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三关节位姿约束单驱动非圆齿轮五杆手指机构研究

Design of 1-DOF Non-circular Gear Five Bar Finger Mechanism with Three Finger Joint Position and Pose Constraints

  • 摘要: 为了克服传统多杆手指机构的不足并且满足更多仿生手指的应用要求,本文提出一种基于三关节位姿约束的单驱动非圆齿轮五杆手指机构设计方法。根据手指实际尺寸以及运动位姿,建立n位姿点约束条件,采用运动学映射理论以及矩阵奇异值分解法求解了满足给定约束条件的铰链点曲线,进一步根据两个驱动输入杆转角关系设计满足位姿点要求的非圆齿轮副,并推导单驱动非圆齿轮五杆手指机构的IO方程。在此基础上,以三关节的5位姿约束条件为例,并根据杆长、误差、铰链点选取范围、非圆齿轮传动等其他约束条件,确立铰链点A和B的可行曲线解域,并最终得到满足全部约束条件的单驱动非圆齿轮五杆手指机构参数,设计了手指机构样机并进行相关试验。该试验样机表明本文提出的设计方法是正确和有效的。

     

    Abstract: In order to overcome the shortcomings of traditional multi bar finger mechanism and meet more requirements of bionic finger at the same time, a design method of one degree of freedom non-circular gear five bar finger mechanism with position and pose points constraints of finger three joints was proposed. According to the actual size and motion position and pose of the finger, constraints of n position and pose points were established. The kinematic mapping theory and matrix singular value decomposition method were used to solve the hinge point curve meeting the requirements of the given constraints. According to the angular relationship between the two driving input rods, a non-circular gear pair meeting the requirements of position and pose points was designed, and the IO equation of one degree of freedom non-circular gear five bar finger mechanism was further deduced. On this basis, taking the five position and pose points constraint of three finger joint as an example, according to the other constraints of rod length, error, selection range of hinge points and non-circular gear transmission, the feasible curve solution domain was established. Finally, a one degree of freedom non-circular gear five bar finger mechanism parameters meeting all conditions was obtained, a finger mechanism prototype was developed and relevant tests were carried out. The experimental prototype showed that the design method proposed was correct and effective.

     

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