论文标题
使用贝叶斯分析降低模型订单的贝叶斯分析,纤维金属层压板中的损伤鉴定
Damage Identification in Fiber Metal Laminates using Bayesian Analysis with Model Order Reduction
论文作者
论文摘要
纤维金属层压板(FML)是由金属和纤维增强塑料(FRP)组成的复合结构,随着航空航天和汽车行业的材料选择,它们越来越兴趣。由于材料建立了复杂的材料,不仅此类结构的设计和生产都是具有挑战性的,而且是其损害检测。这项研究工作的重点是通过基于贝叶斯范式的反向方法,使用带导的超声波(GUW)在FML中识别损伤。由于贝叶斯推论方法涉及基础系统的多个查询,因此使用参数化的还原阶模型(ROM)来密切近似于计算成本少得多的解决方案。通过嵌入式传感器和ROM预测测量的信号用于FML损伤的定位和表征。在本文中,部署了基于马尔可夫链蒙特卡洛(MCMC)的大都市杂物(MH)算法和集合卡尔曼过滤(ENKF)技术以识别损害。数值测试说明了这些方法,并在准确性和效率方面进行了比较。发现这两种方法都以高精度的损害表征成功,并且也能够量化其相关的不确定性。在计算效率方面,ENKF用MCMC-MH算法区分自身。在这种识别损坏的应用中,ENKF大约比MCMC-MH快三次。
Fiber metal laminates (FML) are composite structures consisting of metals and fiber reinforced plastics (FRP) which have experienced an increasing interest as the choice of materials in aerospace and automobile industries. Due to a sophisticated built up of the material, not only the design and production of such structures is challenging but also its damage detection. This research work focuses on damage identification in FML with guided ultrasonic waves (GUW) through an inverse approach based on the Bayesian paradigm. As the Bayesian inference approach involves multiple queries of the underlying system, a parameterized reduced-order model (ROM) is used to closely approximate the solution with considerably less computational cost. The signals measured by the embedded sensors and the ROM forecasts are employed for the localization and characterization of damage in FML. In this paper, a Markov Chain Monte-Carlo (MCMC) based Metropolis-Hastings (MH) algorithm and an Ensemble Kalman filtering (EnKF) technique are deployed to identify the damage. Numerical tests illustrate the approaches and the results are compared in regard to accuracy and efficiency. It is found that both methods are successful in multivariate characterization of the damage with a high accuracy and were also able to quantify their associated uncertainties. The EnKF distinguishes itself with the MCMC-MH algorithm in the matter of computational efficiency. In this application of identifying the damage, the EnKF is approximately thrice faster than the MCMC-MH.