Kinematic analysis of a 5-R SP parallel mechanism with centralized motion
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The paper presents a kinematic analysis of a parallel mechanism, referred to here as a mechanism with centralized motion. The paper includes a proof, based on the geometry of the mechanism, that the platform exhibits centralized motion. An interesting feature of this parallel mechanism is that it is partially collapsible which may be beneficial in practical applications where storage space is limited. The platform is connected to a base, regarded as fixed in this paper, by five identical legs where each leg is a three-link chain connected by a revolute joint, a spherical joint, and a prismatic joint. The result is that the platform has a screw motion about an axis which is perpendicular to the base and passes through the centroids of the base and the platform, for all positions of the platform. The pitch of the instantaneous screw depends on the platform assembly configuration and is a function of the platform position and orientation. To complete the kinematic study, the paper includes closed-form solutions to the inverse and forward position and velocity problems. Finally, the paper includes several numerical examples to illustrate some of the key features of this novel parallel mechanism.
KeywordsParallel mechanism RSP architecture Centralized-motion Forward kinematics Inverse kinematics Instantaneous screw axis Jacobian matrix
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- 1.Gough VE, Whitehall SG (1961) Universal tire testing machine. In: Proc international technical congress FISITA, Institution of Mechanical Engineers, UK, p 117 Google Scholar
- 9.Shai O, Pennock GR (2006) Extension of graph theory to the duality between static systems and mechanisms. J Mech Des 128(1):179–191 Google Scholar
- 10.Dai JS, Sodhi C, Kerr DR (1994) Design and analysis of a new six-component force transducer based on the Stewart platform for robotic grasping. In: Proc the second Biennial European joint conference on engineering systems design and analysis, ASME PD 64(8-3), London, UK, pp 809–817 Google Scholar
- 14.Clavel R (1988) DELTA, a fast robot with parallel geometry. In: 18th international symposium on industrial robots, Lausanne, France, April 26–28, pp 91–100 Google Scholar
- 19.Rodriguez-Leal E, Dai JS (2007) From origami to a new class of centralized 3-DOF parallel mechanisms. In: Proc ASME international design engineering technical conferences & computers and information in engineering conference, September 4–7, Las Vegas, Nevada Google Scholar
- 21.Hunt KH (1982) Structural kinematics of in-parallel actuated robot-arms. In: Proc ASME design and production engineering technical conference, Washington, DC, Sept 12–15, p 9 Google Scholar
- 22.Zhao TS, Dai JS, Huang Z (2002) Geometric analysis of overconstrained parallel manipulators with three and four degrees of freedom. JSME Int J Ser C Mech Syst Mach Elem Manuf 45(3):730–740 Google Scholar
- 23.Rodriguez-Leal E, Dai JS, Pennock GR (2008) Kinematic analysis of a new family of centralized parallel mechanisms. In: Proc second international workshop on fundamental issues and future research directions for parallel mechanisms and manipulators, Montpellier, France, September 21 and 22, pp 57–65 Google Scholar
- 25.Bennett GT (1903) A new mechanism. Engineering 76:777–778 Google Scholar