Kinematic and dynamic analysis of a novel parallel kinematic Schonflies motion generator

被引:14
作者
Arian, Alaleh [1 ]
Isaksson, Mats [1 ]
Gosselin, Clement [2 ]
机构
[1] Swinburne Univ Technol, Dept Mech Engn & Prod Design Engn, Hawthorn Campus, Hawthorn, Vic 3122, Australia
[2] Univ Laval, Dept Mech Engn, Quebec City, PQ G1V 0A6, Canada
关键词
Schonflies motion; Kinematic; Dynamic model; Virtual work; Simscape Multibody; INVERSE DYNAMICS; SINGULARITY ANALYSIS; STEWART PLATFORM; MANIPULATOR; WORKSPACE; MECHANISMS; DESIGN; ROBOT; PRINCIPLE; EQUATIONS;
D O I
10.1016/j.mechmachtheory.2019.103629
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper analyses the kinematics and dynamics of an over-constrained parallel mechanism with four degrees of freedom providing Schonflies motion with infinite tool rotation. Despite its limited motion capability in one translational degree of freedom, the proposed mechanism has several potential uses, such as assembly of electronic components or fabric cutting. Firstly, the instantaneous kinematic problem of the investigated mechanism is presented, which includes formulating the inverse kinematics for the position, velocity and acceleration of the mechanism. Then, singular configurations of the manipulator are studied, based on the obtained Jacobin matrices. Secondly, based on the foregoing kinematic relations and the concept of link Jacobian matrices, the dynamic model is formulated by means of the principle of virtual work. Finally, the correctness of the derived models is verified by comparing the results obtained from the formulated models with those obtained using MATLAB Simscape Multibody. (C) 2019 Elsevier Ltd. All rights reserved.
引用
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页数:14
相关论文
共 52 条
[1]   Inverse dynamic modelling of a three-legged six-degree-of-freedom parallel mechanism [J].
Abeywardena, Sajeeva ;
Chen, Chao .
MULTIBODY SYSTEM DYNAMICS, 2017, 41 (01) :1-24
[2]  
Angeles J., 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065), P2370, DOI 10.1109/ROBOT.2000.846381
[3]   THE FORMULATION OF DYNAMICAL EQUATIONS OF HOLONOMIC MECHANICAL SYSTEMS USING A NATURAL ORTHOGONAL COMPLEMENT [J].
ANGELES, J ;
LEE, SK .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (01) :243-244
[4]  
[Anonymous], 1999, Robot analysis: the mechanics of serial and parallel manipulatiors
[5]  
[Anonymous], 2002, Fundamentals of robotic mechanical systems, Volume
[6]   Kinematic and dynamic analysis of the Gantry-Tau, a 3-DoF translational parallel manipulator [J].
Arian, Alaleh ;
Danaei, Behzad ;
Abdi, Hamid ;
Nahavandi, Saeid .
APPLIED MATHEMATICAL MODELLING, 2017, 51 :217-231
[7]  
Azmoun M, 2017, 2017 IEEE 4TH INTERNATIONAL CONFERENCE ON KNOWLEDGE-BASED ENGINEERING AND INNOVATION (KBEI), P1006, DOI 10.1109/KBEI.2017.8324945
[8]   An Inverse Dynamic Model of Over-Constrained Parallel Kinematic Machine Based on Newton-Euler Formulation [J].
Bi, Z. M. ;
Kang, Bongsu .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2014, 136 (04)
[9]   Dynamic model of an overconstrained PKM with compliances: The Tripteor X7 [J].
Bonnemains, T. ;
Chanal, H. ;
Bouzgarrou, B. C. ;
Ray, P. .
ROBOTICS AND COMPUTER-INTEGRATED MANUFACTURING, 2013, 29 (01) :180-191
[10]   Configuration and singularity analysis of a parallel hip joint simulator based on the forward kinematics [J].
Cheng, Gang ;
Li, Yang ;
Lodewijks, Gabriel ;
Pang, Yusong ;
Shan, Xianlei .
APPLIED MATHEMATICAL MODELLING, 2016, 40 (15-16) :7281-7292