不确定条件下贮箱区间凸模型可靠性评估

辛腾达; 王华; 崔村燕; 赵继广; 韩向阳

doi:10.13700/j.bh.1001-5965.2018.0098

不确定条件下贮箱区间凸模型可靠性评估

doi: 10.13700/j.bh.1001-5965.2018.0098

1.
航天工程大学研究生院, 北京 101416
2.
航天工程大学宇航科学与技术系, 北京 101416
3.
航天工程大学电子与光学工程系, 北京 101416

基金项目:

试验技术项目 2016SY41A0007

详细信息

作者简介:
辛腾达男, 博士研究生。主要研究方向:飞行器测试与发射

崔村燕女, 博士, 副教授, 硕士生导师。主要研究方向:航天发射安全

通讯作者:
崔村燕, E-mail:13661315668@126.com

中图分类号: V414.1
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- 被引次数: 0
出版历程
- 收稿日期: 2018-02-28
- 录用日期: 2018-03-23
- 网络出版日期: 2018-11-20

Reliability evaluation of tank under uncertain conditions based on interval convex model

1.
Graduate School, Space Engineering University, Beijing 101416, China
2.
Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, China
3.
Department of Electronic and Optical Engineering, Space Engineering University, Beijing 101416, China

Funds:

Experimental Technology Research Program 2016SY41A0007

More Information

Corresponding author: CUI Cunyan, E-mail:13661315668@126.com

摘要

摘要:
针对不确定条件下液体推进剂贮箱的可靠性评估问题，基于贮箱应力强度与区间凸模型理论，确立了贮箱应力强度可靠性评估方法。首先，在液体推进剂贮箱数学模型的基础上，分析推导了贮箱的应力分布，结合应力强度理论，确定了贮箱的等效应力。其次，结合应力强度干涉理论及正则化区间面积比方法，定义了贮箱的应力强度区间凸模型可靠性指标。最后，结合某型火箭推进剂贮箱的实际参数，将贮箱等效应力与临界应力的不确定性转化为区间凸集形式进行了实例验证，并与椭球凸模型可靠性指标结果进行了对比。结果表明：应力强度区间凸模型可靠性指标可准确评估贮箱的完全可靠状态，并可将贮箱非完全可靠状态下的可靠度量化到[0, 1]区间。
- 推进剂贮箱 /
- 不确定条件 /
- 可靠性 /
- 应力强度 /
- 区间凸模型
Abstract:
Aimed at the reliability evaluation problem of liquid propellant tank under uncertain conditions, the reliability evaluation method of tank stress strength is established based on tank stress strength and interval convex model theory. Firstly, the stress distribution of propellant tank is analyzed and derived based on the liquid propellant tank mathematical model, and the equivalent stress is confirmed through combining with the stress strength theory. Secondly, based on the stress strength interference theory and the area ratio of regularized interval theory, the interval convex model reliability index of tank stress strength is defined. Finally, combined with the actual parameters of a certain type rocket propellant tank, the method is verified through transforming the equivalent stress and critical stress into interval convex set form, and then it is compared with the reliability index results of ellipsoid convex model. The results show that the stress intensity interval convex model reliability index can evaluate the tank's entirely reliable states accurately, and can quantize the reliability degree of tank's non-entirely reliable states into the interval of [0, 1].
- propellant tank /
- uncertain conditions /
- reliability /
- stress strength /
- interval convex model

HTML全文

图 1 贮箱椭球下底模型^[16]

Figure 1. Ellipsoid bottom model of tank^[16]

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图 2 贮箱椭球上底模型

Figure 2. Ellipsoid roof model of tank

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图 3 贮箱圆柱筒模型

Figure 3. Cylinder model of tank

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图 4 临界状态函数与正则化区间

Figure 4. Critical state function and regularized interval

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图 5 下底经向应力与环向应力

Figure 5. Meridional stress and hoop stress of bottom

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图 6 上底经向应力与环向应力

Figure 6. Meridional stress and hoop stress of roof

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图 7 圆柱筒经向应力与环向应力

Figure 7. Meridional stress and hoop stress of cylinder

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图 8 下底等效应力与临界应力

Figure 8. Equivalent stress and critical stress of bottom

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图 9 上底等效应力与临界应力

Figure 9. Equivalent stress and critical stress of roof

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图 10 圆柱筒等效应力与临界应力

Figure 10. Equivalent stress and critical stress of cylinder

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表 1 贮箱及推进剂参数

Table 1. Parameters of tank and propellant

参数	m	a/mm	h/mm	ρ/(kg·m^-3)	ΔP/Pa
数值	1.6	1 669	8 080	1 458	101 325

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表 2 下底、上底壁厚参数

Table 2. Thickness parameters of bottom and roof

区间/mm	δ_b/mm	δ_r/mm
0≤y_b(y_r) < 695	2.3	2.0~5.5
695≤y_b(y_r)≤b	3.8	6.0~8.5

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表 3 等效应力区间凸集

Table 3. Interval convex set of equivalent stress

MPa
结构	S_min	S_max
下底	66.27	137.13
上底	15.91	65.96
圆柱筒	213.25	261.20

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表 4 贮箱应力强度可靠性指标

Table 4. Stress strength reliability index of tank

结构	指标	k=0.7, 0.8	k=0.6, 0.7	k=0.5, 0.6
下底	η	3.73	2.99	2.25
下底	η_e	5.10	4.09	3.08
上底	η	5.91	5.00	4.09
上底	η_e	8.32	7.04	5.76
圆柱筒	η	1.66	0.96	0.32
圆柱筒	η_e	2.33	1.03	-0.28

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