TY - JOUR
T1 - A Graph-Theory-Based Method for Topological and Dimensional Representation of Planar Mechanisms as a Computational Tool for Engineering Design
AU - Santiago-Valenten, Eric
AU - Portilla-Flores, Edgar Alfredo
AU - Mezura-Montes, Efren
AU - Vega-Alvarado, Eduardo
AU - Calva-Yanez, Maria Barbara
AU - Pedroza-Villalba, Martin
N1 - Publisher Copyright:
© 2013 IEEE.
PY - 2019
Y1 - 2019
N2 - In this paper, a graph-theory-based approach for representing planar mechanisms is presented, the Santiago Portilla method (SPM). From the corresponding adjacency matrix, SPM generates an extended matrix containing the complete characterization of a planar mechanism, including all the information about both topology and geometry. This matrix representation can be used for the optimal design of mechanisms, allowing simultaneously the topological and dimensional synthesis by means of computational tools such as the metaheuristic algorithms. A case study corresponding to the design of a fixed-linear-trajectory tracker mechanism is included in order to test the efficiency of the proposed approach. It was carried out by addressing the design as an optimization problem and solving it with the differential evolution algorithm, representing the individuals in its population by the matrix form generated by the SPM. The results of the case study show that the SPM and its matrix representation constitute a useful and flexible tool for the solution of the real engineering problems involving the design of planar mechanisms.
AB - In this paper, a graph-theory-based approach for representing planar mechanisms is presented, the Santiago Portilla method (SPM). From the corresponding adjacency matrix, SPM generates an extended matrix containing the complete characterization of a planar mechanism, including all the information about both topology and geometry. This matrix representation can be used for the optimal design of mechanisms, allowing simultaneously the topological and dimensional synthesis by means of computational tools such as the metaheuristic algorithms. A case study corresponding to the design of a fixed-linear-trajectory tracker mechanism is included in order to test the efficiency of the proposed approach. It was carried out by addressing the design as an optimization problem and solving it with the differential evolution algorithm, representing the individuals in its population by the matrix form generated by the SPM. The results of the case study show that the SPM and its matrix representation constitute a useful and flexible tool for the solution of the real engineering problems involving the design of planar mechanisms.
KW - Graph theory
KW - dimensional synthesis
KW - matrix representation
KW - optimization
KW - topological design
UR - http://www.scopus.com/inward/record.url?scp=85058170965&partnerID=8YFLogxK
U2 - 10.1109/ACCESS.2018.2885563
DO - 10.1109/ACCESS.2018.2885563
M3 - Artículo
AN - SCOPUS:85058170965
SN - 2169-3536
VL - 7
SP - 587
EP - 596
JO - IEEE Access
JF - IEEE Access
M1 - 8567881
ER -