考虑阻力系数时变的下压段半解析时间预测方法

doi:10.12305/j.issn.1001-506X.2023.02.25

摘要/Abstract

摘要：

高超声速飞行器下压段飞行环境复杂、弹道参数变化剧烈、被动减速较快, 传统解析预测采用的常值阻力系数假设不再适用。考虑攻角、马赫数影响, 对阻力系数表达式进行拓展, 基于解析理论对复杂弹道方程加以简化, 得到以剩余射程为自变量的微分方程, 通过数值积分快速求解弹道诸元, 提升全弹道快速规划能力。典型弹道仿真表明, 与传统常值假设相比, 所提方法可将俯冲下压段的时间预报误差降低到1 s左右, 同时不增加计算复杂度, 实现滑翔飞行器俯冲飞行时间、速度、动压的精准、快速预报。

关键词: 高超声速飞行器, 时变阻力系数, 剩余飞行时间预测, 解析理论降阶

Abstract:

The constant drag coefficient hypothesis used in traditional analytical prediction is no longer applicable for hypersonic vehicle in the dive phase due to the complex flight environment, sharp change of trajectory parameters and fast passive deceleration. Considering the influence of angel of attack and Mach number, the expression of drag coefficient is extended, the complex ballistic equation is simplified based on analytical theory, and a differential equation with the remaining range as the independent variable is obtained. Therefore, the trajectory elements can be solved quickly by numerical integration to improve the capability of rapid planning of whole trajectory. Typical trajectory simulation shows that the time prediction error of the dive phase can be reduced to about 1 s compared with the traditional coefficient hypothesis. At the same time, it does not increase the computational complexity. It can realize the accurate and fast forecast of flight time, speed and dynamic pressure of glide vehicle.

Key words: hypersonic glide vehicle, time-varying drag coefficient, encounter flight time estimation, analytic theory simplified

中图分类号:

V448

崔正达, 魏明英, 李运迁. 考虑阻力系数时变的下压段半解析时间预测方法[J]. 系统工程与电子技术, 2023, 45(2): 530-537.

Zhengda CUI, Mingying WEI, Yunqian LI. Semi-analytical encounter time estimation method in dive phase with time-varying drag coefficient[J]. Systems Engineering and Electronics, 2023, 45(2): 530-537.

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方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	50.135 97	106.45
解析解简化方程数值解	53.320 58	110.35
弹道仿真(1次)	1.865 268	110.825

方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	53.303 808	106.875
解析解简化方程数值解	58.124 676	112.5
弹道仿真(1次)	2.490 953	112.925

方法	1 000次仿真耗时	预估飞行时间
常值阻力假设解析解	53.231 281	106.325
解析解简化方程数值解	59.387 236	111
弹道仿真(1次)	2.606 968	111.6

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