| Static Analysis | p. 1 |
| Linear Analysis of Framed Structures | p. 3 |
| Linear Analysis of Continuum Structures | p. 6 |
| Solution of the Linear Equilibrium Equations | p. 13 |
| Matrix Factorization | p. 13 |
| Iterative Solution Procedures | p. 15 |
| Nonlinear Analysis | p. 20 |
| Geometric Nonlinearity | p. 21 |
| Material Nonlinearity | p. 26 |
| Time Varying Loads | p. 29 |
| Buckling Analysis | p. 30 |
| Solution of the Nonlinear Equations | p. 32 |
| References | p. 35 |
| Vibration Analysis | p. 37 |
| Free Vibration | p. 37 |
| Properties of the Eigenproblem | p. 39 |
| The Standard Eigenproblem and the Rayleigh Quotient | p. 40 |
| Solution of the Eigenproblem | p. 42 |
| Static Condensation | p. 42 |
| Solution Methods | p. 43 |
| Vector Iteration Methods | p. 45 |
| Inverse Vector Iteration | p. 45 |
| Vector Iteration with Shifts | p. 48 |
| Matrix Deflation and Gram-Schmidt Orthogonalization | p. 50 |
| Transformation Methods | p. 51 |
| Polynomial Iterations | p. 52 |
| Rayleigh-Ritz Analysis | p. 54 |
| Approximate Eigenproblem Solution | p. 54 |
| Load-Dependent Ritz Vectors | p. 55 |
| The Lanczos Method | p. 58 |
| Subspace Iteration | p. 60 |
| References | p. 63 |
| Dynamic Analysis | p. 65 |
| Linear Dynamic Analysis | p. 65 |
| Direct Integration | p. 66 |
| Mode Superposition | p. 72 |
| Special Analysis Procedures | p. 78 |
| Reduced Basis | p. 81 |
| Static Analysis | p. 82 |
| Dynamic Analysis | p. 84 |
| Nonlinear Dynamic Analysis | p. 86 |
| Implicit Integration | p. 86 |
| Mode Superposition | p. 87 |
| References | p. 91 |
| Reanalysis of Structures | p. 93 |
| Design Variables | p. 95 |
| Formulation of Static Reanalysis | p. 97 |
| Linear Static Reanalysis | p. 97 |
| Nonlinear Static Reanalysis | p. 99 |
| Formulation of Vibration Reanalysis | p. 102 |
| Eigenproblem Reanalysis | p. 102 |
| Iterative Procedures | p. 103 |
| Formulation of Dynamic Reanalysis | p. 105 |
| Linear Dynamic Reanalysis | p. 105 |
| Nonlinear Dynamic Reanalysis | p. 107 |
| Reanalysis Methods | p. 109 |
| Direct Methods | p. 110 |
| Approximate Methods | p. 110 |
| The Combined Approximations Approach | p. 112 |
| References | p. 116 |
| Static Reanalysis | p. 121 |
| Determination of the Basis Vectors | p. 122 |
| The Binomial Series | p. 122 |
| Calculation of the Basis Vectors | p. 123 |
| Convergence of the Series | p. 125 |
| Linear Reanalysis | p. 125 |
| Coupled Basis Vectors | p. 125 |
| Uncoupled Basis Vectors | p. 131 |
| Topological Changes | p. 139 |
| Number of DOF is Decreased | p. 139 |
| Number of DOF is Increased | p. 142 |
| Nonlinear Analysis and Reanalysis | p. 146 |
| Problem Formulation | p. 146 |
| Solution by Combined Approximations | p. 148 |
| Procedures for Analysis and Reanalysis | p. 151 |
| References | p. 158 |
| Vibration Reanalysis | p. 159 |
| The Reduced Eigenproblem | p. 160 |
| Problem Formulation | p. 160 |
| Determination of the Basis Vectors | p. 161 |
| Improved Basis Vectors | p. 163 |
| Gram-Schmidt Orthogonalizations of the Modes | p. 163 |
| Shifts of the Basis Vectors | p. 164 |
| Gram-Schmidt Orthogonalizations of the Basis Vectors | p. 166 |
| General Solution Procedure | p. 166 |
| Numerical Examples | p. 168 |
| Reanalysis by Iterative Procedures | p. 175 |
| References | p. 183 |
| Dynamic Reanalysis | p. 185 |
| Linear Dynamic Reanalysis | p. 185 |
| Solution by Direct Integration | p. 186 |
| Solution by Mode Superposition | p. 190 |
| Nonlinear Dynamic Reanalysis | p. 197 |
| Solution by Implicit Integration | p. 197 |
| Solution by Mode Superposition | p. 197 |
| References | p. 204 |
| Direct Reanalysis | p. 207 |
| Direct Methods | p. 208 |
| A Single Rank-One Change | p. 208 |
| Multiple Rank-One Changes | p. 209 |
| General Procedure | p. 212 |
| Direct Solutions by Combined Approximations | p. 215 |
| Multiple Rank-One Changes | p. 216 |
| Solution Procedure | p. 217 |
| Topological and Geometrical Changes | p. 221 |
| Topological Changes | p. 221 |
| Geometrical Changes | p. 223 |
| References | p. 224 |
| Repeated Sensitivity Analysis | p. 227 |
| Finite-Difference Derivatives | p. 228 |
| Static Problems | p. 230 |
| Analytical Derivatives | p. 230 |
| Semi-Analytical Derivatives | p. 231 |
| Repeated Analytical Derivatives | p. 233 |
| Repeated Finite-Difference Derivatives | p. 237 |
| Errors Due to Rigid Body Motions | p. 240 |
| Vibration Problems | p. 243 |
| Analytical Derivatives | p. 243 |
| Repeated Finite-Difference Derivatives | p. 244 |
| Improved Basis Vectors using Central-Differences | p. 247 |
| Linear Dynamic Problems | p. 249 |
| Modal Analysis Equations | p. 249 |
| Analytical Derivatives | p. 250 |
| Reducing the Number of Differential Equations | p. 251 |
| Nonlinear Dynamic Problems | p. 255 |
| Modal Analysis Equations | p. 255 |
| Nonlinear-Dynamic Sensitivity Analysis | p. 256 |
| Efficient Solution Procedures | p. 258 |
| References | p. 262 |
| Computational Considerations | p. 265 |
| Efficiency of the Calculations | p. 266 |
| Static Reanalysis | p. 266 |
| Dynamic Reanalysis | p. 269 |
| Dynamic Sensitivity Analysis | p. 270 |
| Accuracy Considerations | p. 273 |
| Linearly Dependent Basis Vectors | p. 273 |
| Scaled and Nearly Scaled Designs | p. 276 |
| Equivalence of the PCG and CA Methods | p. 278 |
| Error Evaluation | p. 281 |
| Static Reanalysis | p. 281 |
| Vibration Reanalysis | p. 284 |
| Accuracy of Forces and Stresses | p. 289 |
| References | p. 291 |
| Index | p. 293 |
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