Structural optimization : dynamic and seismic applications

Today's biggest structural engineering challenge is to design better structures, and a key issue is the need to take an integrated approach which balances control of costs with the requirement for handling earthquakes and other dynamic forces. Structural optimization is based on rigorous mathematical formulation and requires computation algorithms for sizing structural elements and synthesizing systems. Now that the right software and enough computing power are readily available, professionals can develop a suite of alternative designs and a select suitable one. A thoroughly-written and practical book on structural optimization is long overdue. This solid book comprehensively presents current optimization strategies, illustrated with sufficient examples of the design of elements and systems, and presenting descriptions of the process and results. Emphasis is given to dynamic loading, in particular to seismic forces. Practising engineers and researchers and will find this book an excellent reference, and advanced undergraduates or graduate students can use it as a resource for structural optimization design. --Book Jacket. Read more... Abstract: Structural optimization is based on rigorous mathematical formulation and requires computation algorithms for sizing structural elements and synthesizing systems. This book comprehensively presents optimization strategies, illustrated with examples of the design of elements and systems and presenting descriptions of the process and results. Read more... Cover 1 Half Title 2 Title Page 4 Copyright Page 5 Contents 6 Preface 8 Acknowledgements 10 Authors 12 List of notations 14 List of abbreviations 21 1 Introduction 22 2 Fundamentals of linear programming 26 3 Linear programming optimization of elastic structural systems 50 4 Introduction to nonlinear programming 91 5 Optimization of rigid frames with P - Δ effects for static and dynamic loads 146 6 Gradient-based search techniques 199 7 Energy distribution algorithm for optimality-criteria method and optimization of 2-D seismic resistant frames 225 8 Generalized optimality-criteria approach 324 9 Generalized optimality criteria applied to statically and dynamically loaded structural systems 353 10 Generalized optimality-criteria application to topological design, pile foundations, damage detection and structural identification 424 11 Nondeterministic structural optimization and parametric assessments 498 12 Multi-objective optimization with genetic algorithm, fuzzy logic and game theory 600 Appendix A: Illustration of linear programming for feasible direction vector of Example 5.6.1 682 Appendix B: Newton’s backward difference for calculating the acceleration and velocity at time t[sub(n)] 685 Appendix C: Interpolation formulas 688 Appendix D: Illustration of linear programming for feasible direction vector of Example 5.8.1 690 Appendix E: Newmark’s spectra 693 Appendix F: Equivalent lateral force procedure 699 Appendix G: Derivation of mean and variance of LNR or LNS 703 Appendix H: Equivalent uniform distributed load 705 Appendix I: Probability distribution of peak acceleration 707 Appendix J: Flow chart of interior-penalty-function algorithm 711 Appendix K: Explanation of notes I through XIX in Table 11.2 713 Index 721 Content: 1. Introduction -- 2. Fundamentals of linear programming -- 3. Linear programming optimization of elastic structural systems -- 4. Introduction to nonlinear programming -- 5. Optimization of rigid frames with P-[triangle] effects for static and dynamic loads -- 6. Gradient-based search techniques -- 7. Energy distribution algorithm for optimality-criteria method and optimization of 2-D seismic resistant frames -- 8. Generalized optimality-criteria approach -- 9. Generalized optimality criteria applied to statically and dynamically loaded structural systems -- 10. Generalized optimality-criteria application to topological design, pile foundations, damage detection and structural identification -- 11. Nondeterministic structural optimization and parametric assessments -- 12. Multi-objective optimization with genetic algorithm, fuzzy logic and game theory -- Appendix A. Illustration of linear programming for feasible direction vector of Example 5.6.1 -- Appendix B. Newton's backward difference for calculating the acceleration and velocity at time t[subscript]n -- Appendix C. Interpolation formulas -- Appendix D. Illustration of linear programming for feasible direction vector of Example 5.8.1 -- Appendix E. Newmark's spectra -- Appendix F. Equivalent lateral force procedure -- Appendix G. Derivation of mean and variance of LNR or LNS -- Appendix H. Equivalent uniform distributed load -- Appendix I. Probability distribution of peak acceleration -- Appendix J. Flow chart of interior-penalty-function algorithm -- Appendix K. Explanation of notes I through XIX in Table 11.2. Today's biggest structural engineering challenge is to design better structures, and a key issue is the need to take an integrated approach which balances control of costs with the requirement for handling earthquakes and other dynamic forces. Structural optimization is based on rigorous mathematical formulation and requires computation algorithms for sizing structural elements and synthesizing systems. Now that the right software and enough computing power are readily available, professionals can now develop a suite of alternative designs and a select suitable one.A thoroughly-written and practical book on structural optimization is long overdue. This solid book comprehensively presents current optimization strategies, illustrated with sufficient examples of the design of elements and systems and presenting descriptions of the process and results. Emphasis is given to dynamic loading, in particular to seismic forces.Researchers and practising engineers will find this book an excellent reference, and advanced undergraduates or graduate students can use it as a resource for structural optimization design.