摘要
根据基于方位特征(POC)方程的并联机构拓扑设计理论和方法,分析了一种可实现三平移一转动输出运动的新型低耦合度的非全对称四自由度并联机械手2-RPaRSS,并完成其运动学建模与分析。首先,分析计算出该机构的耦合度(κ=1),给出了基于序单开链(SOC)的机构位置正解的建模方法及其数值解;其次,通过导出机构位置反解及算例,验证了正反解求解的正确性;再次,分析了该机构位置工作空间的形状大小及工作空间Z向各截面形状;然后,对机构的奇异位形进行了分析,得到其发生三类奇异的条件;最后,设计了该机械手样机的三维CAD模型。研究结果表明,2-RPaRSS机械手比H4、I4R、Cross-Ⅳ结构简单,且具有更大的工作空间和更好的动平台转动能力。
By using topological structure synthesis theory and method based on POC equation,a novel4DOF3T1R not fully symmetrical PM2RPaRSS with low coupling degrees was presented.Firstly,the coupling degree of the PM was calculated(κ=1).The modeling method and the numerical solutions for forward position kinematics of the PM were established based on ordered single open chain(SOC)units.Then the correctness of the forward solutions was verified by the inverse solutions and a numerical example.Furthermore,the total shape and size as well as Z section shape of the workspace of the PM were analyzed.Further,the singularity of the PM was also analyzed,and three kinds of singular conditions were obtained.Lastly,the3D model for the prototype of the manipulator was designed.This work shows that2RPaRSS manipulator is simple in structure and the workspace and the rotation ability of moving platform of the PM is larger than that of H4,I4R and CrossⅣ.
作者
沈惠平
邵国为
邓嘉鸣
孟庆梅
杨廷力
SHEN Huiping;SHAO Guowei;DENG Jiaming;MENG Qingmei;YANG Tingli(Research Center for Advanced Mechanism Theory,Changzhou University,Changzhou,Jiangsu,213016)
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2017年第19期2289-2299,共11页
China Mechanical Engineering
基金
国家自然科学基金资助项目(51375062
514755050)
江苏省重点研发计划资助项目(BE2015043)
关键词
非全对称并联机构
方位特征方程
耦合度
三平移一转动
正向位置
not fully symmetrical parallel manipulator(PM)
position and orientation characteristic(POC) equation
coupling degree
three translation and one rotation(3T1R)
forward position solution
