Mathematical modelling of linear motion error for Hexarot parallel manipulators

被引：31

作者：

Pedrammehr, Siamak ^{[1
]}

Qazani, Mohammad Reza Chalak ^{[1
]}

Abdi, Hamid ^{[1
]}

Nahavandi, Saeid ^{[1
]}

机构：

[1] Deakin Univ, Ctr Intelligent Syst Res, Waurn Ponds, Vic 3217, Australia

来源：

APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 02期

关键词：

Parallel manipulator; Hexarot; Kinematics; Trajectory-planning; Nonlinear error; Curvature; MACHINE-TOOL; HEXAPOD TABLE; STEWART; VIBRATION;

D O I：

10.1016/j.apm.2015.07.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Hexarot is a robotic manipulator that belongs to the family of axis symmetric parallel mechanisms. The robot is able to move the robot platform or tool center point in six degrees of freedom (DOF). This paper presents the kinematics model of the robot including the inverse and forward kinematics, and its time derivatives. Then using the kinematics formulations, investigation of the nonlinear motion of the Hexarot robot for a desired linear motion path is performed. For this purpose, the concept of curvature of the robot path is used for measuring the nonlinearity of the actual motion of the robot. The nonlinear motion error of the robot is analyzed for the scenario where the platform moves on a linear path between two arbitrary points of the robot workspace. The effects of different parameters on the nonlinear motion error of the mechanism are demonstrated and strategies for motions with low error values are proposed. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：942 / 954

页数：13

共 35 条

[1]

Afroun M, 2006, MED C CONTR AUTOMAT, P179

[2]

Afroun M., 2008, IEEE 16 MED C CONTR

[3] A Joint-Space Parametric Formulation for the Vibrations of Symmetric Gough-Stewart Platforms [J].

Afzali-Far, Behrouz ;

Lidstroem, Per .

PROGRESS IN SYSTEMS ENGINEERING, 2015, 366 :323-329

[4] Parametric damped vibrations of Gough-Stewart platforms for symmetric configurations [J].

Afzali-Far, Behrouz ;

Lidstrom, Per ;

Nilsson, Kristina .

MECHANISM AND MACHINE THEORY, 2014, 80 :52-69

[5]

Agheli M., 2009, World Academy of Science, Engineering and Technology, V52, P380

[6]

[Anonymous], 2000, THESIS

[7]

BATES DM, 1980, J ROY STAT SOC B MET, V42, P1

[8]

BEALE EML, 1960, J ROY STAT SOC B, V22, P41

[9]

BOX MJ, 1971, J ROY STAT SOC B, V33, P171

[10] A Newton-Euler formulation for the inverse dynamics of the stewart platform manipulator [J].

Dasgupta, B ;

Mruthyunjaya, TS .

MECHANISM AND MACHINE THEORY, 1998, 33 (08) :1135-1152

← 1 2 3 4 →