Introduction to Optimum Design phần 3 pptx

... on the optimum solution. xx u 12 3 5 2 =- =- =-, xx u 12 3 5 2 =- = =-, xx u 12 3 1 2 ==- =, xx u 12 3 1 2 == =, xxuf 12 000000 * , * ,* , ,=== () = 23 032 0 12 12 xx xx-=-+=; Optimum Design ... convex. Sh itopg j m ij = () == () £= {} xx x01 01,; ,to Optimum Design Concepts 1 53 140 120 100 80 60 40 20 –20 –40 –60 –80 –100 –120 –140 –160 –5 –4 3 –2 –1 1 234 56 Function...

Ngày tải lên: 13/08/2014, 18:20

... size is always positive. 30 0 INTRODUCTION TO OPTIMUM DESIGN 32 2 INTRODUCTION TO OPTIMUM DESIGN FIGURE 9-7 Iteration history for Example 9.7 with Newton’s method. TABLE 9-2 Optimum Solution for Example ... 2.0000 x 2 3. 9765 3. 9998 3. 9999 f 3. 4564E-05 1.0 239 E-08 2.5054E-10 ||c|| 3. 3 236 E- 03 1.2860E-04 9. 035 7E-04 No. of function 138 , 236 65 34 9 evaluatio...

Ngày tải lên: 13/08/2014, 18:20

... xix 14 INTRODUCTION TO OPTIMUM DESIGN TABLE 1-1 continued To convert from U.S British To SI units Multiply by Volume foot 3 (ft 3 ) meter 3 (m 3 ) 0.02 831 685 inch 3 (in 3 ) meter 3 (m 3 ) 1. 638 706 ... meter 3 (m 3 ) 2.84 130 7 E–05 ounce (U.S. fluid) meter 3 (m 3 ) 2.95 735 3 E–05 pint (U.S. dry) meter 3 (m 3 ) 5.506105 E–04 pint (U.S. liquid) meter...

Ngày tải lên: 13/08/2014, 18:20

... 165 75 28 0 .32 3. Magnesium alloy A261 1800 90 45 16 0 .35 4. Berylium 1850 110 30 0 147 0.02 5. Titanium 4500 165 110 42 0 .30 Torque d i d o l FIGURE E3 -34 Hollow torsion rod. TABLE E3 -34 (A) Rod ... x 1 x 2 subject to x 1 + x 2 2 £ 0 x 2 1 + x 2 2 £ 9 3. 10 Minimize f(x 1 , x 2 ) = 3x 1 + 6x 2 subject to -3x 1 + 3x 2 £ 2 4x 1 + 2x 2 £ 4 -x 1 + 3x 2 ≥ 1 72 INTRODUCTION TO O...

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... x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 b x 3 001-10 -10 12 x 5 000 11 0-100 x 2 010 1 – 3 0 2 – 3 0 - 2 – 3 2 – 3 x 1 100 1 – 3 0 - 1 – 3 0 1 – 3 5 – 3 Cost 0 0 0 5 – 3 0 7 – 3 0 - 7 – 3 f + 13 – 3 the ... 10-100 0 – 1 = 0 x 2 0100- 1 – 3 2 – 3 1 – 3 - 2 – 3 2 – 3 Negative x 1 1000- 1 – 3 - 1 – 3 1 – 3 1 – 3 5 – 3 Negative Cost 0000- 5 – 3 7 – 3...

Ngày tải lên: 13/08/2014, 18:20

... - 13 Second iteration X 2 01 1 – 6 - 1 – 6 00 1 – 6 - 1 – 6 1 – 6 00- 1 – 3 2 – 3 Y 2 00 2 – 3 1 – 3 -10- 10 – 3 10 – 3 - 1 – 3 10 2 – 3 14 – 3 Y 3 00 - 2 – 3 2 – 3 01- 2 – 3 2 – 3 - 2 – 3 01 1 – 3 1 – 3 X 1 10 1 – 2 - 1 – 2 00 1 – 2 - 1 – 2 1 – 2 00 ... Exercise 3. 34 10.69* Exercise 3. 35 10.70* Exercise 3. 36 10.71* Exercise 3. 50 10.72* Exercise 3....

Ngày tải lên: 13/08/2014, 18:20

... 0.00000E+00 2.27873E+01 7.87500E+02 9.9 438 E+00 9.9 438 E+00 1.0000E-01 3 1.25020E-02 1 .31 993E+00 7. 130 63E+02 9.0 133 E+00 9.0 133 E+00 1.0000E-01 4 2.19948E-02 1. 036 43E-01 6.99 734 E+02 7.6 933 E+00 1.0000E+01 ... constraints. 458 INTRODUCTION TO OPTIMUM DESIGN 11 10 9 8 7 6 5 4 3 2 1 0 1 23 Iteration no. Design variable value 456789101112 131 4 FIGURE 13- 5 H...

Ngày tải lên: 13/08/2014, 18:20

... 15.00 1010 1 23 3.750 W36 ¥ 230 67.60 35 .90 0.760 16.470 1.260 15000 837 14.90 940 114 3. 730 W36 ¥ 210 61.80 36 .69 0. 830 12.180 1 .36 0 132 00 719 14.60 411 67.5 2.580 W36 ¥ 194 57.00 36 .49 0.765 ... 3. 830 W36 ¥ 280 82.40 36 .52 0.885 16.595 1.570 18900 1 030 15.10 1200 144 3. 810 W36 ¥ 260 76.50 36 .26 0.840 16.550 1.440 1 730 0 9 53 15.00 1090 132 3. 780 W36 ¥ 245 72.10...

Ngày tải lên: 13/08/2014, 18:20

... 0++-≥ xxx 1 23 60 0++-≥ 07 131 4 33 3 £-+£ = + xx j jj ; to 071414 33 32 £-+£ = +- xx j jj ; to 07 131 4 31 32 £-+£ = +- xx j jj ; to f x Ex x Ex x Ex kkkkkk k x () = () ++- () ++- () () ++++++ = Â 23 10 ... (b i , c i ) (i = 1 to 8) are given as (3. 8112E+00, 3. 4604E- 03) , (2.0567E- 03, 1 .35 14E-05), (1. 034 5E-05, 5. 237 5E-06), (6. 830 6E+00, 6 .30 00E-08), (3. 0...

Ngày tải lên: 13/08/2014, 18:20

... 0 .33 3; for b 3 = 3: -1 £D 3 £ 1. 6.1 13 For b 1 = 5: -2 £D 1 £•; for b 2 =-4: 5 3 1 3 7 3 5 3 2 3 5 3 7 3 5 3 1 3 2 3 7 3 16 3 5 3 2 3 13 3 10 3 2 3 7 3 2 3 5 3 7 3 5 3 65 7 33 7 15 7 1 3 8 3 11 8 9 8 2 3 5 3 690 ... 4.151 18. 43 £ q £ 71.57°. 4.152 q ≥ 71.57°. 4.1 53 No solution. 4.154 q £ 18. 43 . 9 16 11 12 5 3 3 2 p p 2 10 3...

Ngày tải lên: 13/08/2014, 18:20