{"id":10435,"date":"2023-11-03T17:22:20","date_gmt":"2023-11-03T17:22:20","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=10435"},"modified":"2023-12-01T10:47:24","modified_gmt":"2023-12-01T10:47:24","slug":"validation-slender-beam-fixed-at-both-ends-with-different-inertia-dynamic-response","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/fr\/knowledge-base\/validation-slender-beam-fixed-at-both-ends-with-different-inertia-dynamic-response\/","title":{"rendered":"DLL 03: slender beam fixed at both ends with different inertia – dynamic response"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n
Material<\/th>\n<\/td>\nModulus of elasticity<\/td>\n\"E=210 000 N/mm^2\"<\/td>\n<\/tr>\n
<\/td>\nDensity<\/td>\n\"\rho=7850 kg/m^3\"<\/td>\n<\/tr>\n
<\/td>\nPoisson\u2019s ratio<\/td>\n\"\nu= 0.3\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nFor bars AB<\/td>\nIPE 200<\/td>\n<\/tr>\n
<\/td>\nFor bar BB<\/td>\nIPE 300<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nIn points A<\/td>\nFixed support<\/td>\n<\/tr>\n
<\/td>\nAlong line AA<\/td>\n\"R_z, M_x\" and \"M_y\" fixed to impose 2D behaviour<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nAlong line AA<\/td>\nLinear force of \"q=10kN/m\" which varies in time
\n\"\"Damping: 0.00%<\/td>\n<\/tr>\n
Mesh<\/th>\n<\/td>\nNo. of divisions<\/td>\n20<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n
<\/span>How to model this dynamic action?<\/div>
\n
    \n
  • The relation between the time and the amplitude of load is should be entered relative to the period T.
    \n\"t_1/t_2 = 0,4\"
    \n\"\"<\/li>\n
  • The time-amplitude relation is scaled by defining \"t_2\" as peroid.
    \n\"\"<\/div><\/div><\/div><\/li>\n<\/ul>\n

    Results<\/h2>\n

    Eigen modes<\/h3>\n

    The eigen modes are calculated using the modal mass due to the self-weight. The load q does not contribute to this.<\/p>\n

    \n\n\n\n\n
    Eigen mode<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
    1<\/td>\n63,01Hz<\/td>\n63,19Hz<\/td>\n0,29%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    Dynamic response<\/h3>\n

    \"\"<\/p>\n

    Deformation \"\delta_y\" due to the dynamic load in Diamonds<\/strong><\/p>\n

    \n\n\n\n\n
    Eigen mode<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
    1<\/td>\n2,469mm<\/td>\n2,467mm<\/td>\n-0.08%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

    References<\/h2>\n
    \n
      \n
    • M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 03: <\/i><\/i>poutre \u00e9lanc\u00e9e encastr\u00e9e-encastr\u00e9e avec inerties diff\u00e9rentes<\/li>\n<\/ul>\n
        \n
      • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

        Description Results Eigen modes The eigen modes are calculated using the modal mass due to the self-weight. The load q does not contribute to this. Dynamic response Deformation  due to the dynamic load in Diamonds References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 03: poutre…<\/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\/fr\/wp-json\/wp\/v2\/ht-kb\/10435"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/comments?post=10435"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10435\/revisions"}],"predecessor-version":[{"id":11424,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb\/10435\/revisions\/11424"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/media?parent=10435"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-category?post=10435"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/fr\/wp-json\/wp\/v2\/ht-kb-tag?post=10435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}