Electromechanical Dynamics (Part 1).0100

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Electromechanical Coupling Note that for an electrically linear system (3.1.59) reduces to Cij = Cji which is the usual form of the reciprocity relation for linear capacitive circuits.* Although the reciprocity conditions must always be satisfied for a con- servative system, they are not often used in the analysis and design of electro- mechanical systems. Their primary usefulness is twofold. First, they provide a rapid check on results to identify certain kinds of mathematical error; and, second, they provide a mathematical framework for identifying the classes of nonlinear functions with which we can approximate the terminal relations of multiterminal-pair, electrically nonlinear, systems. If the reciprocity conditions are not satisfied, the mathematical description will imply sources and/or sinks of energy in the coupling field that can lead to nonphysical results. 3.1.3 Energy Conversion The fact that in lumped-parameter electromechanics we are dealing with lossless coupling systems in which stored energy is a state function (single-
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