NDLI: An automated method for type synthesis of planar linkages based on a constrained subgraph isomorphism detection

Content Provider	Springer Nature Link
Author	Pucheta, Martín Cardona, Alberto
Copyright Year	2007
Abstract	We present a method to enumerate and codify all non-isomorphic solutions, for the problem of synthesizing the type of single-DOF linkage mechanisms that satisfy structural requirements for a given kinematic problem. The method is based on the construction of an “initial graph” taking into account prescribed parts (such as fixations, moving bodies, joints and their interconnections) and the kinematic constraints imposed on them. This initial graph containing structural characteristics of the problem is used as a pattern to search inside a selected atlas of one-DOF mechanism also represented by graphs. A new graph-matrix representation of mechanisms and a mechanism identifier based on the degree code concept was developed to avoid isomorphic occurrences of the initial graph inside each mechanism of the atlas. The same tools were used to enumerate various atlases specialized in a non-isomorphic way from basic kinematic chains. This enumeration takes into account different types of links (rigid, flexible) and joints (revolute, prismatic, flexible, clamped), and proper restrictions were designed to avoid kinematically invalid topologies. The methodology is illustrated with examples for several kinematic tasks.
Starting Page	233
Ending Page	258
Page Count	26
File Format	PDF
ISSN	13845640
Journal	Multibody System Dynamics
Volume Number	18
Issue Number	2
e-ISSN	1573272X
Language	English
Publisher	Springer Netherlands
Publisher Date	2007-07-19
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linkage mechanisms Type synthesis Combinatorial analysis Graph theory Sub-graph search Graph isomorphism Degree code Automotive and Aerospace Engineering, Traffic Mechanical Engineering Electronic and Computer Engineering Optimization Vibration, Dynamical Systems, Control
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Mechanical Engineering Aerospace Engineering Modeling and Simulation Computer Science Applications

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