[1]徐明友,丁松滨,徐直军.外弹道优化设计的随机模型[J].南京理工大学学报(自然科学版),1997,(05):23-26.
 XuMingyou DingSongbin XuZhijun.Random Model for Optimum Design of Exterior Ballistics[J].Journal of Nanjing University of Science and Technology,1997,(05):23-26.
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外弹道优化设计的随机模型()
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1997年05期
页码:
23-26
栏目:
出版日期:
1997-10-30

文章信息/Info

Title:
Random Model for Optimum Design of Exterior Ballistics
作者:
徐明友丁松滨徐直军
南京理工大学动力工程学院, 南京210094
Author(s):
XuMingyou DingSongbin XuZhijun
School of Dynamic Engineering NUST,Nanjing 210094
关键词:
外弹道学 随机 过程 优化设计 弹道 建立模型
Keywords:
exterior ballistics random processes optimum desig n ballist ic t rajectories model building
分类号:
TJ012
摘要:
该文给出了供弹箭弹道优化设计的随机弹道模型。模型包括弹箭飞行动力学方程、各干扰因素及其相关函数。外弹道方程以状态变量形式表示。采用协方差分析描述函数法,对阵风、推力偏心、动不平衡和起始扰动所引起的散布,可作为弹道系统的动态响应加以分析研究。其中风场随机过程采用PRESS模型;推力偏心作用过程被视为弱平稳随机过程,对其实验曲线的统计分析表明,其自协方差函数为指数衰减型。基于干扰函数与状态变量间的协方差关系,文中给出了该协方差的微分方程。将它与弹道状态变量方差矩阵方程联立,便可得到角偏差的解。以火箭弹道优化设计为例,论述了优化的一般原则,确定设计变量、目标函数和约束条件的方法。实例计算表明,该模型是实用可行的。
Abstract:
T his paper g ives a random ball ist ic model for ballist ic opt imum desig n of missiles. T he model includes f lig ht dy namic equat io n of missilles, disturbing factor s and their related funct ions. T he exterior ballist ic equation is ex pr essed as state v av iable one. The dispersio n caused by g ust , thrust mallig nment , dynamic unbalance and initial disturbances is studied w ith description funct ion of cov eriance analy sis. The dispersion is dynamic responce o f ballist ic sy stem. PRESS model is used in the g ust random pro cess. T he forcing process o f thrust malalignment is thought o f as weak stable random one. T he related funct ion is obtained by do ing statistical analysis for thrust mallignment process. It is an attenuat ion index model . Based on the cov ar iance relatio n betw een disturbing random functio n and state variables, this paper g ives dif ferential equat ion of the covariance. When the equat ion is simul taneo us w ith variance matr ix equat ion about the ballistic state variables, the solut ions o f angular def lect io ns are o btained. Take the optimum design of rocket ballistics as an ex ample, the g eneral principle o f the ballist ic opt imum design and determinat ion metho d of design variables, object ive function and r est raint condit ions are discussed. Concrete computat io n show s that this model is pr act icable.

参考文献/References:

1 徐明友. 火箭外弹道学. 北京: 兵器工业出版社, 1989. 155~163
2 徐明友. 随机弹道学初探. 弹道学报, 1990, 5( 3) : 41~44
3 徐直军. 多管火箭弹道系统理论研究及软件开发: [ 博士学位论文] . 南京: 南京理工大学,1993
4 丁松滨. 在随机过程干扰下的弹道分析: [ 学位论文] . 南京: 南京理工大学, 1994
5 韩王君礼, 徐明友, 沈坚平. 随机弹道系统中有色噪声的数字仿真. 南京理工大学学报, 1996, 20( 3) : 197~200

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备注/Memo

备注/Memo:
国防科技预研行业基金
徐明友 男 59岁 教授
更新日期/Last Update: 2013-03-29