Modern Control Engineering
90 Chapter 3 / Mathematical Modeling of Mechanical Systems and Electrical Systems A comparison of the transfer functions shows t ...
Example Problems and Solutions 91 Hence Then the voltages Ei(s)andEo(s)can be obtained as Hence, the transfer function Eo(s)/Ei( ...
92 Chapter 3 / Mathematical Modeling of Mechanical Systems and Electrical Systems A–3–6. Obtain the transfer function of the op- ...
Example Problems and Solutions 93 or (3–39) Since (3–40) by substituting Equation (3–40) into Equation (3–39), we obtain from wh ...
94 Chapter 3 / Mathematical Modeling of Mechanical Systems and Electrical Systems A–3–8. Obtain the transfer function of the ope ...
Example Problems and Solutions 95 A–3–9. Consider the servo system shown in Figure 3–29(a). The motor shown is a servomotor, a d ...
96 Chapter 3 / Mathematical Modeling of Mechanical Systems and Electrical Systems Obtain the transfer function between the motor ...
Problems 97 referred to the motor shaft. When J 0 and are multiplied by 1/n^2 ,the inertia and viscous-friction coefficient are ...
98 Chapter 3 / Mathematical Modeling of Mechanical Systems and Electrical Systems y 1 y 2 u 1 m 2 b 1 u 2 k 2 k 1 m 1 Figure 3–3 ...
Problems 99 B–3–9.Derive the transfer function of the electrical circuit shown in Figure 3–38. Draw a schematic diagram of an an ...
4 100 Mathematical Modeling of Fluid Systems and Thermal Systems 4–1 Introduction This chapter treats mathematical modeling of f ...
Section 4–2 / Liquid-Level Systems 101 4–2 Liquid-Level Systems In analyzing systems involving fluid flow, we find it necessary ...
102 Chapter 4 / Mathematical Modeling of Fluid Systems and Thermal Systems where steady-state liquid flow rate, m^3 sec coeffic ...
Section 4–2 / Liquid-Level Systems 103 Consider the operating condition in the neighborhood of point P. Define a small deviation ...
104 Chapter 4 / Mathematical Modeling of Fluid Systems and Thermal Systems Q+q Tank 1 Tank 2 H 1 +h 1 R 1 H 2 +h 2 R 2 Q+q 2 C 1 ...
Section 4–2 / Liquid-Level Systems 105 It is instructive to obtain Equation (4–7), the transfer function of the interacted syste ...
106 Chapter 4 / Mathematical Modeling of Fluid Systems and Thermal Systems Notice the similarity and difference between the tran ...
Section 4–3 / Pneumatic Systems 107 Resistance R Capacitance C (a) (b) P+pi P+po 0 q q dq DP Slope=R Figure 4–4 d(DP) (a) Schema ...
108 Chapter 4 / Mathematical Modeling of Fluid Systems and Thermal Systems where capacitance, lb-ft^2 lbf mass of gas in vessel ...
Section 4–3 / Pneumatic Systems 109 The capacitance Cis then obtained as (4–12) The capacitance of a given vessel is constant if ...
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