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空间一般6R机械手位置反解的新方法

DOI: 10.13190/jbupt.200902.29.nizhs, PP. 29-33

Keywords: 共形几何代数,迪克逊结式,6R机器人,逆运动学分析

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Abstract:

将共形几何代数(CGA)和迪克逊(Dixon)结式引入串联机构逆运动分析中,对一般6R机器人的位置进行了反解.先把齐次变换矩阵转以共形几何代数形式表示,在此基础上建立了共形几何代数形式的串联6R机械手运动学方程,再通过线性消元和Dixon结式消元消去5个变元,然后对Dixon结式进一步处理,最后得到1个一元16次方程.这种算法也适用于其他具有16解的7R、1P5R和4R1C等串联机械手位置反解问题,具有一定的通用性.

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