Graph-based structural analysis of planar mechanisms
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Kinematic structure of planar mechanisms addresses the study of attributes determined exclusively by the joining pattern among the links forming a mechanism. The system group classification is central to the kinematic structure and consists of determining a sequence of kinematically and statically independent-simple chains which represent a modular basis for the kinematics and force analysis of the mechanism. This article presents a novel graph-based algorithm for structural analysis of planar mechanisms with closed-loop kinematic structure which determines a sequence of modules (Assur groups) representing the topology of the mechanism. The computational complexity analysis and proof of correctness of the implemented algorithm are provided. A case study is presented to illustrate the results of the devised method.
KeywordsGraph Kinematic structure Assur group Structural analysis System group classification
The authors wish to acknowledge the technical support by Ing. Ricardo Serrano Salazar during the algorithm’s implementation. Financial support for this work was provided by the Colombian Administrative Department of Science, Technology and Innovation (COLCIENCIAS), and the Colombian National Service of Learning (SENA), Grant 1216-479-22001. The authors gratefully acknowledge this support.