MatBase Constraint Sets Coherence and Minimality Enforcement Algorithms

Author(s):  
Christian Mancas
Keyword(s):  
Author(s):  
Xiancheng Lu ◽  
Chuen-Sen Lin

Abstract In this paper, a method has been proposed to group into six sets the infinite number of solutions from dimensional synthesis of planar triads for six precision positions. The proposed method reveals the relationships between the different configurations of the compatibility linkage and the sets of numerical solutions from dimensional synthesis. By checking the determinant signs and the contunities of values of the sub-Jacobian matrices and their derivatives with respect to the independent angular displacement for all constraint sets in the compatibility linkage, it enables the computer to identify and group the synthesized solutions. Numerical examples have been given to verify the applicability of this method. Six sets of the partial triad Burmester curves have been plotted based on grouped solutions. Suitable solutions can be easily found from the partial triad Burmester curves and utilized for the prescribed design task. This method provides a useful tool to group the dimensional synthesis solutions and enhances the computer automation in the design of linkage mechanisms.


Author(s):  
Frank Lenzen ◽  
Florian Becker ◽  
Jan Lellmann ◽  
Stefania Petra ◽  
Christoph Schnörr

Author(s):  
TIMO SOININEN ◽  
JUHA TIIHONEN ◽  
TOMI MÄNNISTÖ ◽  
REIJO SULONEN

This article presents a generalized ontology of product configuration as a step towards a general ontology of configuration, which is needed to reuse and share configuration knowledge. The ontology presented consists of a set of concepts for representing the knowledge on a configuration and the restrictions on possible configurations. The ontology is based on a synthesis of the main approaches to configuration. Earlier approaches are extended with new concepts arising from our practical experience on configurable products. The concepts include components, attributes, resources, ports, contexts, functions, constraints, and relations between these. The main contributions of this work are in the detailed conceptualization of knowledge on product structures and in extending the resource concept with contexts for limiting the availability and use of resources. In addition, constraint sets representing different views on the product are introduced. The ontology is compared with the previous work on configuration. It covers all the principal approaches, that is, connection-based, structure-based, resource-based, and function-based approaches to configuration. The dependencies between the concepts arising from different conceptualizations are briefly analyzed. Several ways in which the ontology could be extended are pointed out.


2014 ◽  
Vol 407 ◽  
pp. 316-357 ◽  
Author(s):  
Russell Miller ◽  
Alexey Ovchinnikov ◽  
Dmitry Trushin

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