Optimal design for thin-walled box beam based on material strength reliability

Abstract

According to the reliability of material strength, the optimal design for the cross sectional size of thin-walled box beam was studied. Firstly the cross sectional size as design random variable was determined, then its stochastic nature was researched, with which the objective function is to seek the maximum reliability of the beam under given constraint conditions. This way is not the same as the conventional optimal design for the minimum weight of the material. With establishing the optimal objective, the reliability of the material under conditions of static and fatigue was considered. The corresponding calculated expression are given. Normally the cross section sizes are fitted to the normal distribution, for the simplification of the design variable, the variation of the section size is assumed as a dependent variable proportional to the mean of the size. The way is different not only with the conventional optimal design but also with the common reliability design. The maximum reliability of material is obtained, meanwhile the are of the cross section is reduced, i. e., the weight of the material is decreased.