Electromechanical Dynamics (Part 1).0088

Electromechanical Dynamics (Part 1).0088 -...

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Electromechanical Coupling For this system there will be N electrical terminal relations of the general form vi = vi(ql, q 2 ., .. ,qN; 01, 02, ... OM); i = 1, 2, . .. ,N (3.1.16) and M mechanical terminal relations T,* = Tje(qi, q 2 , - , qN; 01, 02,. .. , OM); i = 1, 2, ... ,M. (3.1.17) As a result of the use of (3.1.16) and (3.1.17), (3.1.15) is expressed as a function of (N + M) independent variables, the N charges and M angles. Thus the stored energy can be written in general as W, = W.(ql,q 2 ... , qN; 01, 0 ... M) (3.1.18) and We can be obtained by integrating (3.1.15) along any convenient path through the (N + M)-dimensional variable space. Further generalization of these ideas to magnetic field systems and transla- tional mechanical terminal pairs is straightforward and is not carried out here (see Table 3.1). Example 3.1.1 illustrates the line integration that has been described. 3.1.2
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This note was uploaded on 02/10/2012 for the course MECE 4371 taught by Professor Liu during the Fall '11 term at University of Houston.

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