基于传热增广模型的轨迹优化与防热结构分析

doi:10.12305/j.issn.1001-506X.2022.03.25

Abstract

Abstract:

In the trajectory design problem considering the temperature constraint of aircraft structure, the trajectory optimization model with general constrained heat flux has some disadvantages, such as repeated iteration, unable to consider the coupling relationship between trajectory and heat transfer. To solve these problems, a trajectory optimization model of heat transfer expansion is proposed. The heat transfer equation is transformed into a set of first-order differential equations by using spatial difference, and the system state equation of heat transfer expansion is formed with the motion equation, so that the structure temperature can be directly constrained in the trajectory optimization. The simulation of an example shows the efficiency of the solution based on the augmented model and the rationality of the result. On this basis, the interaction between reentry trajectory and thermal structure is analyzed, which provides a reference for the design of thermal structure in the scheme design stage.

Key words: trajectory optimization, heat conduction, thermal protection structure, hypersonic

CLC Number:

V412

Tengafei ZHANG, Chunlin GONG, Hua SU, Pengfei XUE. Trajectory optimization based on heat-augmented model and analysis of thermal protection structure[J]. Systems Engineering and Electronics, 2022, 44(3): 929-938.

Figures/Tables 17

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参数	防热层	隔热层
材料名称	PM1000	Saffil氧化铝纤维
厚度/m	0.025	0.095
密度/(kg/m³)	8 240	96
热导率/(W/mK)	k_f(T)	k_s(T)
比热/(JK/kg)	c_f(T)	c_s(T)
耐温极限/K	1 570	1 870(内表面不超过620)
表面辐射率	0.86	-
边界	热流密度/(W/m²)	q_s(t)
条件	环境温度/K	T_∞(t)

结构参数	值
质量/kg	907.2
参考面积/m²	0.484
气动力系数	拟合模型(见式(26))
材料尺寸/m	δ_f=0.024, δ_s=0.095(与第2.2节算例相同)

时刻	高度/km	速度/(m/s)	倾角/(°)	结构温度/K
初始状态	80	6 400	0	280
终端状态	20	760	-3	≤材料耐温极限

参数	模型
参数	一般模型	增广模型
迭代次数	17	1
计算耗时/s	49.2	10.6
内表面最高温度/K	619.98	620
外表面最高温度/K	1 562.87	1 566.90
航程角/(°)	103.56	106.15
热流约束/(W·m^-2)	4.05×10⁵	-

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Trajectory optimization based on heat-augmented model and analysis of thermal protection structure

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