method. Then, the mechanism is simplified as an equivalent spring system to establish two kinetostatic models, with their correctness validated through finite element simulations. Finally, a comparative analysis is conducted on the performance of the 3-PSS&S mechanism, non-redundant-actuated 4-PSS&S mechanism and redundant-actuated 4-PSS&S mechanism. The results show the following: ① For the 4-PSS&S mechanism, redundant actuation with optimized actuating force distribution effectively reduces the peak actuating force by up to 50% (average 40.95%), achieving an average 10.79% reduction compared to the 3-PSS&S mechanism. ② The 4-PSS&S mechanism’s output stiffness increases by 26.68% in the <i>θ<sub>x</sub></i> and <i>θ<sub>y</sub></i> directions and by 33.31% in the <i>θ<sub>z</sub></i> direction compared to the 3-PSS&S mechanism. ③ Optimal force distribution significantly reduces the parasitic axis drift of the redundant-actuated 4-PSS&S mechanism at the constrained flexure spherical hinge S3, indicating higher motion accuracy. ④ The workspace volume of the redundant-actuated 4-PSS&S mechanism expands by 94.32% compared to the 3-PSS&S mechanism and by 372.89% compared to the non-redundant-actuated 4-PSS&S mechanism.
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spelling doaj-art-6b71c6d82a7148f3bec9a32fcf85c9be2025-08-20T03:27:40ZengMDPI AGMicromachines2072-666X2025-05-0116661210.3390/mi16060612Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation MechanismJun Ren0Ruihan Xiao1Yahao Lu2Hubei Key Laboratory of Modern Manufacturing Quantity Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quantity Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quantity Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaThis paper presents a novel redundant-actuated 4-PSS&S compliant parallel micro-rotation mechanism (P represents the actuated prismatic joint and S denotes the spherical pair) with three rotational degrees of freedom. First, compliance models of the flexure spherical hinge, each branch and the whole mechanism are established using the compliance matrix method. Then, the mechanism is simplified as an equivalent spring system to establish two kinetostatic models, with their correctness validated through finite element simulations. Finally, a comparative analysis is conducted on the performance of the 3-PSS&S mechanism, non-redundant-actuated 4-PSS&S mechanism and redundant-actuated 4-PSS&S mechanism. The results show the following: ① For the 4-PSS&S mechanism, redundant actuation with optimized actuating force distribution effectively reduces the peak actuating force by up to 50% (average 40.95%), achieving an average 10.79% reduction compared to the 3-PSS&S mechanism. ② The 4-PSS&S mechanism’s output stiffness increases by 26.68% in the <i>θ<sub>x</sub></i> and <i>θ<sub>y</sub></i> directions and by 33.31% in the <i>θ<sub>z</sub></i> direction compared to the 3-PSS&S mechanism. ③ Optimal force distribution significantly reduces the parasitic axis drift of the redundant-actuated 4-PSS&S mechanism at the constrained flexure spherical hinge S3, indicating higher motion accuracy. ④ The workspace volume of the redundant-actuated 4-PSS&S mechanism expands by 94.32% compared to the 3-PSS&S mechanism and by 372.89% compared to the non-redundant-actuated 4-PSS&S mechanism.https://www.mdpi.com/2072-666X/16/6/612redundant actuationcompliant parallel mechanismkinetostatic modelingoptimal distribution of actuating forceoutput stiffnessparasitic axis drift
spellingShingle Jun Ren
Ruihan Xiao
Yahao Lu
Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
Micromachines
redundant actuation
compliant parallel mechanism
kinetostatic modeling
optimal distribution of actuating force
output stiffness
parasitic axis drift
title Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
title_full Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
title_fullStr Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
title_full_unstemmed Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
title_short Kinetostatic Modeling and Performance Analysis of Redundant-Actuated 4-PSS&S Compliant Parallel 3-DOF Micro-Rotation Mechanism
title_sort kinetostatic modeling and performance analysis of redundant actuated 4 pss s compliant parallel 3 dof micro rotation mechanism
topic redundant actuation
compliant parallel mechanism
kinetostatic modeling
optimal distribution of actuating force
output stiffness
parasitic axis drift
url https://www.mdpi.com/2072-666X/16/6/612
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AT ruihanxiao kinetostaticmodelingandperformanceanalysisofredundantactuated4pssscompliantparallel3dofmicrorotationmechanism
AT yahaolu kinetostaticmodelingandperformanceanalysisofredundantactuated4pssscompliantparallel3dofmicrorotationmechanism