Reduction of models of large scale lumped structures using normal modes and bond graphs |
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Authors: | DL Margolis GE Young |
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Institution: | Department of Mechanical Engineering, University of California, Davis, California 95616, USA |
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Abstract: | Bond graphs are an extremely useful modeling procedure for representing the actual energy exchange mechanisms of interacting dynamic systems. Governing state equations are straightforwardly obtained from the bond graph; however, for large structures, a restrictively large number of equations can result. A procedure is developed whereby the original equations are reduced to a form suitable for modal decomposition. The resulting modes are reinterpreted in bond graph form with the resulting model being an extremely accurate system representation while requiring only a fraction of the original number of equations. The procedure is demonstrated through example. |
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