The complete pole configuration of a planar n-link mechanism having one instantaneous degree of mobility, possesses (3n−4)/2 independent poles determining (n−2)2/2 remaining poles of the configuration. The dependency is demonstrated through Desargues’ Theorem and her generalizations. Simultaneously, pole configurations have been “elated” into three-dimensional point-lattices intersected by a plane. The insight obtained in these configurations allows the designer to find clues in building overconstrained linkage mechanisms meeting certain geometrical properties.
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Assembling Complete Pole Configurations for (Over)Constrained Planar Mechanisms
E. A. Dijksman
Center for Intelligent Machines and Robotics, University of Florida, Gainesville, FL 32611
Dijksman, E. A. (March 1, 1994). "Assembling Complete Pole Configurations for (Over)Constrained Planar Mechanisms." ASME. J. Mech. Des. March 1994; 116(1): 215–225. https://doi.org/10.1115/1.2919350
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