Solving the Input/Output Problem for Planar Mechanisms
- 1 June 1999
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 121 (2), 206-211
- https://doi.org/10.1115/1.2829445
Abstract
This paper presents a method for solving the input/output problem for all planar mechanisms composed of revolute and slider joints. The solution procedure is a modification of the Dixon resultant method, which was developed to solve sets of polynomial equations; in this paper the method is applied to sets of equations which are linear in the sines and cosines of unknown angles. A particular planar multicircuit mechanism is analyzed to illustrate the solution procedure, and implementation details are discussed.Keywords
This publication has 4 references indexed in Scilit:
- A Study of the Solvability of the Position Problem for Multi-Circuit Mechanisms by Way of Example of the Double Butterfly LinkageJournal of Mechanical Design, 1996
- Isotropic Coordinates, Circularity, and Bezout Numbers: Planar Kinematics From a New PerspectivePublished by ASME International ,1996
- Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot ManipulatorsJournal of Mechanical Design, 1995
- On a Form of the Eliminant of Two QuanticsProceedings of the London Mathematical Society, 1908