{"id":136682,"date":"2026-01-12T16:59:37","date_gmt":"2026-01-12T16:59:37","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/geometria-variacional-y-conceptos-de-aproximacion-teoria-y-aplicacion-al-diseno-optimo-de-forma-en-ingenieria\/"},"modified":"2026-01-12T16:59:37","modified_gmt":"2026-01-12T16:59:37","slug":"geometria-variacional-y-conceptos-de-aproximacion-teoria-y-aplicacion-al-diseno-optimo-de-forma-en-ingenieria","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/ciencias-tecnologicas\/geometria-variacional-y-conceptos-de-aproximacion-teoria-y-aplicacion-al-diseno-optimo-de-forma-en-ingenieria\/","title":{"rendered":"Geometria variacional y conceptos de aproximacion. teoria y aplicacion al dise\u00f1o optimo de forma en ingenieria"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Alfonso Longo Somoza <\/strong><\/h2>\n<p>Se repasan los antecedentes del desarrollo de la optimizacion del dise\u00f1o en ingenieria, y el planteamiento del problema de dise\u00f1o optimo de forma. De este planteamiento interesan la representacion geometrica, los algoritmos de programacion matematica, y la metodolog\u00eda general de su integracion en la resolucion del problema tratado.  la representacion geometrica se resuelve mediante una tecnica de geometria variacional. Para la programacion matematica se desarrolla una generalizacion de los conceptos de aproximacion basada en el algoritmo sqp de psmenichnyi.  finalmente se describe la arquitectura de un sistema de dise\u00f1o optimo de forma donde se integran las metodolog\u00edas desarrolladas, incluyendo algunos ejemplos de aplicacion.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Geometria variacional y conceptos de aproximacion. teoria y aplicacion al dise\u00f1o optimo de forma en ingenieria<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Geometria variacional y conceptos de aproximacion. teoria y aplicacion al dise\u00f1o optimo de forma en ingenieria <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Alfonso Longo Somoza <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 01\/01\/1991<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Jos\u00e9 Antonio Tarrago Carcedo<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Rafael Avil\u00e9s Gonz\u00e1lez <\/li>\n<li>Pascual Marti Montrull (vocal)<\/li>\n<li>Manuel Doblar\u00e9 Castellano (vocal)<\/li>\n<li> Anza Aguirrezabala Juan  J. (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Alfonso Longo Somoza Se repasan los antecedentes del desarrollo de la optimizacion del dise\u00f1o en ingenieria, y [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[332,11114,15693,1909,12909,4306],"tags":[28496,18010,13039,18233,27986,13040],"class_list":["post-136682","post","type-post","status-publish","format-standard","hentry","category-ciencias-tecnologicas","category-diseno-de-maquinas","category-ingenieria-estructural","category-ingenieria-y-tecnologia-mecanicas","category-pais-vasco-euskal-herriko-unibertsitatea","category-tecnologia-de-la-construccion","tag-alfonso-longo-somoza","tag-anza-aguirrezabala-juan-j","tag-jose-antonio-tarrago-carcedo","tag-manuel-doblare-castellano","tag-pascual-marti-montrull","tag-rafael-aviles-gonzalez"],"_links":{"self":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136682","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/comments?post=136682"}],"version-history":[{"count":0,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/posts\/136682\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/media?parent=136682"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/categories?post=136682"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.deberes.net\/tesis\/wp-json\/wp\/v2\/tags?post=136682"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}