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Operation Mode Analysis of 3-RPS Parallel Manipulators based on their Design Parameters

Abstract : It is known that a 3-RPS parallel manipulator with an equilateral triangle base and an equilateral triangle platform has two operation modes [1] whereas a 3-RPS cube manipulator with a cube shaped base and an equilateral triangle platform has only one operation mode [2]. This behavior is indeed a result of the difference in the architectures of these manipulators. Therefore, this paper deals with the operation mode analysis of 3-RPS parallel manipulators based on their design parameters. Study's kinematic mapping is exploited to derive the constraint equations of the manipulators under study. A linear combination of the constraint equations independent of the joint variables is compared with a general quadric in the 7-dimensional projec-tive space P 7 to obtain some relations between the design parameters of 3-RPS manipulators with coplanar revolute joints, such that those manipulators have two operation modes. Some special cases and a numerical example are considered to emphasize the proposed approach and highlight the contributions of the paper.
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https://hal.archives-ouvertes.fr/hal-01860789
Contributor : Stéphane Caro <>
Submitted on : Friday, August 24, 2018 - 1:30:51 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:37 PM
Document(s) archivé(s) le : Sunday, November 25, 2018 - 12:50:07 PM

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Abhilash Nayak, Thomas Stigger, Manfred Husty, Philippe Wenger, Stéphane Caro. Operation Mode Analysis of 3-RPS Parallel Manipulators based on their Design Parameters. Computer Aided Geometric Design, Elsevier, 2018, 63, pp.122 - 134. ⟨10.1016/j.cagd.2018.05.003⟩. ⟨hal-01860789⟩

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