By Herbert H. Woodson

Http://ocw.mit.edu/resources/res-6-003-electromechanical-dynamics-spring-2009/index.htm First released in 1968 by way of John Wiley and Sons, Inc., Electromechanical Dynamicsdiscusses the interplay of electromagnetic fields with media in movement. the topic combines classical mechanics and electromagnetic concept and offers possibilities to improve actual instinct. The publication makes use of examples that emphasize the connections among actual truth and analytical versions. kinds of electromechanical interactions coated contain rotating equipment, plasma dynamics, the electromechanics of organic platforms, and magnetoelasticity.

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Additional resources for Electromechanical Dynamics, Part II: Fields, Forces, and Motion

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Moreover, we neglect fringing at the edges of the air gap; consequently, the flux density will have only an x-component. 16) B, = 0. 6) with v = 0, which we integrate around an arbitrary fixed contour within the conductor. Then by Stokes's theorem we have !. dl = -B . n da. c b t s If B has a finite value just after the switch is opened, the time derivative on the right (assuming that the integral encloses some B field) will be infinite. It follows that (because the contour of integration is arbitrary) the current density J, will be infinite.

J(w - k V)6,; at az that is, co - k V is the frequency of the magnetic flux density for an observer moving with the conducting slab. Hence S is (proportional to) the ratio of the magnetic diffusion time to the period of excitation in the frame of the moving medium. 4 Magnetic Field Diffusion Fig. 19 Distribution of the instantaneous magnitudes of Bz and J, in the moving conducting slab of Fig. 87). Because the phase velocity of the traveling wave is w/k, S is zero when the velocity V of the conductor is equal to the phase velocity of the wave.

In fact, this interaction is the basis for a distributed linear induction machine. ) on the parameter S is shown in Fig. 20. t This maximum exists between low values of S, in which little current is induced in the medium, and large values of S in which the induced currents have the wrong phase relationship with respect to the imposed current sheet to produce maximum force. Compare this discussion and Fig. 20 with Fig. 20 and the associated discussion for an induction machine. There is a direct correspondence between the parameter S used here and the slip s used in the induction-machine analysis.

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