Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors

Laser beams can fluctuate in four directions, which requires active compensation by a fast steering mirror (FSM) motion system. This paper deals with the design of four-degrees-of-freedom (DoF) compliant parallel manipulators, for responding to the requirements of the FSM. In order to simplify high-...

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Main Authors: Guangbo Hao, Haiyang Li, Yu-Hao Chang, Chien-Sheng Liu
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Actuators
Subjects:
Online Access:https://www.mdpi.com/2076-0825/10/11/292
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author Guangbo Hao
Haiyang Li
Yu-Hao Chang
Chien-Sheng Liu
author_facet Guangbo Hao
Haiyang Li
Yu-Hao Chang
Chien-Sheng Liu
author_sort Guangbo Hao
collection DOAJ
description Laser beams can fluctuate in four directions, which requires active compensation by a fast steering mirror (FSM) motion system. This paper deals with the design of four-degrees-of-freedom (DoF) compliant parallel manipulators, for responding to the requirements of the FSM. In order to simplify high-precision control in parallel manipulators, maximum kinematic decoupling is always desired. A constraint map method is used to propose the four required DoF with the consideration of maximum kinematic decoupling. A specific compliant mechanism is presented based on the constraint map, and its kinematics is estimated analytically. Finite element analysis demonstrates the desired qualitative motion and provides some initial quantitative analysis. A normalization-based compliance matrix is finally derived to verify and demonstrate the mobility of the system clearly. In a case study, the results of normalization-based compliance matrix modelling show that the diagonal entries corresponding to the four DoF directions are about 10 times larger than those corresponding to the two-constraint directions, validating the desired mobility.
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spelling doaj.art-fd48127ccd6a4518a8b0545cda9758352023-11-22T21:57:12ZengMDPI AGActuators2076-08252021-11-01101129210.3390/act10110292Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering MirrorsGuangbo Hao0Haiyang Li1Yu-Hao Chang2Chien-Sheng Liu3School of Engineering, University College Cork, T12 K8AF Cork, IrelandSchool of Automotive Engineering, Dalian University of Technology, Dalian 116024, ChinaDepartment of Mechanical Engineering, National Chung Cheng University, Chiayi 621301, TaiwanDepartment of Mechanical Engineering, National Cheng Kung University, Tainan City 70101, TaiwanLaser beams can fluctuate in four directions, which requires active compensation by a fast steering mirror (FSM) motion system. This paper deals with the design of four-degrees-of-freedom (DoF) compliant parallel manipulators, for responding to the requirements of the FSM. In order to simplify high-precision control in parallel manipulators, maximum kinematic decoupling is always desired. A constraint map method is used to propose the four required DoF with the consideration of maximum kinematic decoupling. A specific compliant mechanism is presented based on the constraint map, and its kinematics is estimated analytically. Finite element analysis demonstrates the desired qualitative motion and provides some initial quantitative analysis. A normalization-based compliance matrix is finally derived to verify and demonstrate the mobility of the system clearly. In a case study, the results of normalization-based compliance matrix modelling show that the diagonal entries corresponding to the four DoF directions are about 10 times larger than those corresponding to the two-constraint directions, validating the desired mobility.https://www.mdpi.com/2076-0825/10/11/292fast steering mirrorcompliant parallel manipulatorconstraint map4-DoFdecoupling
spellingShingle Guangbo Hao
Haiyang Li
Yu-Hao Chang
Chien-Sheng Liu
Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
Actuators
fast steering mirror
compliant parallel manipulator
constraint map
4-DoF
decoupling
title Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
title_full Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
title_fullStr Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
title_full_unstemmed Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
title_short Design of Four-DoF Compliant Parallel Manipulators Considering Maximum Kinematic Decoupling for Fast Steering Mirrors
title_sort design of four dof compliant parallel manipulators considering maximum kinematic decoupling for fast steering mirrors
topic fast steering mirror
compliant parallel manipulator
constraint map
4-DoF
decoupling
url https://www.mdpi.com/2076-0825/10/11/292
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AT yuhaochang designoffourdofcompliantparallelmanipulatorsconsideringmaximumkinematicdecouplingforfaststeeringmirrors
AT chienshengliu designoffourdofcompliantparallelmanipulatorsconsideringmaximumkinematicdecouplingforfaststeeringmirrors