Aeroelastic response predictions under uncertainty and computational acoustics

由于预测飞机结构气动弹性响应不稳定性的能力在航空航天工程工业中非常重要，因此预测非线性气动弹性行为的能力多年来一直是研究的热点。目前的大多数预测方法是基于确定性的方法，其中的数学模型（初始和边界条件的控制系统方程）的推导，并通过数值模拟计算的解决方案。在真实的世界的问题，不确定性确实存在，这可能是由于缺乏信息的建模，不精确的材料属性或系统参数值，噪声在实验测量等的其他潜在来源的不确定性可能会产生的数值误差，如离散化。因此，对于真实感建模和仿真，不确定性的影响是不可忽视的。拟议的研究将集中在将不确定性纳入气动弹性响应预测。这是一个具有挑战性的任务，因为现在必须在气动弹性模型中引入随机公式，并且必须开发一种新的模拟方法，以避免使用传统但效率很低的Monte Carlo方法。

The capability to predict nonlinear aeroelastic behavior has been the subject of intense research for many years, since the ability to forecast instabilities in the aeroelastic response of aircraft structures is of great importance in the aerospace engineering industry. The majority of the current prediction methodologies are based on a deterministic approach, in which a mathematical model (governing system equations with initial and boundary conditions) is derived, and a solution is computed by numerical simulations. In real world problems, uncertainty does exist and this could be due to the lack of information in the modeling, errors resulting from imprecise material properties or values of system parameters, noises in experimental measurements, etc. The other potential source for uncertainty could arise from numerical errors, such as discretization. Hence, for realistic modeling and simulation, the effects due to uncertainty can not be ignored. The proposed research will focus on incorporating uncertainty in aeroelastic response prediction. This is a challenging task because stochastic formulation must now be introduced in the aeroelastic model, and a novel simulation methodology has to be developed to avoid using the conventional but very inefficient Monte Carlo method.