サブパラメトリック帯板要素による薄板の曲げ解析

抄録

Finite strip method has not been used for the analysis of structures having irregular geometry and its applications are considerably restricted. Then, sub-parametric strip elements are presented on the bending analysis of thin plates in arbitrary shape. In the formulation of the strips, the following techniques are adopted: the element shape is defined by nodal coordinates and the mapping procedure used in the ordinary finite element approach; the parent elements of the strips are thick strips having an internal nodal line and a bubble mode; the series used in the displacement functions are given by polynomials instead of the commonly used eigenfunctions; and the sub-parametric strips are formulated by the help of the discrete Kirchhoff constraint conditions and a procedure of condensation. Finally, the versatility and accuracy are illustrated through several numerical examples.