不確定構造システムの区間有限要素解析に関する研究 : 形状不確定性を有するトラス構造の静解析

概要

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In the Interval Finite Element Analysis of structure the uncertainties given by the interval are studied within the finite element formulation to determine the sharp bounds of the displacement response. Two approaches namely, the Direct Interval Finite Element Analysis (DIFEA) and the Iterative Interval Finite Element Analysis (IIFEA) are proposed to obtain the sharp solution as much as possible. 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.
2001-10-25