Geometric Determination of the Interference-Free Constant-Orientation Workspace of Parallel Cable-Driven Mechanisms

Ketao Zhang, Yuefa Fang, Hairong Fang, Jian S. Dai

Research output: Contribution to journalArticlepeer-review

68 Citations (Scopus)

Abstract

This paper presents a three-spherical kinematic chain based parallel mechanism that evolved from an origami fold. The new parallel mechanism with symmetrical structure consists of a base, a platform, and three-spherical six-bar chains as chain-legs connecting to both base and platform via revolute joints. This paper investigates the constraint of the mechanism by constructing a virtual symmetric plane that is based on the three virtual centers of the spherical chains. Revealing the geometric characteristics and constraint disposition of the constraint screw system, singularity is identified related to the constraint configuration based on Grassmann line geometry and dependency of the constraint screw system, leading to selection of the design parameters that avoid the platform singularity. [DOI: 10.1115/1.4001783]
Original languageEnglish
Article number031014
JournalJournal of Mechanisms and Robotics
Volume2
Issue number3
Publication statusPublished - Aug 2010

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