确定飞机最大抖振设计载荷的长期极值估计方法

李斌 张玉杰 杨智春

振动与冲击 ›› 2012, Vol. 31 ›› Issue (14) : 1-6.

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (14) : 1-6.
论文

确定飞机最大抖振设计载荷的长期极值估计方法

  • 李斌1 张玉杰1 杨智春1
作者信息 +

Long-term Extreme Value Method to Determine Maximum Buffet Design Loads

  • Li Bin1 Zhang Yujie1 Yang Zhichun1
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摘要

摘 要:确定飞机在抖振工况下的限制载荷是现代飞机动强度设计分析的关键步骤之一。本文运用次序统计和长期极值估计理论的极值I型分布和III型分布,在风洞试验数据基础上,分别应用最小二乘法和最大似然估计法进行极值模型的参数估计,并根据预设的重现期指标进行了某型飞机尾部结构抖振设计载荷的极值估计。探讨了极值分布概率模型、估计方法和样本数量对抖振载荷极值估计结果的影响。提出了实现准确有效极值估计的样本数量基本要求的指标,根据该指标可以确定最小振动响应采集时间,以指导测试方案和数据处理方法的制定。实例分析结果表明:极值III型分布能够较好地估计抖振试验数据的极值(相对误差在±5%以内),且进行分布模型的参数估计时,最大似然法的精度略高于最小二乘法。对比分析的结果也表明,应用传统的3σ准则进行随机振动结构的限制载荷设计可能偏危险,不适于工程应用。



Abstract

Abstract:Determination of dynamic limit load for a vibrating structure plays an important role in the dynamic strength analysis of aircraft. Bases on the order statistics and Gumbel extreme value distribution theory, this paper proposed a method to estimate maximum load encountered for a long operating time of the aircraft by the statistics analysis of the short duration experimental data. Using the buffet response data of an aircraft empennage structure as an example, this paper discusses the effect of different Gumbel distribution models, parameter estimation methods and the number of sample on the estimation accuracy of a long-term extreme value. The comparison of predicted and test results shows that Gumbel III distribution model is more suitable for prediction of buffet extreme value than Gumbel I distribution model, and the estimation relative error is below ±5%. The maximum likelihood estimation method also shows a little better than the least square method for the parameter estimation of probability distribution models. The further research shows that the least required sample number of test data must be achieved for a valid long-term extreme value prediction require. Moreover, the investigation shows that the long-term extreme value theory is more reasonable than traditional 3σ criterion to determine the dynamic limited loads for random vibration problems, and the limited load determined by 3σ criterion is partially dangerous.

关键词

抖振载荷 / 极值估计 / 最大似然估计 / 3σ准则

Key words

Buffet Loads / Extreme Value Prediction / Maximum Likelihood Estimation / 3σ criterion

引用本文

导出引用
李斌 张玉杰 杨智春. 确定飞机最大抖振设计载荷的长期极值估计方法[J]. 振动与冲击, 2012, 31(14): 1-6
Li Bin Zhang Yujie Yang Zhichun. Long-term Extreme Value Method to Determine Maximum Buffet Design Loads[J]. Journal of Vibration and Shock, 2012, 31(14): 1-6

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