Introduction to Optimum Design phần 10 ppsx

... 7.999771). Chapter 10 Numerical Methods for Constrained Optimum Design 10. 29 x* = ( , ), u* = 1, f* = 0.5. 10. 30 x* = (1, 1), u* = 0, f* = 0. 10. 31 x* = (, ), u* = , f* = . 10. 32 x* = (2, 1), u* = 0, f* =-3. 10. 33 ... objective, 552 Pareto fitness, 554 plotting, 61–62 utility, 551 Chapter 12 Introduction to Optimum Design with MATLAB 12.1 For l = 0.5m, T o = 10kN◊m, T m...

Ngày tải lên: 13/08/2014, 18:20

... 1972) minimize fxxxxxxxx () =- + Ê Ë ˆ ¯ ++-+ () 421 1 3 44 1 2 1 4 1 2 12 2 2 2 2 . 588 INTRODUCTION TO OPTIMUM DESIGN A .10 A couple deposits $100 0 in a bank at the end of every month for the next 12 months (one ... 1981) minimize subject to 18 .10 (Hock and Schittkowski, 1981) minimize subject to xxx 13 14 15 105 0++- ≥ xxx 10 11 12 85 0++-≥ xxx 789 70 0++-≥ xxx 456 50 0+...

Ngày tải lên: 13/08/2014, 18:20

... Contents Preface ix Chapter 1 Introduction to Design 1 1.1 The Design Process 2 1.2 Engineering Design versus Engineering Analysis 4 1.3 Conventional versus Optimum Design Process 4 1.4 Optimum Design versus ... the vector x. To summarize, the following considerations should be given in identifying design variables for a problem. 16 INTRODUCTION TO OPTIMUM DESIGN...

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... of a design problem may not be linear, in which case curves must be plotted to identify the feasible region, and contours or iso-cost curves must be drawn to identify the optimum design. To plot ... as Plotg4=ContourPlot[g4,{x1,-1,25},{x2,-1,25}, ContourShadingÆFalse, ContoursÆ{0,.35}, ContourStyleÆ{{Thickness[.01]}, {GrayLevel[.8],Thickness[.02]}}, DisplayFunctionÆIdentity]; 62...

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... 40 (100 ) or f* = 10, 250cm 3 . The us u g s s i to ii i i i i =≥+=≥ =00 00 14 22 ,, ,; ∂ ∂ =- ¥ () -= L A lu A u 2 22 6 2 2 4 16 10 0 . ∂ ∂ =- ¥ () -= L A lu A u 1 11 6 1 2 3 20 10 0 . Optimum Design ... m i i j j x0,0 x0,0* * ; * * ;1 1to and to 144 INTRODUCTION TO OPTIMUM DESIGN 4.51 Consider the following problem with equality constraints: Minimize (x 1 - 1) 2 + (x 2...

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... 18 x 1 , x 2 ≥ 0 6.67 Maximize z = x 1 + 4x 2 subject to x 1 + 2x 2 £ 5 2x 1 + x 2 = 4 254 INTRODUCTION TO OPTIMUM DESIGN 232 INTRODUCTION TO OPTIMUM DESIGN 1. For 2x 1 + x 2 £ 9: y 1 = 1.6 (c¢ 3 in ... identified to be replaced with x 1 in the basic set. BasicØ x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 b Ratio x 3 1 210 00005 5 – 1 = 5 x 4 2101 00004 4 – 2 = 2 x 7 2100 -101 04 4...

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... is always positive. 300 INTRODUCTION TO OPTIMUM DESIGN 322 INTRODUCTION TO OPTIMUM DESIGN FIGURE 9-7 Iteration history for Example 9.7 with Newton’s method. TABLE 9-2 Optimum Solution for Example ... called the DFP (Davidon-Fletcher- Powell) method: 324 INTRODUCTION TO OPTIMUM DESIGN 290 INTRODUCTION TO OPTIMUM DESIGN In general, we continue to evaluate the...

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... point w = 10m, d = 10m, h = 4m. 10. 53 Exercise 2.14 at the point P 1 = 2 and P 2 = 1. 376 INTRODUCTION TO OPTIMUM DESIGN

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... constraints. 458 INTRODUCTION TO OPTIMUM DESIGN 11 10 9 8 7 6 5 4 3 2 1 0 123 Iteration no. Design variable value 45678 9101 1121314 FIGURE 13-5 History of design variables for the spring design ... point. 9. The designer should be able to request a constraint correction at any iteration. 10. The designer should be able to request a constant cost step. 11. The d...

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... of designs for new generation (reproduction). x 1 = 101 110 | 100 1 x 2 = = 0101 00 | 101 1 (A) Designs selected for crossover (parent chromosomes) x 1' = 101 110 | 101 1 x 2' = = 0101 00 | 100 1 (B) ... OPTIMUM DESIGN x 1 = 101 | 1101 | 001 x 2 = 010 | 100 1 | 011 (A) Designs selected for crossover (parent chromosomes) x 1’ = 101 | 100 1 | 001 x 2’ = 01...

Ngày tải lên: 13/08/2014, 18:20