Electromechanical Dynamics (Part 1).0056

Electromechanical Dynamics (Part 1).0056 - of motion for...

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Mechanics Table 2.1 Summary of Terminal Variables and Terminal Relations Magnetic field system Electric field system Definition of Terminal Variables Charge qk = pdV Voltage v k = E dl Terminal Conditions dt Ak = 40(i ... iN; geometry) ik = ik(; ... - ~N; geometry) dqk i dt qk = qk(vl " VN ; geometry) Vk = v .(ql " .. qN; geometry) equations. After a review of rigid-body mechanics and a look at some energy considerations, we shall address ourselves to the problem of writing coupled equations of motion for electromechanical systems. 2.2 MECHANICS We now discuss lumped-parameter modeling of the mechanical parts of systems. In essence, we shall consider the basic notions of rigid-body me- chanics, including the forces of electric origin. Just as in circuit theory, there are two steps in the formulation of equations
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Unformatted text preview: of motion for rigid-body mechanical systems. First, we must specify the kinds of elements and their mathematical descriptions. This is analogous to defining terminal relations for circuit elements in circuit theory. Next, we must specify the laws that are used for combining the mathematical descrip-tions of elements into equations of motion. In mechanics these are Newton's second law and the continuity of space (often called geometrical compati-bility) and they are analogous to Kirchhoff's laws in circuit theory. Ak=f B*nda Jak Current i k f JB"'da 2.1.3 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
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