提出迭代法求解斯图尔特平台正解,自动得唯一可行解。
Forward Kinematics Solution For A General Stewart Platform Through Iteration Based Simulation
- 用逆运动学生成工作空间数据,结合改进的DH参数迭代求解。
- 每种有效位姿仅生成一个可行正解,无需人工验证。
- 适合需要高精度力控的复杂加载材料测试系统。
本文提出一种方法,为通用斯图尔特平台生成可行且唯一的正向运动学解。通过逆运动学获取移动平台的有效工作空间数据及对应执行器长度。对于如斯图尔特平台这类并联机器人,逆运动学易于求解,但正运动学因运动链的闭环结构而复杂,并产生多个解。本研究采用简单迭代算法,结合改进的Denavit-Hartenberg(DH)约定,结果令人满意:对每个有效位姿均生成单一可行正解,且无需人工验证。该解可直接用于后续计算,极大提升效率。该能力对作者实验室开发的六自由度材料测试系统至关重要,该系统旨在通过原位标定斯图尔特-戈夫平台的实际构型,实现增材制造材料在复杂复合载荷下的高精度力控表征。
原文摘要 · Abstract (English)
This paper presents a method to generate feasible, unique forward-kinematic solutions for a general Stewart platform. This is done by using inverse kinematics to obtain valid workspace data and corresponding actuator lengths for the moving platform. For parallel kinematic machines, such as the Stewart Platform, inverse kinematics are straight forward, but the forward kinematics are complex and generates multiple solutions due to the closed loop structure of the kinematic links. In this research, a simple iterative algorithm has been used employing modified Denavit-Hartenberg convention. The outcome is encouraging as this method generates a single feasible forward kinematic solution for each valid pose with the solved DH parameters and unlike earlier forward kinematics solutions, this unique solution does not need to be manually verified. Therefore, the forward kinematic solutions can be used directly for further calculations without the need for manual pose verification. This capability is essential for the six degree of freedom materials testing system developed by the authors in their laboratory. The developed system is aimed at characterizing additively manufactured materials under complex combined multiple loading conditions. The material characterization is done by enabling high precision force control on the moving platform via in situ calibration of the as-built kinematics of the Stewart Gough Platform.
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