Abstract.
When representing the elements of different engineering systems as vertices and edges of a mathematical graph, the well-formedness of the topology of the graph, and hence the topology of the engineering system, can be explicitly computed. This enables checking the well-formedness of the engineering system before investing the effort needed for a complete analysis. This method is demonstrated in the paper for the following fields: trusses, dynamic mass-spring-damper oscillator systems and planetary gear systems. The approach facilitates achieving rapid design, correct first time, which is an important aim of modern design computation.
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Shai, O., Preiss, K. Isomorphic Representations and Well-Formedness of Engineering Systems. EWC 15, 303–314 (1999). https://doi.org/10.1007/s003660050025
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DOI: https://doi.org/10.1007/s003660050025