本文使用有限元素法的共用節點(joint nodes)、耦合(couple)及接觸(contact)作為結構的連結方式,根據樑元素及薄殼元素之物理意義,探討連結方式的限制性,在前處理建模作連結時間的便易性,以及分析結果差異性的比較。本文以兩平行懸臂樑結構,圓柱垂直於板結構,以及樑平行於板結構作為分析的模型,使用實體元素的分析結果為基準,與樑元素及薄殼元素的模型分析結果相比較;樑元素根據Timoshenko樑理論建模,薄殼元素根據Mindlin-Reissner薄殼理論建模。
This thesis presents a FEM method which use joint nodes, couple and contact to connect the models of a structure, also discusses limitations of these approaches, the conveniences of pre-process modeling, and the differences of analysis results on the basis of beam element and shell element. The FEM models, which are two parallel cantilerel beams, a cylinder vertical to a thin plate and a beam paralleled a plate, compared to the analysis results of using beam element and shell element according to solid element; beam elements are based on Timoshenko beam theory, shell elements are based on Mindlin-Reissner shell theory.