Preface |
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xi | |
Author |
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xv | |
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1 | (12) |
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1 | (1) |
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1.2 Hard computing and soft computing methods |
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2 | (2) |
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1.3 Mathematically based engineering problem-solving methodology |
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4 | (1) |
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1.4 Problem-solving in nature |
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5 | (2) |
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1.5 Direct and inverse engineering problems |
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7 | (4) |
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1.6 Order and reduction in disorder |
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11 | (1) |
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1.7 Summary and discussion |
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11 | (2) |
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13 | (30) |
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13 | (1) |
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13 | (4) |
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2.3 General remarks on neural networks |
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17 | (3) |
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2.3.1 Connecting artificial neurons in a neural network |
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18 | (2) |
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20 | (4) |
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2.4.1 Linearly separable classification problems |
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21 | (1) |
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2.4.2 Nonlinearly separable classification problems |
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22 | (2) |
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2.5 Multilayer feedforward neural networks |
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24 | (3) |
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2.5.1 A Notation for multilayer feedforward neural networks |
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26 | (1) |
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2.6 Training of multilayer feedforward neural networks |
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27 | (7) |
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2.6.1 Supervised learning |
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27 | (1) |
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28 | (2) |
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2.6.3 Discussion of backpropagation |
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30 | (1) |
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2.6.3.1 Updating of connection weights |
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30 | (2) |
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2.6.4 Training and retraining |
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32 | (2) |
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2.7 How many hidden layers? |
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34 | (1) |
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2.8 Adaptive neural network architecture |
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34 | (2) |
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2.9 Overtraining of neural networks |
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36 | (3) |
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2.10 Neural networks as dynamical systems; Hopfield nets |
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39 | (2) |
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41 | (2) |
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3 Neural networks in computational mechanics |
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43 | (30) |
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43 | (1) |
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3.2 Neural networks in modeling constitutive behavior of material |
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44 | (1) |
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3.3 Nested structure in engineering data |
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45 | (7) |
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45 | (1) |
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3.3.2 Nested structure in training data |
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45 | (2) |
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3.3.3 Nested structure in constitutive behavior of materials |
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47 | (5) |
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3.4 Nested adaptive neural networks |
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52 | (2) |
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3.5 Path dependence and hysteresis in constitutive behavior of materials |
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54 | (2) |
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3.6 Case studies of application of nested adaptive neural networks in material modeling |
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56 | (8) |
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3.6.1 Uniaxial cyclic behavior of plain concrete |
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56 | (3) |
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3.6.2 Constitutive model of sand in triaxial state |
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59 | (5) |
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3.7 Modeling of hysteretic behavior of materials |
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64 | (1) |
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3.8 Acquisition of training data for neural network material models |
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65 | (2) |
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3.9 Nonlinear finite-element analysis with neural networks constitutive models |
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67 | (4) |
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3.10 Transition from mathematical models to information contained in data |
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71 | (2) |
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4 Inverse problems in engineering |
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73 | (30) |
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4.1 Forward and inverse problems |
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73 | (1) |
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4.2 Inverse problems in engineering |
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73 | (2) |
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4.3 Inverse problems in nature |
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75 | (2) |
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4.4 Neural networks in forward and inverse problems |
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77 | (1) |
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78 | (7) |
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4.6 Role of precision, universality, and uniqueness |
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85 | (1) |
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85 | (1) |
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4.6.2 Learning from forward problems |
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85 | (1) |
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4.6.3 Learning from a set of forward problems |
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86 | (1) |
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4.7 Universal and locally admissible solutions |
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86 | (2) |
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4.8 Inverse problem of generating artificial earthquake accelerograms |
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88 | (8) |
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88 | (1) |
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89 | (1) |
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4.8.3 Neural network approach |
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90 | (4) |
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94 | (2) |
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4.9 Emulator neural networks and neurocontrollers |
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96 | (5) |
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4.10 Summary and discussion |
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101 | (2) |
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5 Autoprogressive algorithm and self-learning simulation |
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103 | (34) |
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5.1 Neural network models of components of a system |
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103 | (1) |
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5.2 Autoprogressive algorithm |
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104 | (3) |
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5.3 Autoprogressive algorithm in computational mechanics |
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107 | (6) |
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5.3.1 Neural network constitutive models of material behavior |
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107 | (1) |
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5.3.2 Training of neural network material models from structural tests |
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108 | (2) |
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110 | (1) |
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111 | (1) |
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5.3.2.3 Retraining phase of the autoprogressive algorithm |
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112 | (1) |
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5.3.2.4 Convergence of iterations |
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113 | (1) |
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5.3.2.5 Multiple load passes |
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113 | (1) |
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113 | (5) |
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5.5 Autoprogressive algorithm applied to composite materials |
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118 | (4) |
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5.5.1 Laminated composite materials |
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118 | (1) |
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5.5.2 Test setup and specimen |
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119 | (1) |
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5.5.3 Finite-element model of the specimen |
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119 | (2) |
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5.5.4 Elastic pretraining |
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121 | (1) |
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5.5.5 Autoprogressive algorithm training |
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121 | (1) |
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5.6 Nonuniform material tests in geomechanics |
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122 | (5) |
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5.7 Autoprogressive training of rate-dependent material behavior |
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127 | (4) |
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5.8 Autoprogressive algorithm in biomedicine |
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131 | (1) |
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5.9 Modeling components of structural systems |
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132 | (1) |
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5.10 Hybrid mathematical-informational models |
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133 | (4) |
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137 | (22) |
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137 | (2) |
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6.2 Evolution and adaptation |
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139 | (1) |
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140 | (4) |
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6.3.1 Population of genetic codes |
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140 | (1) |
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6.3.2 Artificial environment and fitness |
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141 | (1) |
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6.3.3 Competitive rules of reproduction and recombination |
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141 | (1) |
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142 | (1) |
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6.3.5 Illustrative example |
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142 | (2) |
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144 | (1) |
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6.5 Shape optimization of a cantilever beam |
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145 | (9) |
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6.6 Dynamic neighborhood method for multimodal problems |
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154 | (3) |
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155 | (2) |
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6.6.2 Concluding remarks on DNM |
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157 | (1) |
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157 | (2) |
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7 Implicit redundant representation in genetic algorithm |
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159 | (18) |
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159 | (2) |
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7.2 Autogenesis and redundancy in genetic algorithm |
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161 | (5) |
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7.2.1 String length and redundancy ratio |
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162 | (1) |
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7.2.2 Illustrative example |
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163 | (3) |
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7.3 Shape optimization of a cantilever beam using IRRGA |
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166 | (4) |
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7.4 IRRGA in nondestructive evaluation and condition monitoring |
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170 | (7) |
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7.4.1 Condition monitoring of a truss bridge |
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171 | (6) |
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8 Inverse problem of engineering design |
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177 | (22) |
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177 | (2) |
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8.2 Structured and unstructured design problems |
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179 | (3) |
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8.3 Dynamic variable allocation and redundancy in genetic algorithm |
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182 | (2) |
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8.4 Unstructured design of a plane truss |
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184 | (7) |
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184 | (1) |
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8.4.2 String representation and structural synthesis |
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185 | (1) |
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186 | (2) |
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8.4.4 Evolution of a truss design |
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188 | (3) |
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8.5 IRRGA in unstructured design of a plane frame |
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191 | (6) |
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8.6 Summary and discussion |
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197 | (2) |
References |
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199 | (4) |
Index |
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203 | |