3112 信頼性に基づくトポロジー最適設計へのSLSV法の適用

概要

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This research applies SLSV (Single-Loop-Single-Variable) method to reliability-based topology optimization (RBTO) for frame structures to improve computational efficiency. The design problem is formulated to minimize the structural volume of frame structure in terms of cross-sectional area of each frame element under the two reliability constraints. The two mode reliability criteria consists of the mean compliance and the mean eifenfrequency criterion under variations on applied loads and nonstructural mass. Through numerical examples, higher computational efficiency of the SLSV method and approximation accuracy of the reliability indices are demonstrated in comparison with those by the conventional double loop method that mode reliabilities are evaluated by the first order reliability method (FORM). It is found that the SLSV method has higher accuracy of reliability approximation and reduces the computational cost to the amount of the deterministic optimization problem.
2008-09-26