変位・応力制約下における確率最適性基準を用いた信頼性設計法に関する研究(<小特集>信頼性工学小特集)

概要

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A number of studies have been carried out in past years on optimum design under the condition of probabilistic constraints. For example, Switzky derived a probabilistic optimality criterion for the structural design with stress constraints. However, few attempts have been made to formulate the probabilistic optimality criterion for the displacement constraint. In the present study, an attempt was made first to derive the probabilistic optimality displacement criterion for the minimum weight design by using the Lagrange multiplier method. Then, anew probabilistic optimality criteria method was proposed, which unifies Switzky's probabilistic optimality stress criterion and the present probabilistic optimality displacement criterion by using the envelope method. Two design examples were presented to demonstrate the efficiency and convergency of the method developed herein. The results shows that the proposed method can be used to optimize the structure having probabilistic stress and displacement constraints only in few cycles of trials, and hence it has a good convergency in comparison with other probabilistic optimum design methods using mathematical programming.
社団法人日本材料学会の論文
1985-03-15