An uncertain optimization method for overall ballistics based on stochastic programming and a neural network surrogate model. Issue 4 (3rd April 2019)

• Record Type: Journal Article
• Authors: Wang, Liqun; Yang, Guolai; Sun, Qinqin; Ge, Jianli
• Is Part Of: Engineering optimization. Volume 51:Issue 4(2019)
• Page Start: 663
• Page End: 679
• Publication Date: 2019-04-03
• Subjects: Uncertain optimization -- overall ballistics -- stochastic programming -- multidisciplinary optimization -- neural network; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2018.1484122
• Languages: English
• ISSNs: 0305-215X

Abstract

ABSTRACT: A nonlinear stochastic programming method is proposed in this article to deal with the uncertain optimization problems of overall ballistics. First, a general overall ballistic dynamics model is achieved based on classical interior ballistics, projectile initial disturbance calculation model, exterior ballistics and firing dispersion calculation model. Secondly, the random characteristics of uncertainties are simulated using a hybrid probabilistic and interval model. Then, a nonlinear stochastic programming method is put forward by integrating a back-propagation neural network with the Monte Carlo method. Thus, the uncertain optimization problem is transformed into a deterministic multi-objective optimization problem by employing the mean value, the standard deviation, the probability and the expected loss function, and then the sorting and optimizing of design vectors are realized by the non-dominated sorting genetic algorithm-II. Finally, two numerical examples in practical engineering are presented to demonstrate the effectiveness and robustness of the proposed method.