Electromechanical Dynamics (Part 1).0071

Electromechanical Dynamics (Part 1).0071 -...

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50 Lumped Electromechanical Elements SFixed t: 1 flt) KI 11 1B fi f3 Mass M f2 f(t) (b) (C) Fig. 2.2.15 System showing forces at a node: (a) system; (b) free body diagram of mass M; (c) circuit. Newton's second law (2.2.10) requires that the algebraicsum of allforces applied to a node in the positive x-direction must equal the accelerationforce for the mass of the node. For the example in Fig. 2.2.15 this requires that f(t) - fi - S -f3 M . (2.2.31) dt 2 Note that forces acting in the +x-direction
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Unformatted text preview: "flow" into the node in Fig. 2.2.15c. Substitution from (2.2.28) through (2.2.30) into (2.2.31) yields the differential equation dx d 2 x f(t) -K 1 (x -11) -K 2 (x -12) -B = M -. (2.2.32) dt dt 2 Thus, if the system constants are known andf(t) is specified, this differential equation can be solved to find x(t); (2.2.32) is the equation of motion for the system in Fig. 2.2.15. A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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