Hybrid Reliability Approach for Airbag Seat Protection Performance Based on Probability and Probability Box Models
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摘要: 针对不确定因素对载人空降气囊座椅防护性能的影响，提出一种基于概率-概率盒混合模型的气囊座椅防护特性可靠性分析方法。研制空降乘员气囊座椅，并建立相应的“假人-座椅”数值分析模型，通过开展装备落地碰撞试验对数值模型进行试验验证；然后，根据可靠性问题中的混合不确定性变量，在概率-概率盒混合模型基础上构建适用于气囊座椅防护特性的可靠性分析模型，并借助等概率变换和不确定性变量的区间分析将原始的双层嵌套的优化问题转化成单层优化问题，实现循环嵌套优化问题的解耦，从而提高可靠性指标的求解效率；最后，采用近似模型技术和隔代映射遗传算法完成对可靠性指标的高效求解。结果表明，该方法能有效对气囊座椅的防护特性进行可靠性评估，在装备空降技术领域具有一定的实际工程意义。
针对不确定因素对载人空降气囊座椅防护性能的影响，提出一种基于概率-概率盒混合模型的气囊座椅防护特性可靠性分析方法。首先，研制了空降乘员气囊座椅，并建立相应的“假人-座椅”数值分析模型，通过开展装备落地碰撞试验对数值模型进行了试验验证；然后，根据可靠性问题中的混合不确定性变量，在概率-概率盒混合模型基础上构建了适用于气囊座椅防护特性的可靠性分析模型，并借助等概率变换和不确定性变量的区间分析将原始的双层嵌套的优化问题转化成单层优化问题，实现循环嵌套优化问题的解耦，从而提高可靠性指标的求解效率；最后，采用近似模型技术和隔代映射遗传算法完成对可靠性指标的高效求解。结果表明：该方法能有效对气囊座椅的防护特性进行可靠性评估，在装备空降技术领域具有一定的实际工程意义。
Abstract: Considering the influence of uncertainties on protection performance of airbag seat in manned airdrop, a hybrid reliability approach based on probability and probability box models is presented for the protection performance. Firstly, the airbag seat is developed and the numerical model of the "dummy-seat" is established, which is verified by the real equipment airdrop experiment. Then, according to the mixed uncertainty variables in the reliability problem, a reliability analysis model of airbag seat protection characteristics based on probability and probability box hybrid model is constructed. Through equal probability transformation and interval analysis of uncertain variables, the original double-layer nested optimization problem is transformed into a single-layer optimization problem to realize the decoupling of nested optimization problem. Based on this decoupling strategy, the efficiency of solving reliability index could be improved. Finally, the approximate model technology and intergeneration projection genetic algorithm (IP-GA) are adopted to obtained the reliability index. The results demonstrate that the proposed method could effectively evaluate the reliability of protection performance of airbag seat. The method can also be used in the field of other airdrop protections.-
Key words:
- airbag seat /
- manned airdrop /
- hybrid model /
- reliability analysis
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表 2 概率盒变量Y2累积分布函数(工况一)
区间和质量 [0, 0.015], 0.3 [0.005, 0.025], 0.2 [0.02, 0.035], 0.2 [0.03, 0.05], 0.3 
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表 3 随机变量分布类型(工况一)
随机变量 分布参数1 分布参数2 分布类型 X1/kg 0.196 2 0.039 2 对数正态分布 X2/Pa 51 808.406 7 25 904.203 3 对数正态分布
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表 4 可靠性指标计算结果(工况一)
随机变量 不确定变量 可靠性指标值 失效概率 X1/kg X2/Pa Y1/m2 Y2/kg 2.380 55 520 0.010 81 0 ${\beta ^L}{\text{ = }}2.511\;5$ 6.01×10−3 2.351 56 010 0.010 85 0 ${\beta ^R}{\text{ = }}5.580$ 1.203×10−8
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表 5 随机变量分布类型(工况二)
随机变量 分布参数1 分布参数2 分布类型 X1/kg 0.196 2 0.001 962 对数正态分布 X2/Pa 51 808.406 7 51.808 4 正态分布
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表 6 可靠性指标计算结果(工况二)
随机变量 不确定变量 可靠性指标值 失效概率 X1/kg X2/Pa Y1/m2 Y2/kg 3.788 1×10−5 0.015 86 0.968 7 ${\beta ^L}{\text{ = }}3.607\;6$ 1.545×10−4 3.597 61 580 0.013 47 0.024 44 ${\beta ^R}{\text{ = }}10.172\;7$ 1.313×10−24
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表 7 可靠性指标计算结果(工况三)
随机变量 不确定变量 可靠性指标值 失效概率 X1/kg X2/Pa Y1/m2 Y2/kg 3.983 1×10−5 0.007 826 0.374 4 ${\beta ^L}{\text{ = 4}}{\text{.019}}\;{\text{1}}$ 2.921×10−5 3.983 1×10−5 0.007 846 0.373 4 ${\beta ^R}{\text{ = 5}}{\text{.466}}$ 2.302×10−8
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