Collaborative Research: Efficient Probabilistic Approach Using Order Reduction and Hybrid Models -- A New Paradigm for Structural Dynamic Analysis

康涅狄格大学和得克萨斯州A M大学之间的合作研究的目的是开发一个新的概率框架的动态分析处理大型结构的不确定性。 特别是，研究团队旨在解决一些研究挑战，例如高计算成本和难以表征模型不确定性，这是这种分析中经常遇到的问题。 在这项研究中的方法是建立在一个混合建模和分析策略，使用计算和测量的结构模态响应。 它结合了结构动态模型降阶、贝叶斯响应预测（基于一组可行的候选模型）以及多阶段的递归模型更新和验证。 为了使高维系统的概率分析，一个高效的自适应马尔可夫链蒙特卡罗解决方案的程序将被开发和嵌入到分析框架。 这一框架使我们能够同时评估结构的不确定性及其对振动响应的影响，如果成功的话，这项研究的成果将导致同时推进概率结构分析和基于蒙特卡洛的解决方案技术。 结构不确定性及其对振动响应的影响信息可用于指导结构产品的鲁棒设计，也可用于基于振动响应的在线结构监测阈值的制定。 研究的协作和跨学科性质将为各级学生提供独特的学习机会。 传播计划将广泛提供研究结果，通过在专业会议上发言、在权威期刊上发表文章以及在大学课程中授课，为培训分析师和工程师做出贡献。

The objective of this collaborative research between University of Connecticut and Texas A&M University is to develop a new probabilistic framework of dynamic analysis for handling large-scale structures under uncertainties. In particular, the research team aims at tackling a number of research challenges such as high computational cost and difficulty in characterizing model uncertainties, often encountered in this type of analysis. The approach in this research is built upon a hybrid modeling and analysis strategy, using both the computations and measurements of structural modal responses. It features the combination of structural dynamic model order-reduction, Bayesian response prediction (based on a set of viable candidate models), and recursive model updating and verification at multiple stages. To enable the probabilistic analysis of high dimensional systems, a highly efficient adaptive Markov Chain Monte Carlo solution procedure will be developed and embedded into the analysis framework. This framework allows us to evaluate simultaneously the structural uncertainties and their impact to vibration responses.If successful, the outcome of this research will lead to the concurrent advancements in both probabilistic structural analysis and Monte Carlo-based solution techniques. The information of structural uncertainties and their impact to vibration responses can be used to guide the robust design of structural products, and also be used to develop thresholds for vibration response-based online structural monitoring. The collaborative and interdisciplinary nature of the research will provide unique learning opportunities for students involved at all levels. The plan for dissemination will make results widely available, contributing to training analysts and engineers by presenting at professional conferences, publishing in refereed journals, and teaching at university-level courses.