Singularity Analysis of a Hybrid Serial-Cable Driven Planar Robot

S. Lahouar, L. Romdhane
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Abstract

: In this study, we address the problem of singularities of a hybrid serial-cable driven planar robot. Based on an analytical kinetostatic analysis three types of singularities are determined, i.e., serial, parallel, and combined singularities. In addition, cable tensions should be positive, otherwise, the robot will be uncontrollable. The serial singularity corresponds to positions where the serial port of the robot is fully extended or fully folded. The parallel singularity corresponds to aligned cables and combined singularities correspond to both cases. Cable tensions distribution, within the workspace, is determined, which allowed the identification of regions where the cable tensions exceed an allowable value. The influence of physical parameters on the workspace of the robot and its singular configurations is also studied. An example of a gait rehabilitation system using this type of robot is shown. Based on the kinetostatic analysis, multi-objective optimization of the dexterity and the cable tensions is performed, which yielded solutions represented by a Pareto front. The results have been extended to the case of 3 degrees of freedom hybrid robot.
串行-电缆混合驱动平面机器人奇异性分析
在这项研究中,我们解决了一个混合串行电缆驱动的平面机器人的奇异性问题。基于解析式动静力分析,确定了三种奇异点,即串联、并联和组合奇异点。此外,缆绳张力应为正,否则,机器人将无法控制。串行奇点对应于机器人的串口完全展开或完全折叠的位置。平行奇点对应于排列的电缆,组合奇点对应于这两种情况。确定了工作空间内的电缆张力分布,从而可以识别电缆张力超过允许值的区域。研究了物理参数对机器人工作空间及其奇异构型的影响。给出了一个使用这种类型机器人的步态康复系统的实例。在动静力分析的基础上,对柔度和索张力进行了多目标优化,得到了以帕累托前沿表示的解。所得结果已推广到3自由度混合动力机器人的情况。
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