The uncertainty in material properties of an anisotropic plate may influence the acoustic source localization process undertaken for the plate. To study this effect of material uncertainty, the two moduli of elasticity of an orthotropic plate material are considered in this note as independent random variables and the propagation of this material uncertainty through the wave front shape-based acoustic source localization approach is investigated. Assuming lognormal probability distributions for the two random variables, several design points in lognormal spaces are picked using Latin Hypercube Sampling. Finite element analysis is performed for each design point to simulate the elastic wave propagation due to an acoustic event and wave front shape-based approach is applied to estimate the source location. The time-of-arrivals and source localization errors obtained for each design point are considered as separate response functions at that design point and regression kriging metamodels through the responses at the design points are constructed. Monte Carlo simulations are carried out using these metamodels to obtain the distribution parameters (i.e., ranges, means and standard deviations) of the time-of-arrivals and localization errors. A global sensitivity analysis is performed to estimate the effect of each random variable on the localization errors. It is observed that for lognormally distributed moduli of elasticity with same coefficients of variation, uncertainty in the modulus of elasticity in the major direction affects the source localization accuracy more compared to the uncertainty in the modulus of elasticity in the minor direction, particularly when the ellipse-based technique is used.

各向异性板材料特性的不确定性可能会影响对板进行的声源定位过程。为了研究材料不确定性的这种影响，本说明中将正交各向异性板材料的两个弹性模量视为独立的随机变量，并研究了这种材料不确定性通过基于波前形状的声源定位方法的传播。假设两个随机变量的对数正态概率分布，使用拉丁超立方抽样在对数正态空间中选取几个设计点。对每个设计点执行有限元分析以模拟由于声事件引起的弹性波传播，并应用基于波前形状的方法来估计源位置。为每个设计点获得的到达时间和源定位误差被视为该设计点的独立响应函数，并通过设计点的响应构建回归克里金元模型。使用这些元模型进行蒙特卡罗模拟以获得到达时间和定位误差的分布参数（即范围、均值和标准偏差）。执行全局敏感性分析以估计每个随机变量对定位误差的影响。观察到对于具有相同变异系数的对数正态分布的弹性模量，与次要方向弹性模量的不确定性相比，主方向弹性模量的不确定性对源定位精度的影响更大，