2010 IEEE International Conference on Automation Science and Engineering 2010
DOI: 10.1109/coase.2010.5584487
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CAD-enhanced workspace optimization for parallel manipulators: A case study

Abstract: The challenges of workspace determination of parallel manipulators (PMs) arise principally from the lack of analytical solutions of the forward kinematics. The inverseposition kinematics based approach for determining workspace tends to be inefficient, time consuming and unsophisticated. In this paper, we present a geometry-based method for accurate and computationally effective calculation of the workspace of a constrained parallel manipulator. We illustrate how boolean geometric operations can simplify the p… Show more

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Cited by 10 publications
(2 citation statements)
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“…The platform manipulator considered in this paper, a 6-P-U-S manipulator, is similar in architecture to the one considered in Narayanan, Chakravarty, Shah, and Krovi (2010) and Zhao and Gao (2009). A schematic diagram of the generalized manipulator is shown in Figure 5 and a detailed schematic for each limb subsystem for our specialized configuration is shown in Figure 6.…”
Section: Math Background System Definitionmentioning
confidence: 99%
“…The platform manipulator considered in this paper, a 6-P-U-S manipulator, is similar in architecture to the one considered in Narayanan, Chakravarty, Shah, and Krovi (2010) and Zhao and Gao (2009). A schematic diagram of the generalized manipulator is shown in Figure 5 and a detailed schematic for each limb subsystem for our specialized configuration is shown in Figure 6.…”
Section: Math Background System Definitionmentioning
confidence: 99%
“…This approach combines the advantages of the analytical method in accuracy and the graphical method in repeatability and visualization, and has been successfully applied to compute the velocity/acceleration, the Jacobian matrix, 15 the singular configuration, 16 the inertial wrench, 17 and the elastic deformation 18 of PMs. As it is difficult to obtain the analytical solutions of the forward kinematics of PMs, Shah et al 19 proposed a geometry-based method for accurate and computationally effective calculation of the workspace of a constrained PM. The author used the example of Stewart-Gough Platform to illustrate that such geometric programing methods using CAD modeling software could be much more insightful, efficient and accurate than conventional parameter sweep methods.…”
Section: Introductionmentioning
confidence: 99%