53127 Mt Design Optimization

NR Code.No: 53127/MT M.Tech. I-Semester Regular Examinations, March-2008. DESIGN OPTIMIZATION (CAD/CAM) Time: 3 hours

Max. Marks: 60 Answer any FIVE questions All questions carry equal marks. ---

1.a) b)

What is the difference between design variables and preassigned parameters? What is a design space?

2.

Differentiate genetic algorithm and other traditional methods for optimization.

3.

f ( x ) = 0.65 − ⎡⎣0.75 / 1 + x 2 ⎤⎦ − 0.65 x tan −1 (1/ x ) using the golden section method with n = 6.

4.

Minimize f ( x1 , x2 ) = x1 − x2 + 2 x12 + 2 x1 x2 + x22 with the starting point (0,0)

Minimize

the

(

function

)

using any random search method. 5.

Minimize x1 Subject to

−4 x12 + 4 x2 ≤ 1 x1 + x2 ≥ 1 x1 > 0, x2 > 0 6.

What is the difference between probability density and probability distribution function? Explain with examples.

7.

Explain the procedure for the optimum design of shaft for the maximum power transmission.

8.

Explain the term Transmissibility with examples. function of vibration observer. ###

Explain the