{"id":10381,"date":"2023-10-31T15:49:38","date_gmt":"2023-10-31T15:49:38","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&#038;p=10381"},"modified":"2024-04-15T07:31:02","modified_gmt":"2024-04-15T07:31:02","slug":"slender-beam-cantilever-tapered-section-eigenfrequencies","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/nl\/knowledge-base\/slender-beam-cantilever-tapered-section-eigenfrequencies\/","title":{"rendered":"DLL 05: Slender beam \u2013 cantilever \u2013 tapered section \u2013 eigenfrequencies"},"content":{"rendered":"<h2>Description<\/h2>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-10390 aligncenter\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a.png\" alt=\"\" width=\"555\" height=\"121\" srcset=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a.png 555w, https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a-300x65.png 300w, https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a-50x11.png 50w, https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a-60x13.png 60w, https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09a-35x8.png 35w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<div class=\"su-table\">\n<table>\n<tbody>\n<tr>\n<th rowspan=\"2\">Material<\/th>\n<td><\/td>\n<td>Modulus of elasticity<\/td>\n<td><img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-974da4fa372b578fd752bccb38fa0692_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#069;&#061;&#050;&#048;&#048;&#032;&#048;&#048;&#048;&#032;&#078;&#047;&#109;&#109;&#094;&#050;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"154\" style=\"vertical-align: -5px\" \/><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Density<\/td>\n<td><img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-b5e3bb28246d41f992341c90ee42bb7a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#092;&#114;&#104;&#111;&#061;&#055;&#056;&#053;&#048;&#032;&#107;&#103;&#047;&#109;&#094;&#051;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"119\" style=\"vertical-align: -5px\" \/><\/td>\n<\/tr>\n<tr>\n<th rowspan=\"4\">Geometry<\/th>\n<td>Cross-section<\/td>\n<td>In point A<\/td>\n<td><img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-a971f51693efce0de415823557df9a71_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#098;&#032;&#061;&#032;&#104;&#032;&#061;&#032;&#052;&#048;&#032;&#109;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"114\" style=\"vertical-align: 0px\" \/><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>In point B<\/td>\n<td><img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-f64f8c6f1537b44af0d51bd25cd81dc9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#098;&#032;&#061;&#032;&#104;&#032;&#061;&#032;&#049;&#048;&#032;&#109;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"114\" style=\"vertical-align: 0px\" \/><\/td>\n<\/tr>\n<tr>\n<td>Boundary conditions<\/td>\n<td>In point A<\/td>\n<td>Fixed support<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td>Along line AB<\/td>\n<td><img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-4c138d53e4e914e6548ae7793a3c102d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#082;&#095;&#122;&#044;&#032;&#077;&#095;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"54\" style=\"vertical-align: -4px\" \/> and <img loading=\"lazy\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/ql-cache\/quicklatex.com-a6e557e65e82d72f83e77be9fdb24fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#077;&#095;&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"24\" style=\"vertical-align: -6px\" \/> fixed to impose 2D behaviour<\/td>\n<\/tr>\n<tr>\n<th>Mesh<\/th>\n<td><\/td>\n<td>No. of divisions<\/td>\n<td>10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2>Results<\/h2>\n<div class=\"su-table\">\n<table>\n<tbody>\n<tr>\n<th>Eigen mode<\/th>\n<th>Shape<\/th>\n<th>Independent reference<\/th>\n<th>Diamonds<\/th>\n<th>Difference<\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">1<\/td>\n<td>&nbsp;<img loading=\"lazy\" class=\"alignnone size-full wp-image-10385\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09b1.png\" alt=\"\" width=\"517\" height=\"171\" \/><\/td>\n<td style=\"text-align: center\">54,18Hz<\/td>\n<td style=\"text-align: center\">53,97Hz<\/td>\n<td style=\"text-align: center\">-0,39%<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">2<\/td>\n<td><img loading=\"lazy\" class=\"alignnone size-large wp-image-10386\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09b2.png\" alt=\"\" width=\"544\" height=\"171\" \/><\/td>\n<td style=\"text-align: center\">171,94Hz<\/td>\n<td style=\"text-align: center\">171,18Hz<\/td>\n<td style=\"text-align: center\">-0,44%<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">3<\/td>\n<td><img loading=\"lazy\" class=\"alignnone size-large wp-image-10387\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09b3.png\" alt=\"\" width=\"546\" height=\"171\" \/><\/td>\n<td style=\"text-align: center\">384,40Hz<\/td>\n<td style=\"text-align: center\">382,67Hz<\/td>\n<td style=\"text-align: center\">-0,45%<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">4<\/td>\n<td><img loading=\"lazy\" class=\"alignnone size-large wp-image-10388\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09b4.png\" alt=\"\" width=\"548\" height=\"171\" \/><\/td>\n<td style=\"text-align: center\">697,24Hz<\/td>\n<td style=\"text-align: center\">693,99Hz<\/td>\n<td style=\"text-align: center\">-0,47%<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center\">5<\/td>\n<td><img loading=\"lazy\" class=\"alignnone size-large wp-image-10389\" src=\"https:\/\/support.buildsoft.eu\/wp-content\/uploads\/2023\/10\/SDLL09b5.png\" alt=\"\" width=\"545\" height=\"171\" \/><\/td>\n<td style=\"text-align: center\">1112,28Hz<\/td>\n<td style=\"text-align: center\">1106,94Hz<\/td>\n<td style=\"text-align: center\">-0,48%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<h2>References<\/h2>\n<div>\n<ul>\n<li>M\u00e9caniciens, S. F. D. (1990). <i>Guide de validation des progiciels de calcul des structures: SDLL 09: vibration d&#8217;une poutre \u00e9lanc\u00e9e de section rectangulaire variable (encastr\u00e9e-libre).<\/i><\/li>\n<\/ul>\n<ul>\n<li>Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Description Results References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 09: vibration d&#8217;une poutre \u00e9lanc\u00e9e de section rectangulaire variable (encastr\u00e9e-libre).<\/p>\n","protected":false},"author":3,"comment_status":"closed","ping_status":"closed","template":"","format":"standard","meta":[],"ht-kb-category":[1206],"ht-kb-tag":[],"_links":{"self":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10381"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/comments?post=10381"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10381\/revisions"}],"predecessor-version":[{"id":12806,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb\/10381\/revisions\/12806"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/media?parent=10381"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-category?post=10381"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/nl\/wp-json\/wp\/v2\/ht-kb-tag?post=10381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}