幾何学的非線形構造応答の感度解析および再解析

概要

論文の詳細を見る
This paper describes a procedure for sensitivity analysis of geometrically nonlinear response of structural members. Firstly, elastic large deflection behaviour of rectangular plates under thrust is considered. For this case, fundamental equations are derived in an analytical form. Secondly, elastic large deflection behaviour of column under axial thrust is considered. For this case, fundamental equations are derived in the framework of the Finite Element Method. In both cases, reanalysis is performed according to the Taylor's Series Expansion Method using the sensitivities. Applying the proposed method, some example calculations are performed. It is known that the sensitivities show a singularity near the buckling load when the structural analysis is performed under load control condition. Owing to the singularity, the reanalysis solution shows discrepancies with the exact solution near the buckling load. The reanalysis solution is improved by introducing the higher order sensitivities. Such singularity and discrepancies are not observed in the displacement control analysis.
社団法人日本船舶海洋工学会の論文
1994-09-04