{"id":11576,"date":"2023-12-08T16:36:00","date_gmt":"2023-12-08T16:36:00","guid":{"rendered":"https:\/\/support.buildsoft.eu\/?post_type=ht_kb&p=11576"},"modified":"2024-04-15T07:32:34","modified_gmt":"2024-04-15T07:32:34","slug":"cantilever-beam-with-eccentric-mass-eigenfrequencies","status":"publish","type":"ht_kb","link":"https:\/\/support.buildsoft.eu\/es\/knowledge-base\/cantilever-beam-with-eccentric-mass-eigenfrequencies\/","title":{"rendered":"DLL 06: Cantilever beam with eccentric mass \u2013 eigenfrequencies"},"content":{"rendered":"

Description<\/h2>\n

\"\"<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n
Material<\/th>\nFor bar AB<\/td>\nModulus of elasticity<\/td>\n\"E=210 000 N/mm^2\"<\/td>\n<\/tr>\n
<\/td>\nDensity<\/td>\n\"\rho=7800 kg/m^3\"<\/td>\n<\/tr>\n
\u00a0For bar BC1<\/a><\/sup><\/td>\nModulus of elasticity<\/td>\n\"E=999 999 N/mm^2\"<\/td>\n<\/tr>\n
<\/td>\nDensity<\/td>\n\"\rho=0.010 kg/m^3\"<\/td>\n<\/tr>\n
Geometry<\/th>\nCross-section<\/td>\nFor all bars<\/td>\n\"d_e = 0.35m\"
\n\"d_i = 0.32 m\"<\/td>\n<\/tr>\n
Boundary conditions<\/td>\nIn point A<\/td>\nFixed support<\/td>\n<\/tr>\n
Loads<\/th>\n<\/td>\nCase 1:<\/td>\nMass of 1000 kg in point B.
\nBar BC is not present.<\/td>\n<\/tr>\n
<\/td>\nCase 2:<\/td>\nMass of 1000 kg in point C.
\nBar BC is present.<\/td>\n<\/tr>\n
Mesh<\/th>\n<\/td>\nNo. of divisions<\/td>\n12<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

1. The eccentricity of the mass is created by adding bar BC to the model. The purpose is that bar BC is significantly stiffer than bar AB.<\/sup><\/p>\n

Results<\/h2>\n

Case 1<\/h4>\n
\n\n\n\n\n\n\n\n\n\n
Eigen mode<\/th>\nShape<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
1<\/td>\n\"\"<\/td>\n1.65Hz<\/td>\n1.655Hz<\/td>\n-0.30%<\/td>\n<\/tr>\n
2<\/td>\n\"\"<\/td>\n16.07Hz<\/td>\n16.07Hz<\/td>\n0.00%<\/td>\n<\/tr>\n
3<\/td>\n\"\"<\/td>\n50.02Hz<\/td>\n50.027Hz<\/td>\n-0.01%<\/td>\n<\/tr>\n
4<\/td>\n\"\"<\/td>\n76.47Hz<\/td>\n76.45Hz<\/td>\n0.03%<\/td>\n<\/tr>\n
5<\/td>\n\"\"<\/td>\n80.47Hz<\/td>\n80.505Hz<\/td>\n-0.04%<\/td>\n<\/tr>\n
6<\/td>\n\"\"<\/td>\n103.2Hz<\/td>\n103.235Hz<\/td>\n-0.03%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Case 2<\/h4>\n
\n\n\n\n\n\n\n\n\n\n\n\n
Eigen mode<\/th>\nShape<\/th>\nIndependent reference<\/th>\nDiamonds<\/th>\nDifference<\/th>\n<\/tr>\n
1<\/td>\n\"\"<\/td>\n1.636Hz<\/td>\n1.635Hz<\/td>\n0.06%<\/td>\n<\/tr>\n
2<\/td>\n\"\"<\/td>\n1.642Hz<\/td>\n1.641Hz<\/td>\n0.06%<\/td>\n<\/tr>\n
3<\/td>\n\"\"<\/td>\n13.46Hz<\/td>\n13.391Hz<\/td>\n0.52%<\/td>\n<\/tr>\n
4<\/td>\n\"\"<\/td>\n13.59Hz<\/td>\n13.562Hz<\/td>\n0.21%<\/td>\n<\/tr>\n
5<\/td>\n\"\"<\/td>\n28.9Hz<\/td>\n28.821Hz<\/td>\n0.27%<\/td>\n<\/tr>\n
6<\/td>\n\"\"<\/td>\n31.96Hz<\/td>\n30.872Hz<\/td>\n3.52%<\/td>\n<\/tr>\n
7<\/td>\n\"\"<\/td>\n61.61Hz<\/td>\n61.618Hz<\/td>\n-0.01%<\/td>\n<\/tr>\n
8<\/td>\n\"\"<\/td>\n63.93Hz<\/td>\n61.969Hz<\/td>\n3.16%<\/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 15: poutre encastr\u00e9e-libre avec masse ou inertie excentr\u00e9e<\/i><\/li>\n<\/ul>\n
      \n
    • Tested in Diamonds 2026.<\/li>\n<\/ul>\n\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      Description 1. The eccentricity of the mass is created by adding bar BC to the model. The purpose is that bar BC is significantly stiffer than bar AB. Results Case 1 Case 2 References M\u00e9caniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 15:…<\/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\/es\/wp-json\/wp\/v2\/ht-kb\/11576"}],"collection":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb"}],"about":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/types\/ht_kb"}],"author":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/comments?post=11576"}],"version-history":[{"count":3,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/11576\/revisions"}],"predecessor-version":[{"id":12807,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb\/11576\/revisions\/12807"}],"wp:attachment":[{"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/media?parent=11576"}],"wp:term":[{"taxonomy":"ht_kb_category","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-category?post=11576"},{"taxonomy":"ht_kb_tag","embeddable":true,"href":"https:\/\/support.buildsoft.eu\/es\/wp-json\/wp\/v2\/ht-kb-tag?post=11576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}