マイクロコンピュータによる有限要素解析のための能率的な計算法 : 第5報,補強材のある分岐構造変断面ばり解析のためのLDU分解省略計算法

抄録

This paper presents an efficient calculation method which eliminates the LDU decomposition process of the stiffness matrix in numerical solutions of the finite element method (FEM). This method is applicable to an elastic analysis of multi-branched variable cross sectional beams available as reinforced members. The FEM using this method decreases CPU time and memory capacity in comparison with conventional FEM using the LDU process. In addition, the use of this method makes the FEM algorithm simple, and gives more accurate results. Moreover, another efficient method using both this method and an influence function method is presented for an analysis of reinforced beams. The analysis of the reinforced beam requires the calculation of the connective forces and/or moments acting on each connecting node between the original beam and reinforcing members. Therefore, these methods are effective for microcomputer aided FEM.