GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER-VIII(NEW) EXAMINATION - SUMMER 2019
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Subject Code: 2182605
Subject Name: Rubber Product & Process Computer Aided Design
Date:09/05/2019
Time: 10:30 AM TO 01:00 PM
Total Marks: 70
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Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1 (a) Explain Schematically represent the structure of black box principle. 03
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(b) What do you mean by Design? Give examples of optimization in rubber industries. 04
(c) Minimize the function of f(X) = X*~X+1 by using Newton’s method. 07
OR
Q.2 (a) Write the structure of black box principle. 03
(b) Write the scope of Simulation. 04
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(c) Define the term:-Optimization. How the Simulation differs from optimization? 07
OR
Q.3 (a) Discuss the procedure for solving the optimization problems. 07
(b) Explain feasible region in context of optimization. 03
(c) Analysis of functions for continuity. Are the following functions continuous? 04
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(A) F(x) = 1/x? (B) F(x) = In x. in each case specify the range of x for which f(x) and f*(x) are continuous. 07
OR
Q.4 (a) Maximize the function of f(x) = x?-3x +2 by using Newton’s method. 03
(b) Explain feasible region in context of optimization. 04
(c) Write the scope of optimization. 07
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OR
Q.4 (a) Explain the concept of Fitting models to Data. 03
(b) Write any three basic components of FEA. 04
(c) Based On Least Square Method Fit the Model y=Bo+ Bix to the following data. Where.y.is the measured response and x is the dependent variable. 07
X 0 2 3 4 5 6
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y 0 4 6 8 10 12
OR
Q.5 (a) Discuss effect of population size, number of generations, Cross over probability and mutation probability on performance of GA. 03
(b) Discuss the effect of Rank selection in GA. 04
(c) Explain the theory and working of FEA and discuss basics of FEA for Rubber product design. 07
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OR
Q.5 (a) Write the method of deciding the concavity or convexity of a function. 04
(c) If the optimization problem is to minimize objective function y =4 x; — 3x2 subject to the constraints 07
x1-3 x2<=4
2 x1+4 x2<=15
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- X1+ X2<=6
X1, x2>=0
Find the optimum values of x1 , x2 and y
OR
Q.5 (a) Define the Terms:- (1)Execute (2) Analysis (3) FEA 03
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(b) Discuss the Network Modes of training in ANN. 04
(c) Maximize y=x1+x2-X3, Subject to X1+X2-x3=4, 2x1+x2 <= 5 07
Find the optimum values of x1,x2,x3 and y
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