Preface ....................................................... vii
Acknowledgements ............................................... ix
Authors ........................................................ xi
List of notations ............................................ xiii
List of abbreviations .......................................... xx
1 Introduction ................................................. 1
2 Fundamentals of linear programming ........................... 5
3 Linear programming optimization of elastic structural
systems ..................................................... 29
4 Introduction to nonlinear programming ....................... 70
5 Optimization of rigid frames with P - Δ effects for
static and dynamic loads ................................... 125
6 Gradient-based search techniques ........................... 178
7 Energy distribution algorithm for optimality-criteria
method and optimization of 2-D seismic resistant frames .... 204
8 Generalized optimality-criteria approach ................... 303
9 Generalized optimality criteria applied to statically and
dynamically loaded structural systems ...................... 332
10 Generalized optimality-criteria application to
topological design, pile foundations, damage detection
and structural identification .............................. 403
11 Nondeterministic structural optimization and parametric
assessments ................................................ 477
12 Multi-objective optimization with genetic algorithm,
fuzzy logic and game theory ................................ 579
Appendix A: Illustration of linear programming for feasible
direction vector of Example 5.6.1 ................. 661
Appendix B: Newton's backward difference for calculating
the acceleration and velocity at time t ........... 664
Appendix C: Interpolation formulas ............................ 667
Appendix D: Illustration of linear programming for feasible
direction vector of Example 5.8.1 ................. 669
Appendix E: Newmark's spectra ................................. 672
Appendix F: Equivalent lateral force procedure ................ 678
Appendix G: Derivation of mean and variance of LNR or LNS ..... 682
Appendix H: Equivalent uniform distributed load ............... 684
Appendix I: Probability distribution of peak acceleration ..... 686
Appendix J: Flow chart of interior-penalty-function
algorithm ......................................... 690
Appendix K: Explanation of notes I through XIX in Table
11.2 .............................................. 692
Index ......................................................... 700
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