Meeting w4 chapter 2 part 2

Chapter 2 – Analog Control System (cont.) ,[object Object],[object Object]

4. Electrical Elements Modelling

Example – RLC Network ,[object Object],[object Object],[object Object],[object Object]

cont. ,[object Object],Therefore,

Potentiometer ,[object Object],Linear Rotational

Rotational Potentiometer ,[object Object],[object Object],[object Object],[object Object]

Operational Amplifier (Op-Amp)

DC Motor ,[object Object],[object Object]

DC Motor (cont.) ,[object Object],The transfer function (consider TL(t) equals to zero)

Now, writing the mesh equations, Nodal Analysis

5. Mechanical Elements Modelling ,[object Object],[object Object],[object Object],[object Object]

Translation ,[object Object],[object Object]

Translational Mechanical System

Example 1 ,[object Object],[object Object],[object Object],Figure 2.4 a. Free-body diagram of mass, spring, and damper system; b. transformed free-body diagram

cont. ,[object Object],[object Object],[object Object]

Example 2 ,[object Object],[object Object],[object Object],[object Object]

cont. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example 3 ,[object Object],[object Object],[object Object]

cont. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],F=ma K(Xi-Xo) m ƒ

Rotational Mechanical System ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Modelling of Rotational Mechanical System

cont. ,[object Object],[object Object],[object Object],[object Object]

Example 2 ,[object Object],K s Load v a (t) Motor Amplifier Gears Load Handwheel Potentiometer K p Error Detector  i  o e(t) R L  m (t)

cont. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

cont. ,[object Object],[object Object],[object Object],+ - B K t R+Ls  i (s) + - K s n s  o (s) K p V a (s) 1 J 1eq s+B 1eq T L (s) + -

Meeting w4 chapter 2 part 2

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Meeting w4 chapter 2 part 2