Using Force/Torque Balance Equations and CAD Variable Geometric Approach for Solving Active Force and Passive Force of a 3UPU-I Spatial Parallel Manipulator

Article Preview

Abstract:

A CAD variation geometry approach and force/torque balance equations are proposed for solving active force and passive force of a 3-dof 3UPU-Ⅰspatial parallel manipulator. Some common math foundations, computer variation geometry techniques, and definitions are presented for designing F/T (force/torque) simulation mechanism based on simulation mechanism of the parallel manipulator. A force Jacobian matrix equation Gf can be derived from the balance equations of the manipulator, when modify the driving dimensions of active limbs, the configuration of the F/T simulation mechanisms are varied correspondingly, and a Matlab program is compiled for solving the active force and passive force the active forces.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

139-143

Citation:

Online since:

July 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] D. Stewart, A platform with six degrees of freedom, Proc. Inst. Mech. Eng. Part Ⅰ, 1965, 180(15): 371-386.

Google Scholar

[2] K.H. Hunt, Structural kinematics of in-parallel actuated robot arms, Trans. ASME J. Mech. Trans. Automat. Des, 1983, 105(4): 705-712.

DOI: 10.1115/1.3258540

Google Scholar

[3] S. Zhang, U. Heisel, Parallel Machine Tool, Press of Machinery Industry, Beijing, China, (2003).

Google Scholar

[4] Z. Huang, Q.C. Li, General methodology for type synthesis of lower-mobility symmetrical parallel manipulators and several novel manipulators, Int. J. Robot. Res. 2002, 21(2): 131-145.

DOI: 10.1177/027836402760475342

Google Scholar

[5] Z. Huang, L.F. Kong, Y.F. Fang, Theory of parallel Robot Mechanism and Control, Press of Machinery Industry, Beijing, China, (1997).

Google Scholar

[6] Z. Huang, J. Wang, Identification of principal screws of 3-DOF parallel manipulators by quadric degeneration, J. Mech. Mach. Theory, 2001, 36(8): 893-911.

DOI: 10.1016/s0094-114x(01)00036-2

Google Scholar

[7] S.C. Wang, Hiromitsu Hikita, Hiroshi Kubo, Kinematics and dynamics of 6 degree-of-freedom fully parallel manipulator with elastic joints, Mech. Mach. Theory, 2003(38): 439-461.

DOI: 10.1016/s0094-114x(02)00132-5

Google Scholar

[8] C.M. Gosselin, On the direct kinematics of spherical 3-DOF parallel manipulators, Int. J. Robot. Res. 1993, 12(4): 394-402.

Google Scholar

[9] Yi Lu. Kinematic analysis of plane mechanism with multiple-Dof by applying computer aided geometric techniques. China Mechanical Engineering, 2003, 14(16): 1360-1365. (in Chinese).

Google Scholar

[10] Yi Lu. Kinematic analysis of constraint and dimension driven planar mechanism. Journal of computer-aided design &computer graphics, 2002, 14(10): 972-976.

Google Scholar

[11] Lu Y. Using CAD functionalities for the kinematics analysis of spatial parallel manipulators with 3-, 4-, 5-, 6- linearly driven limbs. Mech. Mach. Theory, 2004, 39(1): 41-60.

DOI: 10.1016/s0094-114x(03)00103-4

Google Scholar

[12] Lu Y. Using CAD variation geometry for solving velocity and acceleration of parallel manipulators with 3-, 4-, 5- linearly driving limbs. ASME J. Mech. Des., 2006, 128(4): 738-746.

DOI: 10.1115/1.2202147

Google Scholar