Uncertainty optimization design of an axially symmetric body using speed perturbation

Abstract

The paper presents a new design method for uncertainty shape optimization of an axially symmetric body influenced by speed perturbations. Four types of perturbation parameters (constant, interval, probability and interval probability) are addressed, and applicable methods for each type are investigated. First, two uncertainty optimization methods are introduced: interval optimization and distributionally robust optimization under moment uncertainty. Shape formulae of an autonomous underwater vehicle (AUV) with a revised method for calculating resistance are then described. Finally, a model for AUV hull form optimization is provided, and several case studies that use different uncertainty optimization methods and parameters are presented. The case studies verify the feasibility and superiority of the novel approach. The results show that the new uncertainty optimization design method is very adaptable and useful in the design of an axially symmetric body, such as an AUV.