Optimization And Anti-optimization Of Structures Under UncertaintyThe 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 a rigorous manner during the process of designing real-world structures. The necessity of anti-optimization approach is first demonstrated, then the anti-optimization techniques are applied to static, dynamic and buckling problems, thus covering the broadest possible set of applications. Finally, anti-optimization is fully utilized by a combination of structural optimization to produce the optimal design considering the worst-case scenario. This is currently the only book that covers the combination of optimization and anti-optimization. It shows how various optimization techniques are used in the novel anti-optimization technique, and how the structural optimization can be exponentially enhanced by incorporating the concept of worst-case scenario, thereby increasing the safety of the structures designed in various fields of engineering./a |
Contents
| 1 | |
2 Optimization or Making the Best in the Presence of CertaintyUncertainty | 17 |
3 General Formulation of AntiOptimization | 47 |
4 AntiOptimization in Static Problems | 77 |
5 AntiOptimization in Buckling | 113 |
6 AntiOptimization in Vibration | 145 |
7 AntiOptimization via FEMbased Interval Analysis | 211 |
8 AntiOptimization and Probabilistic Design | 227 |
9 Hybrid Optimization with AntiOptimization under Uncertainty or Making the Best out of the Worst | 273 |
10 Concluding Remarks | 327 |
Bibliography | 343 |
| 387 | |
| 391 | |
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Common terms and phrases
accelerograms anti-optimal solution anti-optimization problem Applied Mechanics approach beam Ben-Haim buckling load Chen column Consider constraints convex function convex model coordinates corresponding cross-sectional areas defined deformation denote design variables deterministic displacement vector Drenick dynamic earthquake eigenvalue elastic Elishakoff ellipsoid equation feasible region finite element formulated fuzzy set given Haftka initial imperfections International Journal interval analysis Lagrange multiplier linear buckling load factor lower bound member forces minimize minimum mode Muhanna nodal displacements nodes non-dimensional non-probabilistic nonlinear nonlinear programming objective function obtained Ohsaki optimal solution optimization problem optimum design probabilistic probability density probability density function Proc programming radius random variables reliability respectively response safety factor satisfied self-equilibrium sensitivity analysis sensitivity coefficients shown in Fig specified static stiffness matrix stochastic stress structural optimization tensegrity truss uncertainty upper bound vector vibration viscoelastic Wang worst imperfection worst-case