{"id":69910,"date":"2004-10-09T00:00:00","date_gmt":"2004-10-09T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/analisis-del-pandeo-de-pilares-en-regimen-no-lineal-mediante-splines-generalizados\/"},"modified":"2004-10-09T00:00:00","modified_gmt":"2004-10-09T00:00:00","slug":"analisis-del-pandeo-de-pilares-en-regimen-no-lineal-mediante-splines-generalizados","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/politecnica-de-madrid\/analisis-del-pandeo-de-pilares-en-regimen-no-lineal-mediante-splines-generalizados\/","title":{"rendered":"An\u00e1lisis del pandeo de pilares en r\u00e9gimen no lineal mediante splines generalizados"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Ortega S\u00e1nchez Miguel Angel <\/strong><\/h2>\n<p>El objetivo fundamental de la presente tesis ha sido la realizaci\u00f3n de un estudio sobre el comportamiento de los pilares esbeltos sometidos a pandeo en r\u00e9gimen no lineal mediante la t\u00e9cnica de splines generalizados. dicha t\u00e9cnica puede considerarse como una variante de la metodolog\u00eda de c\u00e1lculo por elementos finitos. Para ello tras una revisi\u00f3n de los antecedentes hist\u00f3ricos y los m\u00e9todos actuales de c\u00e1lculo de elementos viga-columna sometidos a cargas axiles en situaciones de no linealidad se exponen los resultados m\u00e1s destacados de trabajos realizados con anterioridad sobre splines generalizados y elementos finitos que son b\u00e1sicos para esta investigaci\u00f3n: propiedad de soluci\u00f3n nodal exacta y concepto de acci\u00f3n repartida equivalente. se aplican despu\u00e9s dichos resultados al estudio del pilar sometido a pandeo en r\u00e9gimen lineal, ilustr\u00e1ndose con un ejemplo la utilidad de los mismos.  despu\u00e9s mediante modelos discretos se introducen los fen\u00f3menos de inestabilidad, bifurcaci\u00f3n y las trayectorias en problemas con no linealidad geom\u00e9trica y del material. A continuaci\u00f3n se recogen las aportaciones fundamentales de la tesis: el concepto de pilar lineal equivalente y el teorema de equiValencia que permiten un tratamiento linealizado del problema no lineal. La aportaci\u00f3n se centra esencialmente en el caso de no linealidad del material. Se desarrollan posteriormente en la memoria los dos m\u00e9todos de an\u00e1lisis propuestos que son:  a) m\u00e9todo algebraico. Utilizado en el caso de problemas isost\u00e1ticos en los que es posible predecir la ley de momentos o equivalentemente la distribuci\u00f3n de curvaturas. Para este tipo de problemas la utilizaci\u00f3n de relaciones momento-curvatura dada por una poligonal permite establecer una serie de ecuaciones de equilibrio y compatibilidad con las que resolver el problema determinando la deformada de equilibrio.  b) m\u00e9todo general. El concepto de pilar lineal equivalente y el teorema de equi<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>An\u00e1lisis del pandeo de pilares en r\u00e9gimen no lineal mediante splines generalizados<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 An\u00e1lisis del pandeo de pilares en r\u00e9gimen no lineal mediante splines generalizados <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Ortega S\u00e1nchez Miguel Angel <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 10\/09\/2004<\/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> Romero Mart\u00edn Jos\u00e9 Luis<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: avelino Samart\u00edn quiroga <\/li>\n<li> De arriaga g\u00f3mez Fernando (vocal)<\/li>\n<li> Garc\u00eda prada Juan  Carlos (vocal)<\/li>\n<li> Rio suarez olga isabel (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Ortega S\u00e1nchez Miguel Angel El objetivo fundamental de la presente tesis ha sido la realizaci\u00f3n de un [&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 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