The determination of workspace is an essential step in the development of parallel manipulators. By extending the virtual-chain (VC) approach to the type synthesis of parallel manipulators, this technical brief proposes a VC approach to the workspace analysis of parallel manipulators. This method is first outlined before being illustrated by the production of a three-dimensional (3D) computer-aided-design (CAD) model of a 3-RPS parallel manipulator and evaluating it for the workspace of the manipulator. Here, R, P and S denote revolute, prismatic and spherical joints respectively. The VC represents the motion capability of moving platform of a manipulator and is shown to be very useful in the production of a graphical representation of the workspace. Using this approach, the link interferences and certain transmission indices can be easily taken into consideration in determining the workspace of a parallel manipulator.
Skip Nav Destination
Article navigation
April 2016
Technical Briefs
Determination of the Workspace of a Three-Degrees-of-Freedom Parallel Manipulator Using a Three-Dimensional Computer-Aided-Design Software Package and the Concept of Virtual Chains1
Andrew Johnson,
Andrew Johnson
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: aj159@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: aj159@hw.ac.uk
Search for other works by this author on:
Xianwen Kong,
Xianwen Kong
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: X.Kong@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: X.Kong@hw.ac.uk
Search for other works by this author on:
James Ritchie
James Ritchie
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: J.M.Ritchie@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: J.M.Ritchie@hw.ac.uk
Search for other works by this author on:
Andrew Johnson
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: aj159@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: aj159@hw.ac.uk
Xianwen Kong
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: X.Kong@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: X.Kong@hw.ac.uk
James Ritchie
School of Engineering and Physical Sciences,
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: J.M.Ritchie@hw.ac.uk
Heriot-Watt University,
Edinburgh EH14 4AS, United Kingdom
e-mail: J.M.Ritchie@hw.ac.uk
1The original version of this paper was presented at the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Portland, OR, Aug. 4–7, ASME Paper No. DETC2013-12586.
Manuscript received February 4, 2015; final manuscript received August 31, 2015; published online November 24, 2015. Assoc. Editor: Raffaele Di Gregorio.
J. Mechanisms Robotics. Apr 2016, 8(2): 024501 (3 pages)
Published Online: November 24, 2015
Article history
Received:
February 4, 2015
Revised:
August 31, 2015
Accepted:
September 18, 2015
Citation
Johnson, A., Kong, X., and Ritchie, J. (November 24, 2015). "Determination of the Workspace of a Three-Degrees-of-Freedom Parallel Manipulator Using a Three-Dimensional Computer-Aided-Design Software Package and the Concept of Virtual Chains." ASME. J. Mechanisms Robotics. April 2016; 8(2): 024501. https://doi.org/10.1115/1.4031656
Download citation file:
Get Email Alerts
Cited By
2024 Reviewers
J. Mechanisms Robotics
Inverse Design of Three-Dimensional Variable Curvature Pneumatic Soft Actuators
J. Mechanisms Robotics (July 2025)
Exact Solutions of the Mixed Motion and Path Synthesis Problem for Four-Bar Linkages
J. Mechanisms Robotics (July 2025)
Related Articles
Kinematic Analysis of the 3-RPS Cube Parallel Manipulator
J. Mechanisms Robotics (February,2015)
Forward Acceleration of Kinematic Limbs for Redundant Serial–Parallel Manipulators
J. Mechanisms Robotics (February,2020)
Kinematic Performance and Static Analysis of a Two-Degree-of-Freedom 3-RPS/US Parallel Manipulator With Two Passive Limbs
J. Mechanisms Robotics (April,2023)
Analysis of Two Spherical Parallel Manipulators With Hidden Revolute Joints
J. Mechanisms Robotics (June,2017)
Related Proceedings Papers
Related Chapters
The Analyzing of Value Chain and Exploring of Chinese Software Outsourcing Industry Talent Training
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Constructing Dynamic Event Trees from Markov Models (PSAM-0369)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
The Human Factor in Network System Survivability (PSAM-0090)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)