ティモシェンコ梁の有限要素剛性方程式誘導のための縮約法

概要

論文の詳細を見る
In the analysis of higher order beam models, whose deformation involves shearing and warping components, the standard procedure of the displacement assumed FEM can not directly be applied to obtain a correct solution. Neither conventional superposition process of element stiffness matrices nor introduction manner of boundary conditions can be justified on the stiffness equations derived simply by means of the principle of virtual work or the principle of minimum total potential energy. In the present paper, a contraction method to derive an independent set of stiffness equations from the original redundant set of stiffness equations is proposed and presented for the Timoshenko beams chosen as the simplest model. A correct solution can be obtained by applying the standard solution procedure to the contracted element stiffness matrices. The validity of this method is verified by comparing the contracted stiffness equations with the exact analytical solution of displacement fields.
一般社団法人日本建築学会の論文
1993-03-20