{"id":2181,"date":"2019-05-08T12:17:16","date_gmt":"2019-05-08T12:17:16","guid":{"rendered":"http:\/\/www1.caminos.upm.es\/estructuras2\/?page_id=2181"},"modified":"2022-10-03T15:45:41","modified_gmt":"2022-10-03T15:45:41","slug":"comportamiento-no-lineal-de-estructuras","status":"publish","type":"page","link":"http:\/\/www1.caminos.upm.es\/estructuras2\/es\/asignaturas-optativas-de-master\/master-ccp\/comportamiento-no-lineal-de-estructuras\/","title":{"rendered":"Comportamiento no lineal de estructuras"},"content":{"rendered":"<p><a href=\"http:\/\/www1.caminos.upm.es\/estructuras2\/es\/asignaturas-optativas-de-master\/master-ccp\/\">&lt;-Volver ICCP<\/a>\u00a0 o\u00a0 <a href=\"http:\/\/www1.caminos.upm.es\/estructuras2\/es\/asignaturas-optativas-de-master\/master-ecm\/\">&lt;- Volver IECM<\/a><div class=\"fusion-fullwidth fullwidth-box hundred-percent-fullwidth non-hundred-percent-height-scrolling\"  style='background-color: rgba(255,255,255,0);background-position: center center;background-repeat: no-repeat;padding-top:0px;padding-right:0px;padding-bottom:0px;padding-left:0px;'><div class=\"fusion-builder-row fusion-row \"><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-1 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-1 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Comportamiento no lineal de estructuras<\/p><\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-2 fusion-one-half fusion-column-first 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-slider-sc flexslider flexslider-hover-type-none\" style=\"max-width:100%;height:100%;\"><ul class=\"slides\">\n<li class=\"image\"><span class=\"hover-type-none\"><img loading=\"lazy\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/C\u00e1lculoNoLinealEstructuras-e1557333353775.jpg\" width=\"945\" height=\"338\" \/><\/span><\/li>\n<li class=\"image\"><span class=\"hover-type-none\"><img loading=\"lazy\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/C\u00e1lculoNoLinealEstructuras-1-e1557414804234.jpg\" width=\"450\" height=\"335\" \/><\/span><\/li>\n<\/ul><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-3 fusion-one-half fusion-column-last 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-text\"><p>En la asignatura de Comportamiento No Lineal de Estructuras se estudian los efectos que, sobre el comportamiento de las estructuras, tiene la asunci\u00f3n realista de la falta de proporcionalidad entre las acciones y sus efectos, debido a que los materiales no son ideales o a que los movimientos no son lo suficientemente peque\u00f1os. Se analizan los distintos tipos de no linealidad, se desarrollan modelos continuos (vigas, placas, cables) y discretos (C\u00e1lculo Matricial y Elementos Finitos) y se aplican a numerosos ejemplos.<\/p>\n<\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-4 fusion-one-half fusion-column-first 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-2 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">M\u00e1s informaci\u00f3n<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-text\"><p>Se requiere conocer en profundidad los temas contenidos en las siguientes asignaturas: Resistencia de Materiales (2\u00ba Grado ICT), C\u00e1lculo de Estructuras (3\u00ba Grado ICT), Ingenier\u00eda Estructural (4\u00ba Grado ICT) y C\u00e1lculo Avanzado de Estructuras (2\u00ba M\u00e1ster ICCP).<\/p>\n<h3><a href=\"https:\/\/caminos.upm.es\/wp-content\/uploads\/2022\/08\/04AG_2022-23_TOMO_II_V2AED.pdf#page=216\" target=\"_blank\" rel=\"noopener noreferrer\">Gu\u00eda de aprendizaje completa ICCP<\/a><\/h3>\n<h3><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2022-23\/1S\/GA_04AM_43000427_1S_2022-23.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Gu\u00eda de aprendizaje completa IECM<\/a><\/h3>\n<\/div><span class=\"fusion-imageframe imageframe-none imageframe-1 hover-type-none\"><img loading=\"lazy\" src=\" \" width=\"\" height=\"\" alt=\"\" title=\"Comportamiento no lineal de estructuras\" class=\"img-responsive\"\/><\/span><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_2 fusion-builder-column-5 fusion-one-half fusion-column-last 1_2\"  style='margin-top:0px;margin-bottom:20px;width:48%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-3 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Temario resumido<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-text\"><ol>\n<li>Introducci\u00f3n: causas y consecuencias de la no linealidad. Ejemplos<\/li>\n<li>No Linealidad Geom\u00e9trica (NLG): tipos de NLG, medidas de deformaci\u00f3n y tensiones conjugadas<\/li>\n<li>NLG. Planteamiento anal\u00edtico. Barras: teor\u00eda de Euler y limitaciones, grandes movimientos<\/li>\n<li>NLG. Planteamiento anal\u00edtico. Lajas: ecuaci\u00f3n de estado, m\u00e9todos de Navier, Levy-Nadai y energ\u00e9tico<\/li>\n<li>NLG. Planteamiento anal\u00edtico. Cables: cargas puntuales y repartidas, el cable portante y el tirante<\/li>\n<li>NLG. C\u00e1lculo de Segundo Orden: c\u00e1lculo matricial y elementos finitos<\/li>\n<li>NLG. C\u00e1lculo en Grandes Movimientos<\/li>\n<li>No Linealidad del Material<\/li>\n<li>C\u00e1lculo Din\u00e1mico No Lineal<\/li>\n<li>Formato de Seguridad en C\u00e1lculo No Lineal<\/li>\n<\/ol>\n<\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-6 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-sep-clear\"><\/div><div class=\"fusion-separator fusion-full-width-sep sep-none\" style=\"margin-left: auto;margin-right: auto;margin-top:;\"><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_1 fusion-builder-column-7 fusion-one-full fusion-column-first fusion-column-last fusion-column-no-min-height 1_1\"  style='margin-top:0px;margin-bottom:0px;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-title title fusion-title-4 fusion-title-size-one\" style=\"margin-top:0px;margin-bottom:0px;\"><h1 class=\"title-heading-left\" style=\"margin:0;\">Profesorado<\/h1><div class=\"title-sep-container\"><div class=\"title-sep sep-single sep-solid\" style=\"border-color:#e0dede;\"><\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_3 fusion-builder-column-8 fusion-one-third fusion-column-first 1_3\"  style='margin-top:0px;margin-bottom:20px;width:30.6666%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-1 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img loading=\"lazy\" class=\"person-img img-responsive wp-image-2197\" width=\"183\" height=\"183\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/FotoJMArrieta-e1557411159383.jpg\" alt=\"Jos\u00e9 M\u00aa Arrieta Torrealba \" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Jos\u00e9 M\u00aa Arrieta Torrealba <\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Soy riojano, de la quinta del 56, Ingeniero Industrial Mec\u00e1nico, Doctor Ingeniero de Caminos, Profesor Titular e Ingeniero de Caminos del Cuerpo. He dedicado mi vida profesional a entender el comportamiento de las estructuras reales, desde la investigaci\u00f3n, la docencia y el ejercicio profesional como proyectista. Soy representante espa\u00f1ol en el desarrollo de normas estructurales internacionales.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_3 fusion-builder-column-9 fusion-one-third 1_3\"  style='margin-top:0px;margin-bottom:20px;width:30.6666%; margin-right: 4%;'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-2 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img loading=\"lazy\" class=\"person-img img-responsive wp-image-3392\" width=\"183\" height=\"183\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2022\/10\/imagen_recortada3-768x1008-2-e1664807567209.jpg\" alt=\"Miguel Fern\u00e1ndez Ruiz\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Miguel Fern\u00e1ndez Ruiz<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Dr. Ingeniero de Caminos. Catedr\u00e1tico de Universidad.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><div  class=\"fusion-layout-column fusion_builder_column fusion_builder_column_1_3 fusion-builder-column-10 fusion-one-third fusion-column-last 1_3\"  style='margin-top:0px;margin-bottom:20px;width:30.6666%'>\n\t\t\t\t\t<div class=\"fusion-column-wrapper\" style=\"background-position:left top;background-repeat:no-repeat;-webkit-background-size:cover;-moz-background-size:cover;-o-background-size:cover;background-size:cover;\"   data-bg-url=\"\">\n\t\t\t\t\t\t<div class=\"fusion-person person fusion-person-left fusion-person-3 fusion-person-icon-top\"><div class=\"person-shortcode-image-wrapper\"><div class=\"person-image-container hover-type-none person-rounded-overflow\" style=\"-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;border:0px solid #f6f6f6;-webkit-border-radius:0px;-moz-border-radius:0px;border-radius:0px;\"><img loading=\"lazy\" class=\"person-img img-responsive wp-image-2196\" width=\"183\" height=\"183\" src=\"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-content\/uploads\/2019\/05\/Foto-MMadrid-e1557411202345.jpg\" alt=\"Mercedes Madrid Ramos\" \/><\/div><\/div><div class=\"person-desc\"><div class=\"person-author\"><div class=\"person-author-wrapper\"><span class=\"person-name\">Mercedes Madrid Ramos<\/span><span class=\"person-title\"><\/span><\/div><\/div><div class=\"person-content fusion-clearfix\">Soy de Cartagena, Ingeniera de Caminos. Estudi\u00e9 la carrera en Madrid. Trabajo en la direcci\u00f3n t\u00e9cnica de una constructora. Comenc\u00e9 a trabajar como Profesora Titular Interina en la Escuela de Obras P\u00fablicas, y desde el 2014 soy Profesora Asociada en la Escuela de Caminos.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-clearfix\"><\/div>\n\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&lt;-Volver ICCP\u00a0 o\u00a0 &lt;- Volver IECM<\/p>\n","protected":false},"author":5,"featured_media":0,"parent":2018,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2181"}],"collection":[{"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/comments?post=2181"}],"version-history":[{"count":36,"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2181\/revisions"}],"predecessor-version":[{"id":3409,"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2181\/revisions\/3409"}],"up":[{"embeddable":true,"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/pages\/2018"}],"wp:attachment":[{"href":"http:\/\/www1.caminos.upm.es\/estructuras2\/wp-json\/wp\/v2\/media?parent=2181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}