Research article | Highlight paper |
| 01 Apr 2020
A general method for the determination of the instantaneous screw axes of one-degree-of-freedom spatial mechanisms
Juan Ignacio Valderrama-Rodríguez,José M. Rico,and J. Jesús Cervantes-Sánchez
Juan Ignacio Valderrama-Rodríguez
Mechanical Engineering Department, Engineering Division, Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago km 3.5+1.8, 36885 Salamanca, Gto., México
Mechanical Engineering Department, Engineering Division, Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago km 3.5+1.8, 36885 Salamanca, Gto., México
J. Jesús Cervantes-Sánchez
Mechanical Engineering Department, Engineering Division, Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago km 3.5+1.8, 36885 Salamanca, Gto., México
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The paper presents a general procedure to determine the instantaneous rotation center for planar mechanisms, or its kinematical equivalent in the case of spherical or spatial cases, from the velocity analysis of the mechanism. The procedure is based on the theoretical results of the Lie algebra, se(3), of the Euclidean group, together with the Killing and Klein forms. The paper shows that a previous contribution contains fundamental errors and it was done in order to unify the theory.
The paper presents a general procedure to determine the instantaneous rotation center for planar...