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The Automatic Generation of a Mathematical Model for Machinery Systems
30
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0
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1973
Year
EngineeringIndustrial EngineeringMachine ElementsModeling MethodComplex SystemsControl SystemsSystem DynamicSystems EngineeringModeling And SimulationSystems AnalysisMachine SystemsAutomatic GenerationMechanical ModelingComplex ModelingSystem IdentificationMechanical SystemControl System EngineeringGraph TheoryAutomationMechanical SystemsProcess ControlBusinessMechanical AutomationModel Analysis
Graph theory developed for electrical networks is applied to machinery system modeling. The paper explains a technique for automatically generating mathematical models of machinery systems. The method begins with limited input data, identifies ground‑to‑mass paths, independent loops, and force‑effect paths, and then applies Lagrange’s equations to construct the mechanical model. The described techniques have been successfully implemented in the general‑purpose program DAMN.
This paper presents a detailed explanation of a technique for automatically generating a mathematical model for machinery systems. The process starts from a relatively small amount of input data and develops the information required to model a mechanical system with Lagrange’s equation. The technique uses elements of graph theory which were developed for electrical networks. The basic identifications required for mechanical systems are: paths from ground to mass centers, the independent loops of parts, if any, and paths associated with applied force effects. The techniques described in this paper have been used successfully in a generalized computer program, DAMN.