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Optimization and anti-optimization of structures under uncertainty /
The volume presents a collaboration between internationally recognized experts on anti-optimization and structural optimization, and summarizes various novel ideas, methodologies and results studied over 20 years. The book vividly demonstrates how the concept of uncertainty should be incorporated in...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London : Hackensack, NJ :
Imperial College Press ; Distributed by World Scientific,
2010.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Introduction. 1.1. Probabilistic analysis : bad news. 1.2. Probabilistic analysis : good news. 1.3. Convergence of probability and anti-optimization
- 2. Optimization or making the best in the presence of certainty/uncertainty. 2.1. Introduction. 2.2. What can we get from structural optimization? 2.3. Definition of the structural optimization problem. 2.4. Various formulations of optimization problems. 2.5. Approximation by metamodels. 2.6. Heuristics. 2.7. Classification of structural optimization problems. 2.8. Probabilistic optimization. 2.9. Fuzzy optimization
- 3. General formulation of anti-optimization. 3.1. Introduction. 3.2. Models of uncertainty. 3.3. Interval analysis. 3.4. Ellipsoidal model. 3.5. Anti-optimization problem. 3.6. Linearization by sensitivity analysis. 3.7. Exact reanalysis of static response
- 4. Anti-optimization in static problems. 4.1. A simple example. 4.2. Boley's pioneering problem. 4.3. Anti-optimization problem for static responses. 4.4. Matrix perturbation methods for static problems. 4.5. Stress concentration at a nearly circular hole with uncertain irregularities. 4.6. Anti-optimization of prestresses of tensegrity structures
- 5. Anti-optimization in buckling. 5.1. Introduction. 5.2. A simple example. 5.3. Buckling analysis. 5.4. Anti-optimization problem. 5.5. Worst imperfection of braced frame with multiple buckling loads. 5.6. Anti-optimization based on convexity of stability region. 5.7. Worst imperfection of an arch-type truss with multiple member buckling at limit point. 5.8. Some further references
- 6. Anti-optimization in vibration. 6.1. Introduction. 6.2. A simple example of anti-optimization for eigenvalue of vibration. 6.3. Bulgakov's problem. 6.4. Non-probabilistic, convex-theoretic modeling of scatter in material properties. 6.5. Anti-optimization of earthquake excitation and response. 6.6. A generalization of the Drenick-Shinozuka model for bounds on the seismic response. 6.7. Aeroelastic optimization and anti-optimization. 6.8. Some further references
- 7. Anti-optimization via FEM-based interval analysis. 7.1. Introduction. 7.2. Interval analysis of MDOF systems. 7.3. Interval finite element analysis for linear static problem. 7.4. Interval finite element analysis of shear frame. 7.5. Interval analysis for pattern loading. 7.6. Some further references
- 8. Anti-optimization and probabilistic design. 8.1. Introduction. 8.2. Contrasting probabilistic and anti-optimization approaches. 8.3. Anti-optimization versus probability : vector uncertainty
- 9. Hybrid optimization with anti-optimization under uncertainty or making the best out of the worst. 9.1. Introduction. 9.2. A simple example. 9.3. Formulation of the two-level optimization-anti-optimization problem. 9.4. Algorithms for two-level optimization-anti-optimization. 9.5. Optimization against nonlinear buckling. 9.6. Stress and displacement constraints. 9.7. Compliance constraints. 9.8. Homology design. 9.9. Design of flexible structures under constraints on asymptotic stability. 9.10. Force identification of prestressed structures. 9.11. Some further references
- 10. Concluding remarks. 10.1. Why were practical engineers reluctant to adopt structural optimization? 10.2. Why didn't practical engineers totally embrace probabilistic methods? 10.3. Why don't the probabilistic methods find appreciation among theoreticians and practitioners alike? 10.4. Is the suggested methodology a new one? 10.5. Finally, why did we write this book?