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변근주,김왕구,한상훈 연세대학교 산업기술연구소 1981 논문집 Vol.13 No.1
The aim in this presentation is to explore the relationship between optimum design of structures and reliability of structures. In this paper, the concept of probability of failure is explained for a general structural system. The concept emphasized in the paper is the employment of probability of failure constraint in the mathematical programming problem to determine the set of design parameters which minimizes the weight of the truss structures. Specific reliability based optima for multi-member systems are shown for weakest-link structures which fail if any element fails. Several examples of optimization with failure probability constraints are presented, and then the sensitivity of optimum design to reliability level as well as parameters in the reliability analysis is discussed. The results presented indicate: 1) The results indicate the feasibility of using probability of failure constraints in solving for optimum m lti-member structural designs. 2) An important factor influencing the magnitude of the optimum design as well as its member sizes will be the choice of load and strength frequency distributions and their parameters particulary the coefficients of variation. 3) The optimum value increases with both allowable failure probability and increase in coefficients of variation. 4) The classical approach to optimum design using a safety factor to represent conservation often results in unnecessary weight and cost.
한상훈,변근주,김왕구 충북대학교 건설기술연구소 1982 建設技術論文集 Vol.1 No.1
The aim in this presentation is to explore the relationship between optimum design of structures and reliability of structures. In this paper, the concept of probability of failure is explained for a general structural system. The concept emphasized in the paper is the employment of probability of failure constraint in the mathematical programming problem to determine the set of design parameters which minimizes she weight of the truss structures. Specific reliability based optima for multi-member systems are shown for weakest-link structures which fail if any element fails. Several examples of optimization with failure probability constraints are presented, and then the sensitivity of optimum design to reliability level as well as parameters in the reliability analysis is discussed. The results presented indicate: 1) The results indicate the feasibility of using probability of failure constraints in solving for optimum m lti-member structural designs. 2) An important factor influencing the magnitude of the optimum design as well as its member sizes will be the choice of load and strength frequency distributions and their parameters particulary the coefficients of variation. 3) The optimum value increases with both allowable failure probability and increase in coefficients of variation. 4) The classical approach to optimum design using a safety factor to represent conservation often results in unnecessary weight and cost.