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Extra resources for Dessau Bauhaus Building 1926-1999

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Aoues and Chateauneuf (2007) proposed a scheme for consistent RBDO of structural systems. The basic idea consists in updating the component target safety levels in order to fulfill the overall system target. In the main optimization loop, the cost function is minimized under the constraints that component reliability indexes must satisfy the updated target values. min C(d) subject to Updated βj (d) ≥ βtj d ≤d≤d L Updated (21) U where βtj is the updated target reliability index for the jth failure mode and βj (d) is the reliability index for the considered design configuration.

However, the two main drawbacks are: 1) the very high computational time, especially for realistic structures with low failure probability and 2) the numerical noise due to random sampling, leading to non-monotonic estimates during simulations, and consequently, it becomes impossible to get accurate and stable evaluation of the response gradient. Although computation time can be reduced by using importance sampling and other variance reduction techniques, the numerical noise still remains a serious difficulty for practical applications in RBDO.

G. bounds, reduction of failure paths, . ). This is probably the main reason why the system approach is less popular than the component approach. e. union and intersection of events) than just algebraic operation, which is hard to deal with in system optimization, as sensitivity computation is not easy for 22 Structural design optimization considering uncertainties logical operators. For example, the derivation of the union of two events is not simple to handle when one of them is totally or partially included inside the other, as the derivative operator can only capture the dominant event sensitivity.

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