基于递归量化观测的复合材料损伤贝叶斯估计方法
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TH-39 V219

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国家自然科学基金(51975067, 52175077)项目资助


Bayesian estimation of composite structure damage based on recursive quantitative observation
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    摘要:

    针对复合材料损伤定位定量识别中损伤指数构建困难与损伤预测的不确定性问题,提出一种基于递归量化特征观测的 损伤状态贝叶斯概率估计方法。 该方法无需基准无损信号参考与损伤波包识别,采用 Lamb 波信号的递归量化分析(RQA)特 征,从结构非线性动力学角度对复材板内部损伤进行观测,根据特征与损伤位置大小的相关性与单调性进行了敏感特征筛选。 根据各传感路径信号的 RQA 特征与损伤形态参量间的线性/ 非线性关联特性,采用多变量二次交互模型建立了损伤状态的特 征描述空间。 综合考虑各传感路径中 RQA 特征对损伤观测的不确定因素,建立了复材板损伤状态的观测模型,采用贝叶斯更 新算法对复材板损伤位置尺寸进行估计。 复材板的脱层损伤仿真分析结果表明,本文提出方法无需分析结构损伤与 Lamb 波 的复杂交互机制,就能同步实现复材板内部损伤的量化评估与定位分析,估计出的损伤位置大小在仿真模型的损伤参数设定值 的 75% 置信区间内,损伤估计成像区域与仿真损伤区域相符合。 复合材料板的疲劳损伤试验分析结果表明,采用本文方法经过 24 次迭代更新后,得到的损伤面积与大小完全覆盖了 X 射线扫描检测的真实损伤。 该方法充分考虑了复材板损伤评估中的不 确定因素,更加贴合复合材料结构损伤检测与评估的工程实际应用,具有较好的应用前景。

    Abstract:

    Aiming to the problem of difficult construction of damage index and uncertainty of damage estimation in quantitative identification of damage localization of composite materials,this paper proposed a Bayesian update algorithm of estimating damage states based on recurrence quantization feature (RQA) observation. Without referring to the baseline signal in undamaged state, the method used the RQA features of sensed Lamb wave signal to observe the internal damage from the perspective of structural nonlinear dynamics, and performed sensitive feature screening based on the correlation and monotonicity between the features and the delamination location morphology. Combining the linear or nonlinear correlation between the RQA features of each sensing path and the delamination location and shape parameters, a quadratic interaction model between the features and the parameters was established. Considering the uncertainty of damage observation by RQA features, the observation model of delamination damage was built, based on which the Bayesian update algorithm was used to estimate the delamination damage location. The simulation results showed that the proposed method could simultaneously achieve quantitative assessment and accurate localization of internal damage in composites structure without analyzing the complex interaction mechanism of structural damage and Lamb waves, and the estimated damage location size was generally consistent with the damage parameter settings of the simulation model. And the estimated damage location size is within the 75% confidence interval of the damage parameter setting value of the simulation model, and the damage estimation imaging area is consistent with the simulated damage area. The experimental results verified that the damage area and size obtained after 24 iterations of update by this method completely cover the real damage detected by X-ray scanning. The proposed method fully takes into account the uncertainties in the damage assessment of composite panels and is more suitable for the engineering practical application of damage detection and assessment of composite structures, and has good application prospects.

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刘小峰,张春兵,柏 林,陈兵奎.基于递归量化观测的复合材料损伤贝叶斯估计方法[J].仪器仪表学报,2023,44(1):74-84

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  • 在线发布日期: 2023-07-04
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