Reliability-based Design Optimization of Structures with Disturbed Design Variables and Dependent Uncertainties

Abstract

To ensure the safety of engineering structures under disturbed design variables and dependent uncertainties, a new reliability-based design optimization method was proposed in this paper. The optimization model was firstly established by adding the additional constraints that considers the disturbance of design variables. Then, the multidimensional parallelepiped model was used to describe the uncertainties and to further process their correlation. Further, the structural reliability was analyzed by interval analysis and reliability-based possibility degree of interval model. Finally, the solving algorithm was constructed. Such the algorithm was applied to a numerical example and the structural design of augmented reality glasses, among which the former demonstrated the effectiveness of proposed algorithm in dealing with disturbance of design variables and correlation between uncertainties, while the latter showed the applicability of the algorithm in engineering structural design.