RT Journal Article T1 An expected compliance model based on topology optimization for designing structures submitted to random loads A1 Carrasco, Miguel A1 Ivorra, Benjamin A1 Lecaros, Rodrigo A1 Ramos del Olmo, Ángel Manuel AB In this paper, we focus in developing a stochastic model for topology optimization. The principal objective of such a model is to find robust structures for a given main load having a stochastic behavior. In the first part, we present the expected compliance formulation and some results in topology optimization. Then, in order to illustrate the interest of our approach, we consider a preliminary 3D cantilever benchmark experiment and compare the obtained results with the one given by a single load approach. PB Element d.o.o SN 1848-9605 YR 2012 FD 2012 LK https://hdl.handle.net/20.500.14352/44621 UL https://hdl.handle.net/20.500.14352/44621 LA eng NO [1] W. ACHTZIGER, Topology optimization of discrete structures: an introduction in view of computational and nonsmooth aspects, In Topology optimization in structural mechanics, volume 374 of CISM Courses and Lectures, pages 57–100, Springer, Vienna, 1997.[2] W. ACHTZIGER, M. BENDSØE, A. BEN-TAL, AND J. ZOWE, Equivalent displacement based formulations for maximum strength truss topology design, Impact Comput. Sci. Engrg., 4, 4 (1992), 315–345.[3] F. ALVAREZ AND M. CARRASCO, Minimization of the expected compliance as an alternative approach to multiload truss optimization, Struct. Multidiscip. Optim., 29, 6 (2005), 470–476.[4] M. P. BENDSØE AND O. SIGMUND, Topology optimization. Theory, methods and applications, Springer-Verlag, Berlin, 2003.[5] A. BEN-TAL AND A. NEMIROVSKI, Robust truss topology design via semidefinite programming, SIAM J. Optim., 7, 4 (1997), 991–1016.[6] A. BEN-TAL AND M. ZIBULEVSKY, Penalty/barrier multiplier methods for convex programming problems, SIAM J. Optim., 7 2 (1997), 347–366.[7] M. CARRASCO, B. IVORRA AND A.M. RAMOS, A variance-expected compliance model for structural optimization, Journal of Optimization Theory and Applications, accepted, 2011.[8] P. CIARLET, Mathematical Elasticity, Vol. I, Three Dimensional Elasticity, North-Holland, Amsterdam, 1988.[9] S. CONTI, H. HELD, M. PACH, M. RUMPF AND R. SCHULTZ, Shape optimization under uncertainty, a stochastic programming perspective, SIAM Journal on Optimization, 19, 4 (2008), 1610–1632.[10] B. IVORRA, B. MOHAMMADI, AND A.M. RAMOS, Optimization strategies in credit portfolio management, Journal Of Global Optimization, 43 2 (2009), 415–427.[11] B. IVORRA, A. M. RAMOS, AND B. MOHAMMADI, Semideterministic global optimization method: Application to a control problem of the Burgers equation, Journal of Optimization Theory and Applications, 135, 3 (2007), 549–561.[12] L. D. LANDAU, E. M. LIFSHITZ, Theory of Elasticity, Oxford, England: Butterworth Heinemann, 1986.[13] O. SIGMUND, A 99 line topology optimization code written in Matlab, Structural and Multidisciplinary Optimization, 21, 2 (2001), 120–127. NO Comunidad de Madrid NO Ministerio de Educación y Ciencia (España) NO Universidad de los Andes NO FONDECYT NO UCM DS Docta Complutense RD 2 may 2024