The focus of the present investigation is on assessing the applicability and performance of the recently introduced Multifidelity Monte Carlo (MFMC) for the computationally efficient prediction of the statistics of the random response of uncertain structures especially those undergoing large deformations and modeled within nonlinear reduced order models. Three such nonlinear applications are considered the first of which is a purely structural problem, a panel subjected to a large loads inducing nonlinear geometric effects. Reduced order models with different fidelities are then generated by reducing the size of the basis from a given set of basis functions. The second nonlinear application is a multiphysics problem, a panel undergoing a simulated high speed trajectory with aerodynamic-structural-thermal coupling. The third application is also multiphysics and focuses on the limit cycle oscillation behavior of a wing past flutter due to structural nonlinearity. In addition, a preliminary validation of the methodology was also carried out that focuses on the linear response of a structure modeled in finite elements where different fidelities are obtained by varying the mesh size. In all of these applications, the MFMC performed very well leading to accurate predictions of the statistics of the response at a reduced/much reduced computational cost.
展开▼
机译:本研究的重点是评估最近引入的Multifidelity Monte Carlo(MFMC)的适用性和性能,以有效地计算不确定结构,尤其是那些经历大变形并在非线性降阶模型中建模的结构的随机响应统计的计算效率。三种这样的非线性应用被认为是第一种,它是一个纯粹的结构问题,面板承受较大的载荷,从而引起非线性几何效应。然后,通过减少给定基础函数集的基础大小,生成具有不同保真度的降阶模型。第二个非线性应用是一个多物理场问题,一个面板经历了带有气动-结构-热耦合的模拟高速轨迹。第三个应用也是多物理场,并且着重于机翼经过颤振的极限循环振荡行为(由于结构非线性)。此外,还对方法进行了初步验证,该方法侧重于以有限元建模的结构的线性响应,在有限元中,通过更改网格大小可获得不同的保真度。在所有这些应用程序中,MFMC都表现出色,从而可以以减少/大大减少的计算成本来准确预测响应的统计信息。
展开▼