Physical System Modelling |
Stephen
Birkett
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Research
Teaching
Music
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Summary. A generalized computational and conceptual framework is being developed for modelling and simulation of discrete (or discretized) multi-domain physical systems. This combinatorial technique reconciles two previously independent engineering methods - linear graphs and bondgraphs. The model is particularly suited to large-scale computational applications and facilitates the interconnection of existing system models. Model structure can be systematically constructed from the interconnection topology of the system components and system equations formulated following various automated procedures. | |||
Articles: | ||||
The Mathematical Foundations of Bondgraphs: | ||||
I - Algebraic theory. J. Franklin Inst. 326(1989): 329-250 | II - Duality. J. Franklin Inst. 326(1989): 691-708 | III - Matroid theory. J. Franklin Inst. 327(1990): 87-108 | IV - Matrix representation and causality. J. Franklin Inst. 327(1990): 109-128 | |
V - Orientation and orthogonality for directed bondgraphs. Preprint (2004). Submitted. | ||||
VI - Causality and regularity for directed bondgraphs. Preprint (2004). Submitted. | ||||
SH Birkett. On the special properties of graphic and co-graphic bondgraphs. J. Franklin Inst. 340(1993): 735-761 |
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