{"id":511,"date":"2018-04-24T10:00:00","date_gmt":"2018-04-24T08:00:00","guid":{"rendered":"https:\/\/blogs.autodesk.com\/villagebim\/2018\/04\/autodesk-robot-structural-analysis-force-ponctuelle-et-maillage-elements-finis.html"},"modified":"2018-04-24T10:00:00","modified_gmt":"2018-04-24T08:00:00","slug":"autodesk-robot-structural-analysis-force-ponctuelle-et-maillage-elements-finis","status":"publish","type":"post","link":"https:\/\/blogs.autodesk.com\/villagebim\/2018\/04\/autodesk-robot-structural-analysis-force-ponctuelle-et-maillage-elements-finis.html","title":{"rendered":"Autodesk Robot Structural Analysis : Force ponctuelle et maillage \u00e9l\u00e9ments finis"},"content":{"rendered":"<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4b1970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image002\" border=\"0\" height=\"236\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4b5970d-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image002\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;&#160;&#160;&#160;<\/p>\n<p style=\"text-align: justify\">Le logiciel <a href=\"https:\/\/www.autodesk.com\/products\/robot-structural-analysis\/overview\">Autodesk Robot Structural Analysis<\/a> offre la possibilit\u00e9 d\u2019utiliser la m\u00e9thode des \u00e9l\u00e9ments finis (MEF) afin de d\u00e9terminer les forces internes au sein d\u2019\u00e9l\u00e9ments surfaciques ou volumiques. L\u2019utilisation de forces ponctuelles est tr\u00e8s singuli\u00e8re car elle produit une forte discontinuit\u00e9 au droit de celles-ci. En toute logique, il n\u2019existe pas de force ponctuelle car g\u00e9n\u00e9ralement, elle s\u2019applique sur une certaine surface si petite soit-elle. N\u00e9anmoins, les calculateurs l\u2019utilisent pour des raisons de simplicit\u00e9.<\/p>\n<p style=\"text-align: justify\">Ci-dessous, je vous montre sur un exemple le ph\u00e9nom\u00e8ne et comment s\u2019approcher au plus pr\u00e8s de la r\u00e9alit\u00e9.<\/p>\n<p style=\"text-align: justify\">&#160;&#160;&#160;&#160;Avec le logiciel <a href=\"https:\/\/www.autodesk.com\/products\/robot-structural-analysis\/overview\">Autodesk Robot Structural Analysis<\/a>, apr\u00e8s avoir mod\u00e9lis\u00e9 une plaque rectangulaire sur deux appuis lin\u00e9aires (de type rotule) sur les deux petits c\u00f4t\u00e9s, je viens appliquer une charge ponctuelle hors des n\u0153uds du maillage \u00e9l\u00e9ments finis.<\/p>\n<p style=\"text-align: justify\">Cliquez sur l\u2019ic\u00f4ne \u00ab <em>Chargement<\/em> \u00bb puis sur \u00ab <em>Force dans le point<\/em> \u00bb, ainsi vous pouvez placer une charge ponctuelle hors des points du maillage comme le montre l\u2019image ci-dessous :<\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b8d2e6be38970c-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image004\" border=\"0\" height=\"238\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4ba970d-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image004\" width=\"454\" \/><\/a><\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b7c95c7f1c970b-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image006\" border=\"0\" height=\"190\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b7c95c7f20970b-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image006\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\">Apr\u00e8s le calcul de la R\u00e9sistance Des Mat\u00e9riaux, nous constatons un pic d\u2019effort sous la charge ponctuelle.<\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4c4970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image008\" border=\"0\" height=\"217\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b7c95c7f24970b-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image008\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\">N\u00e9anmoins pour s\u2019approcher de la r\u00e9alit\u00e9, il faut affiner le maillage au point d\u2019application de la charge. En ce sens, vous pouvez utiliser un maillage de type \u00ab goutte d\u2019eau \u00bb. Rendez-vous, dans les options de maillage, choisissez :<\/p>\n<ul>\n<li>\u00ab <em>Option avanc\u00e9s<\/em> \u00bb,<\/li>\n<li>M\u00e9thode de maillage \u00ab <em>Delaunay<\/em> \u00bb,<\/li>\n<li>Param\u00e8tre de la m\u00e9thode Delaunay : \u00ab <em>Delaunay + Kang<\/em> \u00bb,<\/li>\n<li>\u00ab <em>Emetteur utilisateur<\/em> \u00bb.<\/li>\n<\/ul>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4d8970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image010\" border=\"0\" height=\"172\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b8d2e6be40970c-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image010\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\">Ensuite, nous allons placer un \u00e9metteur au point d\u2019application de la charge.<\/p>\n<p style=\"text-align: justify\">Avant de pr\u00e9ciser les cordonn\u00e9es de l\u2019\u00e9metteur graphiquement sous la charge, entrez la valeur de H0 (il s\u2019agit de la premi\u00e8re largeur de l\u2019onde de l\u2019\u00e9metteur, voir <a href=\"http:\/\/www.autodesk.com\/rsapro-help-2018-fra?contextId=HIDD_EMIT\">aide<\/a> ).<\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4f1970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image011\" border=\"0\" height=\"321\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b7c95c7f2a970b-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image011\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\">Apr\u00e8s avoir relanc\u00e9 les calculs, vous d\u00e9couvrez le maillage de \u00ab type goutte \u00bb d\u2019eau sous la charge.<\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4f7970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image013\" border=\"0\" height=\"156\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b8d2e6be47970c-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image013\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\"><strong><u>R\u00e9sultat des efforts internes :<\/u><\/strong><\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4fb970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image015\" border=\"0\" height=\"171\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb4ff970d-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image015\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\"><strong><u>Cas d\u2019appuis ponctuels.<\/u><\/strong><\/p>\n<p style=\"text-align: justify\">&#160;&#160;&#160;&#160;Un appui ponctuel, par exemple un poteau (ou voile) sous une dalle en b\u00e9ton arm\u00e9, au m\u00eame titre que la charge ponctuelle va occasionner une discontinuit\u00e9 d\u2019efforts. Il est alors possible, dans le logiciel <a href=\"https:\/\/www.autodesk.com\/products\/robot-structural-analysis\/overview\">Autodesk Robot Structural Analysis<\/a>, lors de la cr\u00e9ation de l\u2019appui de prendre en compte la surface d\u2019influence de celui-ci.<\/p>\n<ul>\n<li>Cliquez sur la cr\u00e9ation d\u2019un nouvel appui,<\/li>\n<li>Bouton \u00ab <em>Avanc\u00e9\u2026<\/em> \u00bb,<\/li>\n<li>S\u00e9lectionnez \u00ab <em>Poteau \/ Circulaire<\/em> \u00bb,<\/li>\n<li>Sp\u00e9cifiez les dimensions.<\/li>\n<\/ul>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b8d2e6be4b970c-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image017\" border=\"0\" height=\"194\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b8d2e6be4f970c-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image017\" width=\"454\" \/><\/a><\/p>\n<p style=\"text-align: justify\">&#160;<\/p>\n<p style=\"text-align: justify\"><strong><u>Ferraillage th\u00e9orique.<\/u><\/strong><\/p>\n<p style=\"text-align: justify\">&#160;&#160;&#160;&#160;Dans le cas de calcul de ferraillages th\u00e9oriques, pour prendre en compte les effets de discontinuit\u00e9 et de surface d\u2019influence d\u2019appuis, il faudra activer l\u2019option \u00ab <em>R\u00e9duction des forces au-dessus des poteaux et voiles <\/em>\u00bb puis cliquer sur le bouton \u00ab <em>Calculer<\/em> \u00bb.<\/p>\n<p><a href=\"http:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01bb09ffb503970d-pi\"><img loading=\"lazy\" decoding=\"async\" alt=\"clip_image019\" border=\"0\" height=\"172\" src=\"https:\/\/villagebim.typepad.com\/.a\/6a015391e15a28970b01b7c95c7f2f970b-pi\" style=\"background-image: none;margin-left: auto;margin-right: auto\" title=\"clip_image019\" width=\"454\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#160;&#160;&#160;&#160; Le logiciel Autodesk Robot Structural Analysis offre la possibilit\u00e9 d\u2019utiliser la m\u00e9thode des \u00e9l\u00e9ments finis (MEF) afin de d\u00e9terminer les forces internes au sein d\u2019\u00e9l\u00e9ments surfaciques ou volumiques. L\u2019utilisation de forces ponctuelles est tr\u00e8s singuli\u00e8re car elle produit une forte discontinuit\u00e9 au droit de celles-ci. En toute logique, il n\u2019existe pas de force ponctuelle [&hellip;]<\/p>\n","protected":false},"author":13092,"featured_media":2472,"menu_order":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[77,6],"tags":[731,20,44,730,729,732,123,225],"class_list":["post-511","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-simulations-analyses","category-trucs-et-astuces","tag-appui","tag-autodesk","tag-bim","tag-force-ponctuelle","tag-maillage","tag-poteau","tag-robot","tag-robot-structural-analysis","dhig-theme--light"],"acf":[],"_links":{"self":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts\/511","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/users\/13092"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/comments?post=511"}],"version-history":[{"count":0,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/posts\/511\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/media\/2472"}],"wp:attachment":[{"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/media?parent=511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/categories?post=511"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.autodesk.com\/villagebim\/wp-json\/wp\/v2\/tags?post=511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}