Error modeling and sensitivity analysis of a novel 5-degree-of-freedom parallel kinematic machine tool

被引:25
|
作者
Luo, Xuan [1 ,2 ]
Xie, Fugui [1 ,2 ,3 ]
Liu, Xin-Jun [1 ,2 ,3 ]
Li, Jie [4 ]
机构
[1] Tsinghua Univ, State Key Lab Tribol, Beijing 100084, Peoples R China
[2] Tsinghua Univ, Dept Mech Engn, Inst Mfg Engn, Beijing 100084, Peoples R China
[3] Tsinghua Univ, Beijing Key Lab Precis Ultraprecis Mfg Equipments, Beijing, Peoples R China
[4] AVIC Chengdu Aircraft Ind Grp Co Ltd, Chengdu, Sichuan, Peoples R China
基金
中国国家自然科学基金;
关键词
Parallel kinematic machine tool; error modeling; sensitivity analysis; accuracy design; CALIBRATION; ROBOT; COMPENSATION;
D O I
10.1177/0954405418782283
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
5-Degree-of-freedom parallel kinematic machine tools are always attractive in manufacturing industry due to the ability of five-axis machining with high stiffness/mass ratio and flexibility. In this article, error modeling and sensitivity analysis of a novel 5-degree-of-freedom parallel kinematic machine tool are discussed for its accuracy issues. An error modeling method based on screw theory is applied to each limb, and then the error model of the parallel kinematic machine tool is established and the error mapping Jacobian matrix of 53 geometric errors is derived. Considering that geometric errors exert both impacts on value and direction of the end-effector's pose error, a set of sensitivity indices and an easy routine for sensitivity analysis are proposed according to the error mapping Jacobian matrix. On this basis, 10 vital errors and 10 trivial errors are identified over the prescribed workspace. To validate the effects of sensitivity analysis, several numerical simulations of accuracy design are conducted, and three-dimensional model assemblies with relevant geometric errors are established as well. The simulations exhibit maximal -0.10% and 0.34% improvements of the position and orientation errors, respectively, after modifying 10 trivial errors, while minimal 65.56% and 55.17% improvements of the position and orientation errors, respectively, after modifying 10 vital errors. Besides the assembly reveals an output pose error of (0.0134 mm, 0.0020 rad) with only trivial errors, while (2.0338 mm, 0.0048 rad) with only vital errors. In consequence, both results of simulations and assemblies validate the correctness of the sensitivity analysis. Moreover, this procedure can be extended to any other parallel kinematic mechanisms easily.
引用
收藏
页码:1637 / 1652
页数:16
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