Proceedings ArticleDOI
Response Surface Approximations for Fatigue Life Prediction
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In this article, a response surface methodology is used to construct response surface approximations for the fatigue life of structures with complex geometry and/or loading conditions, which eliminates numerical noise, which is inherent to the numerical analysis procedures used to estimate the fatigue-life.Abstract:
Response surface methodology is used to construct response surface approximations for the fatigue life of structures with complex geometry and/or loading conditions. The smooth nature of the response surface approximations eliminates numerical noise, which is inherent to the numerical analysis procedures used to estimate the fatigue life. Procedures for constructing the required response surface approximations, as well as for implementing the resulting approximations in the design process, are discussed. The durability of a structure is introduced into the design process by including the minimum fatigue life as a constraint in a minimum weight optimization of the structure. The smoothness of the response surface approximations allows the use of a derivative based optimization in the design process. Two example problems, typical of the automotive industry, are evaluated to illustrate the proposed methodology. Both example problems have structures modeled by plate elements and the objective of the optimization problem is to find the optimum thickness distribution for a minimum specified fatigue life. It is shown that the thicknessread more
Citations
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References
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Book
Response Surface Methodology: Process and Product Optimization Using Designed Experiments
TL;DR: Using a practical approach, this book discusses two-level factorial and fractional factorial designs, several aspects of empirical modeling with regression techniques, focusing on response surface methodology, mixture experiments and robust design techniques.
Book ChapterDOI
On the Experimental Attainment of Optimum Conditions
George E. P. Box,K. B. Wilson +1 more
TL;DR: The work described in this article is the result of a study extending over the past few years by a chemist and a statistician, which has come about mainly in answer to problems of determining optimum conditions in chemical investigations, but they believe that the methods will be of value in other fields where experimentation is sequential and the error fairly small.
Journal ArticleDOI
Some New Three Level Designs for the Study of Quantitative Variables
George E. P. Box,D. W. Behnken +1 more
TL;DR: In this paper, a class of incomplete three level factorial designs useful for estimating the coefficients in a second degree graduating polynomial are described and the designs either meet, or approximately meet, the criterion of rotatability and for the most part can be orthogonally blocked.