• 论文 •

### 填充式防护结构弹道极限方程的差异演化优化

1. 1. 北京航空航天大学 宇航学院, 北京 100083;
2. 中国空间技术研究院 总体部, 北京 100094
• 收稿日期:2017-08-01 出版日期:2018-07-20 发布日期:2018-07-25
• 通讯作者: 贾光辉.E-mail:jiaguanghui@buaa.edu.cn E-mail:jiaguanghui@buaa.edu.cn
• 作者简介:贾光辉 男,博士,副教授。主要研究方向：飞行器结构分析与撞击动力学响应;姚光乐 男,硕士研究生。主要研究方向：飞行器设计。

### Differential evolution optimization for stuffed Whipple shield ballistic limit equations

JIA Guanghui1, YAO Guangle1, ZHANG Shuai2

1. 1. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. Institute of Spacecraft System Engineering, China Academy of Space, Beijing 100094, China
• Received:2017-08-01 Online:2018-07-20 Published:2018-07-25

Abstract: There are 11 parameters in the form of domestic integrated modeling of ballistic limit equations. Theoretically, the exhaustion method can be used to obtain the numerical value, but the computation time is too long and the storage space is huge, so it is not suitable to realize. To solve this problem, differential evolution algorithm is used. Based on the domestic data of stuffed Whipple shield, the differential evolution algorithm is applied to optimize 11 undetermined parameters of the formal ballistic limit equation of the integrated modeling. The optimization results show that the totality predicted rate is 82.35%, the safety predicted rate is 100%, and the average sum of squared prediction relative errors is 0.001 3. Based on 49 experimental data from other sources for predictive testing, the prediction test shows that the totality predicted rate is raised by 1.32%, the safety predicted rate is reduced by 4.08%, and the average sum of squared prediction relative errors is increased by 0.007 3. It shows that the differential evolution algorithm is suitable for solving the ba-llistic limit equation modeling of multiple parameters and multiple targets.