53127 Mt Design Optimization 32

Code No: 53127/MT M.Tech. I-Semester Examinations, February-2007. DESIGN OPTIMIZATION (CAD/CAM) Time: 3 hours

1.a) b)

Max. Marks: 60

Answer any FIVE questions All questions carry equal marks --What is the difference between a constraint surface and a composite constraint surface? What is the difference between a bound point and a free point in the design space?

2.

Explain the concepts of selection, crossover and mutation in relation to genetic algorithm.

3.

Find the minimum of f = λ5 - 5λ3 – 20 λ + 5 using quadratic interpolation method.

4.

Find the dimensions of a rectangular prism type box that has the largest volume when the sum of its length, width and height is limited to maximum value of 60 in. and its length is restricted to a maximum value of 36 in. using the method of transformation variables.

5.

Write the Kuhn Tucker conditions and solve the following problem. Maximize Z = - x12 − x 22 − x32 + 4 x1 + 6 x 2 Subject to

x1 + x 2 ≤ 2 2x1 + 3x2 ≤ 12 x1, x2 ≥ 0

6.

What is the difference between discrete and continuous random variables? Explain with examples.

7.

Explain the procedure for the optimum design of spring for the minimum weight.

8.

Explain how can you model an automobile transmission system as a two degrees of freedom system. ---