Optimal Design for Reliability with Lognormally Distributed Stress and Strength

대수(對數) 정규분포(正規分布)를 하는 부하(負荷)와 강도(强度) 신뢰성(信賴性)모델에서의 최적화(最適化) 설계(設計)에 관(關)한 연구(硏究)(I)

Mechanical components and structures are a major part of complex systems and the conseguences of their failure can be extremely costly. The ultimate goal of design engineers is to optimize these mechanical and structural design from the point of view of cost, reliability, weight, volume, maintainability and safety. An essential requirement of design optimization is to develop mathematical models for reliability at design stage. This paper is to minimize the cost of resources subject to the constraint that the reliability of the system must meet a specified level. The lagrange multiplier method is used to optimize the lognormal stress-lognormal strength problem. This optimization problem can be reduced to a search problem in one variable. A numerical example is presented to illustrate the optimization problem.