| Preface | p. XI |
| Acknowledgements | p. XV |
| Concepts and Methods | p. 1 |
| Introduction | p. 3 |
| Analysis and Reanalysis | p. 3 |
| Structural Analysis | p. 3 |
| Design Variables | p. 5 |
| Changes in the Structural Model | p. 7 |
| Reanalysis of Structures | p. 11 |
| Scope of text | p. 12 |
| References | p. 15 |
| Structural Analysis | p. 17 |
| Linear Analysis of Framed Structures | p. 18 |
| Basic Relations | p. 18 |
| Solution by the Displacement Method | p. 20 |
| Continuum Structures | p. 23 |
| Nonlinear Analysis | p. 30 |
| Geometrical Non-linearity | p. 31 |
| Material Non-linearity | p. 33 |
| Dynamic Analysis | p. 33 |
| The Eigenproblem | p. 34 |
| Collapse and Buckling Analysis | p. 38 |
| References | p. 40 |
| Reanalysis of Structures | p. 41 |
| Formulation of Reanalysis Problems | p. 41 |
| Linear Reanalysis | p. 41 |
| Nonlinear Reanalysis | p. 42 |
| Vibration Reanalysis | p. 44 |
| Reanalysis Methods | p. 46 |
| Direct Methods | p. 47 |
| Approximate Methods | p. 47 |
| References | p. 51 |
| Direct Methods | p. 55 |
| A Single Rank-One Change | p. 55 |
| Multiple Rank-One Changes | p. 57 |
| General Procedure | p. 60 |
| References | p. 63 |
| Local Approximations | p. 65 |
| Series Expansion | p. 65 |
| The Taylor Series | p. 65 |
| The Binomial Series | p. 66 |
| Homogeneous Functions | p. 68 |
| Intermediate Variables | p. 70 |
| Conservative and Convex Approximations | p. 71 |
| Intermediate Response Functions | p. 73 |
| Improved Series Approximations | p. 75 |
| Scaling of the Initial Design | p. 76 |
| Scaling of Displacements | p. 82 |
| References | p. 84 |
| Global Approximations | p. 85 |
| Polynomial Fitting and Response Surface | p. 86 |
| Polynomial Fitting | p. 86 |
| Least-Square Solutions | p. 90 |
| Reduced Basis | p. 92 |
| Static Analysis | p. 93 |
| Dynamic Analysis | p. 95 |
| The Conjugate Gradient Method | p. 101 |
| Solution Procedure | p. 101 |
| Preconditioned Conjugate Gradient | p. 103 |
| References | p. 105 |
| A Unified Approach | p. 107 |
| Combined Approximations (CA) | p. 109 |
| Coupled Basis Vectors | p. 110 |
| Determining the Basis Vectors | p. 110 |
| Solution Procedure | p. 112 |
| Uncoupled Basis Vectors | p. 115 |
| Determining the Basis Vectors | p. 115 |
| Solution Procedure | p. 118 |
| Accurate Solutions | p. 119 |
| Linearly Dependent Basis Vectors | p. 119 |
| Equivalence of the CA Method and the PCG Method | p. 120 |
| Error Evaluation | p. 122 |
| Scaled and Nearly Scaled Designs | p. 124 |
| High-Order Approximations | p. 132 |
| References | p. 135 |
| Simplified Solution Procedures | p. 137 |
| Low-Order Approximations | p. 137 |
| Structural Optimization | p. 139 |
| Reanalysis of Damaged Structures | p. 144 |
| Efficiency of the Calculations | p. 148 |
| Limitations on Design Changes | p. 150 |
| Exact solutions | p. 151 |
| Multiple Rank-one changes | p. 152 |
| Equivalence of the CA Method and the S-M Formula | p. 153 |
| Equivalence of the CA Method and the Woodbury Formula | p. 154 |
| Solution Procedure | p. 154 |
| References | p. 158 |
| Toplogical and Geometrical Changes | p. 161 |
| Topological Changes | p. 162 |
| Number of DOF is Unchanged | p. 163 |
| Number of DOF is Decreased | p. 169 |
| Number of DOF is Increased | p. 172 |
| Geometrical Changes | p. 176 |
| Accurate Solutions | p. 177 |
| Exact Solutions | p. 184 |
| References | p. 185 |
| Design Sensitivity Analysis | p. 187 |
| Exact Analytical Derivatives | p. 188 |
| Direct Method | p. 189 |
| Adjoint-Variable Method | p. 189 |
| Approximate First-Order Derivatives | p. 190 |
| Direct Approximations (DA) | p. 191 |
| Adjoint-Variable Approximations (AVA) | p. 192 |
| Finite Difference Approximations (FDA) | p. 193 |
| Comparison of Results | p. 196 |
| Accuracy of Calculations | p. 196 |
| Computational Efficiency | p. 196 |
| Ease-of-Implementation | p. 197 |
| Second-Order Derivatives | p. 197 |
| Computational Procedure | p. 198 |
| References | p. 204 |
| Nonlinear Reanalysis | p. 207 |
| Geometric Nonlinear Analysis | p. 207 |
| Nonlinear Analysis by the CA Method | p. 208 |
| Nonlinear Reanalysis by the CA Method | p. 210 |
| References | p. 220 |
| Vibration Reanalysis | p. 221 |
| Vibration Analysis | p. 221 |
| Formulation of Eigenproblem Reanalysis | p. 223 |
| Reanalysis by the CA Method | p. 224 |
| Evaluation of Modified Eigenvalues | p. 230 |
| References | p. 231 |
| Subject Index | p. 233 |
| Table of Contents provided by Syndetics. All Rights Reserved. |