Abstract
Computing the workspace of parallel manipulators is critical to characterize their behavior. Usually, workspace is obtained by iterating the robot’s forward kinematics for a discrete range of poses, resulting in a cloud of reachable points. Here we propose an alternative algebraic formulation that is based on a recursive generation of volumes for solids of revolution to evaluate each limb’s workspace. The robot’s workspace is then obtained as the intersection of the limbs’ workspaces. With a practical example on the CaPaMan design and on a 3-UPR architecture, both the numerical and algebraic methods are discussed with their features and limits.
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Russo, M., Ceccarelli, M. (2021). A Comparison of Algebraic and Iterative Procedures for the Generation of the Workspace of Parallel Robots. In: Zeghloul, S., Laribi, M.A., Arsicault, M. (eds) Mechanism Design for Robotics. MEDER 2021. Mechanisms and Machine Science, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-030-75271-2_6
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