3-PRS并联机构位置正解分析  

Research on kinematic forward solution for 3-PRS parallel mechanism

作　　者：黄俊杰[1] 赵俊伟[1] 

机构地区：[1]河南理工大学机械与动力工程学院,河南焦作454000

出　　处：《河南理工大学学报（自然科学版）》2012年第4期434-436,452,共4页Journal of Henan Polytechnic University（Natural Science）

基　　金：河南省高校新世纪优秀人才支持计划项目(2006HANCET-16)

摘　　要：根据3-PRS并联机构具有2个转动自由度和1个移动自由度的结构特点,利用封闭矢量方法和简化坐标转换矩阵,得到该机构运动平台中心的运动方程,然后运用遗传算法并结合其运动方程给出并联机构运动学位置正解适应度函数和目标函数,将计算结果代入运动方程求出杆长,其误差小、精度高,为3-PRS并联机构的控制策略奠定了基础.该解法既不需要选取迭代初值,也不需要复杂的数学推导,容易实现而且通用性强.The structure of a 3-PRS parallel mechanism, including two rotation degrees of freedoms （DOFs） and one prismatic DOF, is analyzed. The kinematic equation of a motion platform is given by a closed vector method and a simplified coordinate transfer matrix, and then the kinematic forward solution of this parallel mechanism is optimized by making use of a genetic algorithm object function, which is substituted into the kinematic equation and the length of a linked rod is solved. This approach has a small error and high precision compared with the known connecting rod, and provides a foundation for their control strategies. This method does not select the initial iteration value and does not need a complicated mathematical deduction. The results are satisfactory and the implement is easy. Thusly, it is also suitable for other similar parallel mechanisms.

关 键 词：3-PRS并联机构 运动学正解 遗传算法 MATLAB 

分 类 号：TD712.52[矿业工程—矿井通风与安全]