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Seismic zoning for initial- and total-cost minimization

2000; Wiley; Volume: 29; Issue: 6 Linguagem: Inglês

10.1002/(sici)1096-9845(200006)29

1096-9845

Jaime Garc�a-P�rez,

Optimization and Variational Analysis

Earthquake Engineering & Structural DynamicsVolume 29, Issue 6 p. 847-865 Research Article Seismic zoning for initial- and total-cost minimization Jaime García-Pérez, Corresponding Author Jaime García-Pérez jgap@pumas.iingen.unam.mx Instituto de Ingeniería, Mecánica Aplicada, Universidad Nacional Autónoma de México, Apartado Postal 70-472, Ciudad Universitaria, DF 04510, MexicoInstituto de Ingeniería, Mecánica Aplicada, Universidad Nacional Autónoma de México, Apartado Postal 70-472, Ciudad Universitaria, DF 04510, MexicoSearch for more papers by this author Jaime García-Pérez, Corresponding Author Jaime García-Pérez jgap@pumas.iingen.unam.mx Instituto de Ingeniería, Mecánica Aplicada, Universidad Nacional Autónoma de México, Apartado Postal 70-472, Ciudad Universitaria, DF 04510, MexicoInstituto de Ingeniería, Mecánica Aplicada, Universidad Nacional Autónoma de México, Apartado Postal 70-472, Ciudad Universitaria, DF 04510, MexicoSearch for more papers by this author First published: 28 April 2000 https://doi.org/10.1002/(SICI)1096-9845(200006)29:6 3.0.CO;2-JCitations: 5AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract We consider two design criteria to study seismic zoning. In the first, codes require that structures be designed for some specified values. Zoning is then optimal when it minimizes the expected present value of the initial costs of all structures to be built in the region being zoned. In the second criterion, it is designed so that the present value of the total cost is minimized, including initial and maintenance costs as well as losses due to damage and failure. We will call these criteria zoning for the initial- and total-cost minimization, respectively. It is shown that under certain conditions, the boundaries coincide with isoparametric curves and the problem may be solved in one dimension. We also deal with problems not reducible to a single dimension. Different methods are proposed to solve the various kinds of problems. The work ends with some illustrative examples. Copyright © 2000 John Wiley & Sons, Ltd. Citing Literature Volume29, Issue6June 2000Pages 847-865 RelatedInformation