核密度估计法在板件概率损伤识别中的应用
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TB559; O212.7

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航空科学基金资助项目(2012ZA52001);江苏高校优势学科建设工程资助项目


Probabilistic Damage Detection Based on the Kernel Density Estimation Method in Aluminum Plates
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    摘要:

    基于谱元法将核密度估计方法用于解决结构的损伤识别,从而得到了损伤位置的概率密度函数。通过建立压电 结构耦合的三维谱元法模型,模拟Lamb波在铝板完好及损伤结构中的传播过程。利用连续小波变换计算响应信号在传感器之间的飞行时间,得到Lamb波在结构中的传播速度。通过对Rayleigh Lamb方程的数值分析,得到Lamb波的理论传播速度,并将其与谱元法得到的结果进行对比,证实了谱元法模型的准确性。在椭圆定位技术的基础上,考虑环境不确定性对测量信号的影响,引入核密度估计方法将损伤位置识别转化为一种概率性问题。讨论了3种噪声水平情况下的损伤位置的概率密度函数,并给出了最终识别的结果。结果表明,核密度估计方法能够有效地识别出损伤位置,最大误差在5%左右。

    Abstract:

    The kernel density estimation (KDE) method is used to solve the damage detection problem based on the spectral element method (SEM), and the probability density functions (PDFs) of damage locations can be obtained. A three-dimensional SEM including electromechanical coupling is developed to simulate the propagation of Lamb waves in both healthy and damaged aluminum plates. The time-of-flight (TOF) of response signals in each actuator-sensor path is calculated by a continuous wavelet transform (CWT) to measure the speeds of Lamb waves. Rayleigh-Lamb equations are analyzed by a numerical calculation method, and the theoretical speeds of Lamb waves in aluminum plates can be obtained, which are compared with the ones obtained by SEM to demonstrate SEM′s accuracy. On the basis of elliptical position technology, the KDE is introduced as a probabilistic approach for damage detection in conditions of environmental uncertainty. The PDFs of damage locations are discussed under three levels of noise that are added into the response signals, and the final probability distributions are given. The results demonstrate that the SEM-based approach with the application of KDE is capable of efficiently identifying damage locations, with a maximum error of about 5%.

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  • 在线发布日期: 2016-01-07
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