论文标题

通过分散曲线鉴定复合板的贝叶斯方法

A Bayesian Method for Material Identification of Composite Plates via Dispersion Curves

论文作者

Haywood-Alexander, Marcus, Dervilis, Nikolaos, Worden, Keith, Mills, Robin S., Ladpli, Purim, Rogers, Timothy J.

论文摘要

超声波引导的波浪为结构健康监测和非破坏性评估提供了一种方便,实用的方法。引导波的关键特性是中央频率和传播特性(相速度,组速度和波数)之间的完全定义的关系 - 使用分散曲线进行了描述。对于许多基于引导波的策略,准确的分散曲线信息是无价的,例如用于本地化的组速度。从对分散曲线的实验观察结果,可以使用系统识别程序来确定管理材料特性。除了返回估计值外,还可以根据测量数据确定这些属性的分布。一种模拟这些分布的样品的方法是使用迭代的马尔可夫链蒙特卡洛(MCMC)程序,该程序允许以后验形状自由。在这项工作中,扫描激光多普勒振动仪用于记录单向玻璃纤维复合板中羔羊波的传播,并提取了各种传播角度的分散曲线数据。使用这些测量的分散曲线数据,执行了MCMC采样程序,以提供贝叶斯的方法来确定任意板的分散曲线信息。

Ultrasonic guided waves offer a convenient and practical approach to structural health monitoring and non-destructive evaluation. A key property of guided waves is the fully-defined relationship between central frequency and propagation characteristics (phase velocity, group velocity and wavenumber) -- which is described using dispersion curves. For many guided wave-based strategies, accurate dispersion curve information is invaluable, such as group velocity for localisation. From experimental observations of dispersion curves, a system identification procedure can be used to determine the governing material properties. As well as returning an estimated value, it is useful to determine the distribution of these properties based on measured data. A method of simulating samples from these distributions is to use the iterative Markov-Chain Monte Carlo (MCMC) procedure, which allows for freedom in the shape of the posterior. In this work, a scanning-laser doppler vibrometer is used to record the propagation of Lamb waves in a unidirectional-glass-fibre composite plate, and dispersion curve data for various propagation angles are extracted. Using these measured dispersion curve data, the MCMC sampling procedure is performed to provide a Bayesian approach to determining the dispersion curve information for an arbitrary plate.

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