Solution for Mechanical Measurement & Control

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1 Solution for Mechanical Measurement & Control December-2015 Index Q.1) a). 2-3 b).3-4 c). 5 d). 6 Q.2) a). 7 b). 7 to 9 c) Q.3) a) b) c). 13 Q.4) a) b). 15 (N.A.) Q.5) a). 15 to 18 b). 18 to 21 Q.6) a). 21 (N.A.) b). 21 to

2 Mumbai University Mechanical (Semester V ) Q.1) A) Explain generalised measurement system elements with block diagram. (05) Ans : Block Diagram of Generalised Measurement system Generalised measurement system 2

3 B) Write the different classification of control systems. (05) Ans :- 1)Open Loop System :- 3

4 2)Closed Loop System :- 4

5 C) Write short note on PI controller. (05) Ans :- P-I Controller 5

6 D) Write the working principle of piezoelectric accelerometer. (05) Ans:- Piezoelectric Accelerometer 6

7 Q.2) A) Explain the following terms with respect to the measurement system. (i) Span and Range (ii) Hysteresis (06) Ans :- (i) Span of Range :- (ii) Hysteresis :- B) Illustrate working principle of LVDT for displacement measurement. (06) Ans :- LVDT Device 7

8 8

9 9

10 C) Convert the following state-space system of single input single output system in transfer function { X 1 } = [ -3 2 ] { X 1 } + { 0 } µ (t) y (t) = [1 0] { X1 } { X2 } [ 1 1 ] { X2 } + { 2 } { X2 }. Here X1 and X2 are state-variable, u (t) is a force vector and y (t) being the system response. (08) Ans : N.A. Same Sum :- 10

11 Q.3) A) With a neat sketch explain working of an Operational Amplifier (Op-Amp) Enumerate limitation of the same. (05) Ans:- Operational Amplifier 11

12 B) What are Desired, interfering and modifying input w.r.t. measurement of a system. (05) Ans :- 12

13 C) A unity feedback system has G(s)= k / s(1+s)(1+0.4 s) (a) If r (t) = 4t and k= 2, find steady state error (b) If it is desired to have steady state error to be 0.2 find corresponding value of K. (c) Find steady state error if input is changed to 2+6t, and value of k to 10. (10) 13

14 Q.4) A) What are rosettes? Explain different types and configuration of rosettes. (10) Rosettes :- 14

15 B) The open Loop T.F. of unity feedback is G (s) = k / s(1+ts), for this system overshoot reduce from 0.6 to 0.2 due to change in k only. Show that TK1-1 / TK2-1 =43.33, where k1 and k2 are value of k for 0.6 and 0.2 overshoot respectively. (10) Ans :- N. A. Q.5) A) Sketch Bode plot of assess the stability for the control system having open loop transfer function. G(S)H(S) = 120 / (S + 2) (S + 10) (10) Ans :- N.A. Same Sum :- 15

16 16

17 Step 6 : Phase angle table 17

18 Mumbai University Mechanical (Semester V ) B) With a neat sketch explain the constructional feature and working of (i) Ionization gauge, (ii) Thermistors (10) Ans :- a) Ionization Gauge 18

19 19

20 b) Thermistors :- Measurement of Temperature :- 20

21 Q.6) A) Draw the root-locus of the control system whose open loop transfer function is given by G(S) H(S) = 120 / (S + 2) (S + 10) (10) Ans :- NOT YET B) With a neat sketch explain the constructional feature and working of (i) digital thermometer, (ii) Electromagnetic flow meter. (10) Ans :- (i) Digital Tachometers 21

22 (ii) Electromagnetic flow meter :- 22

23 23

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