Bond Graph Methodology: Development and Analysis of by Wolfgang Borutzky

By Wolfgang Borutzky

Nowadays, engineering structures have gotten more and more advanced and, for layout reasons, has to be regarded as multidisciplinary structures made from elements from various engineering disciplines. with reference to the systematic improvement and the research of versions, interdisciplinary methodologies supported via software program turn into a growing number of very important. Bond graphs are a graphical description formalism relatively suited to multidisciplinary platforms and utilized by modellers around the world.

Bond Graph Methodology offers a finished, in-depth illustration of the cutting-edge, together with fresh effects collected from examine articles, dissertations and contributions by means of the writer on a couple of themes. The based and rigorous presentation systematically covers version improvement, research of types, numerical computation of types and smooth software program that may be used for a bond graph procedure. The ebook additionally encompasses a diversity of case experiences illustrating a variety of purposes of the method and gives a glossary.

Bond Graph Methodology addresses basics, in addition to complex issues, e.g., types of variable constitution, bond graphs for sensitivity research and new release of equations for the research of robustness. The compilation and presentation of the fabric has been encouraged through the author's vast adventure in examine and teaching.

A important textual content for complicated classes in modelling, simulation and regulate, Bond Graph Methodology can be used for self-study. it's been designed to serve readers drawn to the topic of bond graph modelling and people with services in comparable components, in addition to participants of the global neighborhood of bond graph modellers.

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Extra resources for Bond Graph Methodology: Development and Analysis of Multidisciplinary Dynamic System Models

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R .. .. ..... ✒ .. ... ......... ....... ω ✒ M1 ..... ✒ ...... 1 Fig. 19 for the flows due to the rule that power is assumed positive if the bond is directed toward the element. e1 f1 + e2 f2 = e2 (mf1 + f2 ) = 0 38 2 Bond Graph Based Physical Systems Modelling Example: Hydraulic Cylinder In hydraulics or pneumatics, the core function of a cylinder can be represented by an ideal transformer. If the piston has cross section areas A1 and A2 and a translational velocity v, and if Q1 and Q2 denote the inlet and the outlet volume flow, then the velocity of an incompressible fluid reads Q2 Q1 = v = .

Networks are hierarchical in nature. Submodels can have a network structure. • Networks account for energy flows in a system. Circuit nodes connecting pins of submodels comply with power conservation. , charge, are conserved if properly taken into account in the development of submodels. 4) Bond graphs, which will be introduced formally in the next chapter, on the one hand, reflect the physical system structure like networks. On the other hand, a computational structure can be superimposed so that the causally completed bond graph can be considered a concise representation of a block diagram.

9). 9 node 2 is the common ground node, then the 0-junction just represents the voltage of node 1 with respect to ground. In hydraulics, a pipe tee junction can be represented by a 0-junction if dynamic pressures can be neglected with regard to hydrostatic pressures. The reader may notice that the number of ports of a 0-junction is not fixed. 10). 15b indicates that power reference directions correspond to the sign of the flow variables. That is, if a power bond points towards a 0-junction, it is ❡✲ e1 f1 ✉ ✲ 1❥ f2 2❥ ❄ ❡ ✛ ✉ f1 ✻f3 ❡ ✲ e3 Fig.

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