Reliability optimization design for product key structure based on integration dimension-reduction considering high-dimensional heterogeneous uncertainties

Reliability optimization design of key structure for complex products focuses on searching the optimal values of the design variables on the premise of meeting the reliability requirements, which is an important way to ensure product performance and improve human experience. It is worth noting that uncertainty factors arc ubiquitous and diverse in the process of structural design, especially interval uncertainty and random uncertainty often exist at the same time and have high parameter dimensions, making traditional design methods no longer applicable. Therefore, a novel method of reliability optimization design for product key structure based on integration dimension-reduction was put forward that taken the high-dimensional heterogeneous uncertainties including random factors and interval factors into consideration. With the Kriging approximation modeling and the multi-objective particle swarm intelligence algorithm, the efficient double-layer nesting computing framework of reliability optimization for high-dimensional heterogeneous uncertainties product key structure was established. The inner layer was reliability analysis with integration dimension-reduction, where the random variables and interval variables in performance function for key structure were analyzed according to univariate dimension-reduction and Taylor expansion respectively. The upper and lower limits of performance function for key structure were obtained by the superposition of the low-dimensional integrations which were converted with the Gaussian integration to calculate the reliability of the key structure quickly. The outer layer was the iterative optimization with a multi-objective particle swarm optimization algorithm based on the reliability analysis results in inner layer, and the design vectors that could meet the reliability requirements were optimized by objective functions to obtain the optimal design vector. The calculation cost of reliability optimization design for product key structures with high-dimensional heterogeneous uncertainties could be reduced in this way. The rationality and superiority of the proposed method were verified by a case study of beam design for a large hydraulic press. © 2024 CIMS. All rights reserved.