2203 不確定性を有する構造システムの区間有限要素解析 : 平面トラス構造の形状不確定性に関する研究

概要

論文の詳細を見る
In the interval Finite Element Analysis(FEA) of structure the uncertainties given by the intervals are studied within the finite element formulation to determine the sharp bounds of the displacement response. Two approaches namely, the Direct Interval FEA(DIFEA) and the Iterative Interval FEA(IIFEA) are proposed to obtain the sharp solution. In DIFEA, each step of the standard FEA, using ordinary real arithmetic, is simply replaced with the corresponding interval arithmetic step. In IIFEA, the interval structural analysis is formulated as a nonlinear optimization problem, while components of the displacement vector as well as parameters of the structural system with uncertainties are dealt as decision variables. A specific component of the displacement vector is considered as the objective function, which is minimized and maximized to obtain the lower and upper bounds. Validation of these methods is tested to the analysis of truss structural systems with uncertainties in nodal coordinates.
2001-01-16