Operational-space wrench and acceleration capability analysis for multi-link cable-driven robots

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erational-space wrench and acceleration capability analysis for multi-link cable-driven robots 1,2†

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SHENG XinJun , TANG Lei , HUANG XinJia , ZHU LiMin , 1,2 1,2* ZHU XiangYang & GU GuoYing 1

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Robotics Institute, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China Received October 9, 2019; accepted January 13, 2020; published online April 20, 2020

Multi-link cable-driven robots (MCDRs) have potential advantages in confined spaces exploration because of their redundancy and flexibility. Operational space wrench and acceleration capability analysis of MCDRs is important for their design, manipulability optimization, and motion planning. However, existing works mainly focus on capability analysis in the joint space. In this paper, we present a zonotope-based iterative method and a simplified capability zonotope to analyze the operational-space wrench and acceleration capability of MCDRs. In the iterative method, the capability generated by some cables can be iteratively added to the initial capability zonotope based on the Minkowski sum. In the simplified zonotope capability representation, a threshold is put forward to reduce redundant vertices and faces with little volume loss. Finally, simulations on a 24 DOFs MCDR are performed to verify the effectiveness of the developed method. The results demonstrate that our iterative algorithm can easily generate the capability zonotope with a few MB ROM, while traditional operational wrench capability evaluation without our iterative algorithm needs 18432 GB ROM. Furthermore, our simplified representation reduces the vertices and faces from 1260 and 2516 to 88 and 172, respectively, but with only 3.3% volume loss, which decreases the constraints of the robot and is conducive to manipulability optimization and motion planning. multi-link cable-driven robots, operational space, capability analysis, zonotope Citation:

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Sheng X J, Tang L, Huang X J, et al. Operational-space wrench and acceleration capability analysis for multi-link cable-driven robots. Sci China Tech Sci, 2020, 63, https://doi.org/10.1007/s11431-019-1525-0

Introduction

Cable-driven robots are driven by cables attached to them instead of rigid-linked mechanism, which leads to lightweight structures and flexible motions for confined space exploration [1–3]. Based on the differences of mechanical structures, the cable-driven robots can be roughly classified into two types: cable-driven parallel robots (CDPRs) [4–6] and multi-link cable-driven robots (MCDRs) [7,8]. In †These authors contributed equally to this work. *Corresponding author (email: [email protected])

CDPRs, the cables are, respectively, connected to the moving platform and base, which results in large workspace [9], easiness of reconfiguration [10], and suitable for load lift [11], civil construction [12] and motion simulators [13]. Alternatively, MCDRs consist of several CDPRs wit