Electromechanical Dynamics (Part 1).0073

# Electromechanical - A-PDF Split DEMO Purchase from www.A-PDF.com to remove the watermark Lumped Electromechanical Elements We represent the torques

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Lumped Electromechanical Elements We represent the torques applied to the node in the -- 0-direction by the passive elements as T, and T,. Reference to (2.2.4) and (2.2.6) shows that these torques can be expressed as T, = K(O - a), (2.2.35) dO T = B dO (2.2.36) dt By use of these expressions with the source and arrow directions in Fig. 2.2.16b (2.2.34) yields the equation of motion dO d 2 0 T(t) - K(O - a) - B - = J . (2.2.37) dt dt 2 Once again, torques acting in the +0-direction "flow" into the node. When the constants are known and T(t) is specified, this differential equation can be used to find the response 0(t). An important point should be made here. In a mechanical system the reference or "ground" is usually considered fixed; this is necessary if any masses are involved. If the reference is fixed and elements are attached to the reference, it implies that forces not usually considered are available to prevent the ground point from moving. The surface of the earth, for example, is often
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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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