论文标题
随机介质中的波传播，参数估计和通过随机傅立叶积分算子检测
Wave propagation in random media, parameter estimation and damage detection via stochastic Fourier integral operators
论文作者
论文摘要
本文提出了一种新的方法，以随机的线性弹性材料进行建模波传播，即通过傅立叶积分运算符（FIOS）。对运动方程的解决方案的FIO表示可以用于识别基础介质的弹性参数，以及在随机扰动的情况下的统计超参数。 FIO表示的随机版本可用于损害检测。提出和验证了假设检验，即使在存在随机材料参数的情况下，它们也能够区分未损坏和损坏的材料。 本文介绍了理论基本面和数值实验，其中证明了该方法的适用性。
This paper presents a new approach to modelling wave propagation in random, linearly elastic materials, namely by means of Fourier integral operators (FIOs). The FIO representation of the solution to the equations of motion can be used to identify the elastic parameters of the underlying media, as well as their statistical hyperparameters in the randomly perturbed case. A stochastic version of the FIO representation can be used for damage detection. Hypothesis tests are proposed and validated, which are capable of distinguishing between an undamaged and a damaged material, even in the presence of random material parameters. The paper presents both the theoretical fundamentals as well as a numerical experiment, in which the applicability of the proposed method is demonstrated.
