A Computer Implementation of the Position Solution of Planar Linkages using Vector Loop Decomposition
Abstract
A general closed-form approach to the solution of loop equations of planar n-bar linkages is presented. Each loop of a set of canonical independent loops is decomposed to a set of vectors. Several common combinations of revolute and prismatic joints are defined. By evaluating the types of joints at each end of a vector, the magnitude and direction of the vector are determined to be known constants or unknown variables. This leads to an identification of the number of unknowns and the distribution of unknowns in the loop. This identification allows the unknowns to be found by matching the situation to one of the unique, closed-form cases for a solvable loop. A computer software application has been developed and is analyzed for efficiency.
Recommended Citation
C. A. Kahler et al., "A Computer Implementation of the Position Solution of Planar Linkages using Vector Loop Decomposition," Proceedings of the ASME Design Engineering Technical Conference, vol. 1B thru 1998, article no. 5921, American Society of Mechanical Engineers, Jan 1998.
The definitive version is available at https://doi.org/10.1115/DETC98/MECH-5921
Department(s)
Mechanical and Aerospace Engineering
International Standard Book Number (ISBN)
978-079188031-9
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Society of Mechanical Engineers, All rights reserved.
Publication Date
01 Jan 1998