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MECH 466 - Lecture4-ModellingofElectricalandMechanicalSystems-2009W

quarter car model obtain a transfer function quarter

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Unformatted text preview: ro ICs y(t) y(t) M2 B Ks M1 Block diagram X2 F G2 X1 Answer x (t) Kw G1 Road surface G3 2008/09 MECH466 : Automatic Control 21 Rotational mechanical elements Moment of inertia Rotational spring 2008/09 MECH466 : Automatic Control 22 Torsional pendulum system Friction torque K B friction between bob and air K J J rotation angle B Newton’s law Newton’ By Laplace transform (with zero ICs), By (2nd order system) 2008/09 MECH466 : Automatic Control 23 2008/09 MECH466 : Automatic Control 24 6 Example Example (cont’d) From second equation: From (2nd order system) From first equation: From By Newton’s law By Newton’ (4th order system) By Laplace transform (with zero ICs), By Block diagram 2008/09 MECH466 : Automatic Control 25 2008/09 Rigid satellite G2 G1 MECH466 : Automatic Control 26 Summary & Exercises Modeling Modeling Modeling is an important task! Modeling Mathematical model Mathematical Transfer function Transfer Modeling of electrical & mechanical systems Modeling Thrustor • Broadcasting • Weather forecast • Communication • GPS, etc. 2008/09 Next, modeling of electromechanical systems Next, Exercises Exercises Read Sections 2.3-2.6. Read 2.3Solve PROBLEMS 16,17,21,23,24,30,31 at the end of Solve Chapter 2. Double integrator MECH466 : Automatic Control 27 2008/09 MECH466 : Automatic Control 28 7...
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