Kinematics of the 4-RUU parallel manipulator generator of the Schonflies motion by means of screw theory

被引:7
作者
Gallardo-Alvarado, Jaime [1 ]
Garcia-Murillo, Mario A. [2 ]
Islam, Md. Nazrul [3 ]
Abedinnasab, Mohammad H. [4 ]
机构
[1] Inst Tecnol Celaya, Dept Mech Engn, TecNM, Celaya 38010, Gto, Mexico
[2] Univ Guanajuato, Dept Mech Engn, DICIS, Salamanca 36885, Gto, Mexico
[3] UMS, Fac Engn, Jalan UMS, Kota Kinabalu 88400, Sabah, Malaysia
[4] Rowan Univ, Dept Biomed Engn, Glassboro, NJ 08028 USA
关键词
Parallel manipulator; Schonflies motion; Virtual kinematic chain; Forward kinematics; Screw theory; SINGULARITY ANALYSIS; MECHANISMS;
D O I
10.1007/s12206-017-0941-3
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This work deals with the inverse-forward kinematic analysis of a symmetric parallel manipulator equipped with a rotary actuator generator of three independent translations and one rotation motion. The closure equations of the displacement analysis are easily formulated based on the unknown coordinates of two points embedded in the moving platform. The input-output equations of velocity and acceleration of the robot are systematically obtained through the reciprocal-screw theory. The pseudo-kinematic pairs that connect the limbs to the fixed platform and a passive kinematic chain connected to the robot manipulator eliminate the handling of rank-deficient Jacobian matrices, which is an undisputable advantage from the computational point of view. Furthermore, this strategy allows the use of the Lie algebra se(3) without the inherent restrictions associated with the limited mobility of the robot.
引用
收藏
页码:4925 / 4932
页数:8
相关论文
共 35 条
[1]   Elastodynamic optimization of a 3T1R parallel manipulator [J].
Alessandro, Cammarata ;
Rosario, Sinatra .
MECHANISM AND MACHINE THEORY, 2014, 73 :184-196
[2]   Optimal Dimensioning for Parallel Manipulators: Workspace, Dexterity, and Energy [J].
Altuzarra, Oscar ;
Pinto, C. ;
Sandru, B. ;
Hernandez, A. .
JOURNAL OF MECHANICAL DESIGN, 2011, 133 (04)
[3]   Singularity Conditions of 3T1R Parallel Manipulators With Identical Limb Structures [J].
Amine, Semaan ;
Masouleh, Mehdi Tale ;
Caro, Stephane ;
Wenger, Philippe ;
Gosselin, Clement .
JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME, 2012, 4 (01)
[4]   SINGULARITY ANALYSIS OF THE 4 RUU PARALLEL MANIPULATOR USING GRASSMANN-CAYLEY ALGEBRA [J].
Amine, Semaan ;
Masouleh, Mehdi Tale ;
Caro, Stephane ;
Wenger, Philippe ;
Gosselin, Clement .
TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2011, 35 (04) :515-528
[5]   Kinetostatic design of an innovative Schonflies-motion generator [J].
Angeles, J. ;
Caro, S. ;
Khan, W. ;
Morozov, A. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2006, 220 (07) :935-943
[6]  
Ball R.S., 1900, A Treatise on the Theory of Screws
[7]   Singularity analysis of 3-DOF planar parallel mechanisms via screw theory [J].
Bonev, IA ;
Zlatanov, D ;
Gosselin, CM .
JOURNAL OF MECHANICAL DESIGN, 2003, 125 (03) :573-581
[8]  
Cervantes-Sánchez J. Jesús, 2016, J. appl. res. technol, V14, P9, DOI 10.1016/j.jart.2016.01.004
[9]   Singularity analysis of a four degree-of-freedom parallel manipulator based on an expanded 6 x 6 Jacobian matrix [J].
Choi, Hee-Byoung ;
Ryu, Jeha .
MECHANISM AND MACHINE THEORY, 2012, 57 :51-61
[10]  
Clavel R., 1988, P 18 INT S IND ROB L