000004479 001__ 4479
000004479 005__ 20141118192659.0
000004479 0177_ $$2doi$$a10.3850/978-981-07-2219-7_P123

000004479 0247_ $$210.3850/978-981-07-2219-7_P123
$$adoi
000004479 04107 $$aeng
000004479 046__ $$k2012-05-23
000004479 100__ $$aValdebenito, Marcos
000004479 24500 $$aApplication of Sequential Approximate Optimization for Designing Linear Systems Under Gaussian Excitation

000004479 24630 $$n5.$$pProceedings of the 5th Asian-Pacific Symposium on Structural Reliability and its Applications
000004479 260__ $$bResearch Publishing, No:83 Genting Lane, #08-01, Genting Building, 349568 SINGAPORE
000004479 506__ $$arestricted
000004479 520__ $$2eng$$aThis contribution explores the application of sequential approximate optimization (Svanberg 2002) for optimal design of linear structural systems subject to dynamic excitation characterized as a Gaussian process. The focus is on analyzing and comparing the performance of two different schemes for constructing conservative convex and separable approximations of the objective function and constraints involved in the optimization problem. These schemes correspond to the Diagonal Quadratic approximation (Snyman and Hay 2002) and the Conservative approximation (Zhang and Fleury 1997). The associated reliability problem comprises high dimensional spaces and thus, it is evaluated by means of an efficient Importance Sampling scheme (Au and Beck 2001). The sensitivity of the reliability is evaluated using a scheme based on local approximations introduced recently (Valdebenito et al. 2011).
 The results obtained show that the sequential approximate optimization scheme is quite efficient, as only few function evaluations are required in order to determine the optimum. Moreover, the results indicate that the particular scheme that is used to construct approximations of the objective function and constraints may have an impact on the associated numerical costs. In fact, for the particular example studied here, the conservative approximation outperforms the diagonal quadratic approximation.

000004479 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004479 653__ $$aOptimization, Structural reliability, Approximation, Simulation method, Sensitivity analysis, Stochastic dynamic excitation.

000004479 7112_ $$a5th Asian-Pacific Symposium on Structural Reliability and its Applications$$cSingapore (SG)$$d2012-05-23 / 2012-05-25$$gAPSSRA2012
000004479 720__ $$aValdebenito, Marcos$$iJensen, Héctor$$iSchuëller, Gerhart
000004479 8560_ $$ffischerc@itam.cas.cz
000004479 8564_ $$s163266$$uhttps://invenio.itam.cas.cz/record/4479/files/P123.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004479 962__ $$r4180
000004479 980__ $$aPAPER