Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

A variance-expected compliance model for structural optimization

dc.contributor.authorIvorra, Benjamín Pierre Paul
dc.contributor.authorCarrasco, Miguel
dc.contributor.authorManuel Ramos, Angel
dc.date.accessioned2023-06-20T00:15:18Z
dc.date.available2023-06-20T00:15:18Z
dc.date.issued2012
dc.description.abstractThe goal of this paper is to find robust structures for a given main load and its perturbations. In the first part, we show the mathematical formulation of an original variance-expected compliance model used for structural optimization. In the second part, we study the interest of this model on two 3D benchmark test cases and compare the obtained results with those given by an expected compliance model.
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCMM; Spanish "Ministry of Education and Science"[MTM2008-04621/MTM]; research group MOMAT[910480]; Banco
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16161
dc.identifier.doi10.1007/s10957-011-9874-7
dc.identifier.issn0022-3239
dc.identifier.officialurlhttp://www.springerlink.com/content/225485288q6901nn/fulltext.pdf
dc.identifier.relatedurlhttp://www.springerlink.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/42277
dc.issue.number1
dc.journal.titleJournal of optimization theory and applications
dc.language.isoeng
dc.page.final151
dc.page.initial136
dc.publisherSpringer/plenum publishers
dc.relation.projectIDThe authors want to thank Felipe Alvarez from "Universidad de Chile" for his valuable help. This work was carried out
dc.rights.accessRightsrestricted access
dc.subject.cdu519.8
dc.subject.keywordstructural optimization
dc.subject.keywordtruss modeling
dc.subject.keywordvariance-expected compliance model
dc.subject.keywordstochastic programming
dc.subject.ucmInvestigación operativa (Matemáticas)
dc.subject.unesco1207 Investigación Operativa
dc.titleA variance-expected compliance model for structural optimization
dc.typejournal article
dc.volume.number152
dcterms.referencesDorn, W., Gomory, R., Greenberg, M.: Automatic design of optimal structures. J. Mech. 3, 25–52(1964) Ben-Tal, A., Nemirovski, A.: Robust truss topology design via semidefinite programming. SIAM J.Optim. 7(4), 991–1016 (1997) Achtziger, W., Bendsøe, M., Ben-Tal, A., Zowe, J.: Equivalent displacement based formulations for maximum strength truss topology design. Impact Comput. Sci. Eng. 4(4), 315–345 (1992) Achtziger,W.: Topology optimization of discrete structures: an introduction in view of computational and nonsmooth aspects. In: Rozvany, G.I.N. (ed.) Topology Optimization in Structural Mechanics,pp. 57–100. Springer, Vienna (1997) Achtziger, W.: Multiple-load truss topology and sizing optimization: some properties of minimax compliance. J. Optim. Theory Appl. 98(2), 255–280 (1998) Alvarez, F., Carrasco, M.: Minimization of the expected compliance as an alternative approach to multiload truss optimization. Struct. Multidiscip. Optim. 29(6), 470–476 (2005) Ben-Tal, A., Bendsøe, M.P.: A new method for optimal truss topology design. SIAM J. Optim. 3(2),322–358 (1993) Ben-Tal, A., Zibulevsky, M.: Penalty/barrier multiplier methods for convex programming problems.SIAM J. Optim. 7(2), 347–366 (1997) Jarre, F., Koˇcvara, M., Zowe, J.: Optimal truss design by interior-point methods. SIAM J. Optim. 8(4),1084–1107 (1998)Ivorra, B., Ramos, A.M., Mohammadi, B.: Semideterministic global optimization method: Application to a control problem of the burgers equation. J. Optim. Theory Appl. 135(3), 549–561 (2007) Bendsøe, M.P., Sigmund, O.: Topology Optimization. Theory, Methods and Applications. Springer,Berlin (2003) Eckhardt, H.: Kinematic Design of Machines and Mechanisms. McGraw-Hill, New York (1998) Rockafellar, R.T.: Convex Analysis. Princeton Landmarks in Mathematics. Princeton University Press, Princeton (1997) Mehrotra, S.: On the implementation of a primal-dual interior point method. SIAM J. Optim. 2(4),575–601 (1992) Zhang, Y.: Solving large-scale linear programs by interior-point methods under theMATLAB environment.Technical Report TR96-01, Department of Mathematics and Statistics, University of Maryland,Baltimore County, Baltimore, MD, July 1995 Ivorra, B., Mohammadi, B., Ramos, A.M.: Optimization strategies in credit portfolio management. J.Glob. Optim. 43(2), 415–427 (2009) Seber, G.A.F.: Linear Regression Analysis. Wiley, New York (1977) Kanno, Y., Ohsaki, M.,Murota, K., Katoh, N.: Group symmetry in interior-point methods for semidefinite program. Optim. Eng. 2, 293–320 (2001) Bai, Y., de Klerk, E., Pasechnik, D., Sotirov, R.: Exploiting group symmetry in truss topology optimization. Optim. Eng. 10(3), 331–349 (2009) Ohsaki, M.: Optimization of geometrically non-linear symmetric systems with coincident critical points. Int. J. Numer. Methods Eng. 48, 1345–1357 (2000) Carrasco, M.: Diseño óptimo de estructuras reticulares en elasticidad lineal vía teoría de la dualidad.Estudio teórico y numérico. Engineering Degree Thesis, Universidad de Chile (2003) Debiane, L., Ivorra, B., Mohammadi, B., Nicoud, F., Ern, A., Poinsot, T., Pitsch, H.: A low-complexity global optimization algorithm for temperature and pollution control in flames with complex chemistry.Int. J. Comput. Fluid Dyn., 20(2), 93–98 (2006) Isebe, D., Azerad, P., Bouchette, F., Ivorra, B.,Mohammadi, B.: Shape optimization of geotextile tubes for sandy beach protection. Int. J. Numer. Methods Eng. 74(8), 1262–1277 (2008) Ivorra, B., Mohammadi, B., Dumas, L., Durand, O., Redont, P.: Semi-deterministic vs. Genetic Algorithms for Global Optimization of Multichannel Optical Filters. Int. J. Comput. Eng. Sci. 2(3),170–178 (2006) Ivorra, B., Mohammadi, B., Santiago, D.E., Hertzog, J.G.: Semi-deterministic and genetic algorithms for global optimization of microfluidic protein folding devices. Int. J. Numer. Methods Eng. 66(2),319–333 (2006) Artzner, P., Delbaen, D., Eber, J.M., Heath, D.: Thinking coherently. Risk 10, 68–71 (1997) Artzner, P., Delbaen, D., Eber, J.M., Heath, D.: Coherent measures of risk. Math. Finance 9, 203–228(1999) Tukey, J.W.: Exploratory Data Analysis. Addison-Wesley, Reading (1977) Carrasco, M., Ivorra, B., Lecaros, R., Ramos, A.M.: A variance-expected compliance approach for topology optimization. In: Hélder, R., Herskovits, J. (eds.) CD-ROM Proceedings of the ENGOPT 2010 Conference. Instituto Superior Técnico, Lisboa (2010)
dspace.entity.typePublication
relation.isAuthorOfPublication6d5e1204-9b8a-40f4-b149-02d32e0bbed2
relation.isAuthorOfPublication.latestForDiscovery6d5e1204-9b8a-40f4-b149-02d32e0bbed2

Download

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Ivorra01.pdf
Size:
718.63 KB
Format:
Adobe Portable Document Format

Collections