Electromechanical Dynamics (Part 1).0072

Electromechanical Dynamics (Part 1).0072 - n torques...

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Markus Zahn 2.2.2 Mechanics 51 We can generalize (2.2.31) to describe any mechanical node with mass M and displacement x and with n forces applied by sources and passive elements. d 2 X X fi = M (2.2.33) i=1 dt " We must exercise caution to include the correct sign on each force in the summation. In a rotational system the nodes have moments of inertia; thus the summa- tion of torques applied to a node must equal the acceleration torque of the moment of inertia associated with the node. For a node with
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Unformatted text preview: n torques applied the expression is d 2 ST = J . (2.2.34) c=1 dt " Once again care must be exercised in attaching the correct sign to each torque in the summation. As an example of the application of (2.2.34), consider the rotational system in Fig. 2.2.16a for which the mechanical circuit is shown in Fig. 2.2.16b. Reference Fig. 2.2.16 Rotational mechanical system: (a) system; (b) mechanical circuit. "I, A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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