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基于LVM的复合材料B基准值统计方法与验证

唐昆1,李磊2,王彪3,段敏鸽1,谢佳卉1,黄光启1   

  1. 1. 中国飞机强度研究所
    2. 强度与结构完整性全国重点实验室
    3. 中国飞机强度研究所强度与结构完整性全国重点实验室
  • 收稿日期:2026-05-20 修回日期:2026-08-14 出版日期:2026-08-21 发布日期:2026-08-21
  • 通讯作者: 唐昆

LVM-based statistical method and verification of composite B-basis values

  • Received:2026-05-20 Revised:2026-08-14 Online:2026-08-21 Published:2026-08-21
  • Contact: Kun TANG

摘要: 本文提出了一种基于单向板变异法(lamina variability method,以下简称LVM)的小样本B基准值统计方法,考虑了鉴定试验中过低离散系数需要补偿的问题,对LVM进行了修正,拓宽了LVM的应用场景。基于该理论开发了相应的统计分析软件,该软件计算的B基准值与DOT/FAA/AR-06/53结果最大偏差为0.024%。采用LVM对1860个国产试验数据进行了统计分析,发现LVM可以得到较为保守且接近单点法计算的B基准值,绝大多数试验数据落在±10%的偏差带内,平均相对偏差为3.64%,基本达到了工程应用的水准。该方法能够显著降低复合材料结构的新材料研发、新产品更新迭代成本、缩短研究周期,具有较高的工程应用价值。

关键词: 单向板变异法, 小样本, B基准值, 复合材料, 低成本

Abstract: This paper proposes a small-sample statistical method for B-basis values based on the lamina variatbility method (LVM). Considering the need to compensate for excessively low coefficients of variation obtained from qualification tests, the LVM is modified to broaden its application scenarios. Corresponding statistical analysis software is developed based on the above theory. The maximum deviation of B-basis values calculated by the software from the results of DOT/FAA/AR-06/53 is 0.024%.Statistical analysis is conducted on 1860 domestic test data using the proposed method. The results show that LVM can yield relatively conservative B-basis values close to those calculated by the single-point method. Most test data fall within the ±10% deviation band, with an average relative deviation of 3.64%, which basically meets the requirements of engineering applications.

Key words: lamina variability method, small sample, B-basis value, composite material, low cost

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