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research-article

Dynamic Trajectory Planning and Geometric Design of a Two-DOF translational Cable-Suspended Planar Parallel Robot Using a Parallelogram Cable Loop

[+] Author and Article Information
Jordan Longval

Département de génie mécanique, Université Laval, 065 Avenue de la Médecine, Québec, QC G1V0A6, Canada
jordan.longval.1@ulaval.ca

Clement Gosselin

Département de génie mécanique, Université Laval, 1065 Avenue de la Médecine, Québec, QC G1V0A6, Canada
clement.gosselin@gmc.ulaval.ca

1Corresponding author.

ASME doi:10.1115/1.4042486 History: Received October 09, 2018; Revised January 09, 2019

Abstract

This paper presents a trajectory planning approach and an analysis of the geometric design parameters for a planar cable-suspended translational parallel robot based on a parallelogram cable loop. The cable robot produces purely translational movements in a planar workspace. Furthermore, this special architecture only requires two actuators which makes it fully actuated. From the dynamic model of the robot, general algebraic inequalities are obtained that ensure that the cables remain taut. A general elliptic trajectory is then defined and substituted into the algebraic inequalities to obtain conditions on the geometrical design parameters that ensure that the cables are always in tension. In addition, a special trajectory-specific oscillation frequency emerges and enables the end-effector to dynamically move beyond the boundaries of the static workspace, thus expanding the workspace of the mechanism. Finally, a kinematic sensitivity index is studied in order to assess the influence of the parallelogram structure on the rotational stability of the mechanism.

Copyright (c) 2019 by ASME
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