报告题目: An Overview of Reduced-Order Finite Element Models: Application to Uncertainty Quantification of Stochastic Dynamical Systems

报 告 人：Hector Jensen，智利圣玛丽亚理工大学土木系教授，中国国家外国专家局高端外国专家

主 持 人：陈建兵教授

时    间：2021年12月03日（星期五）9:00 - 10:15 A.M.

地    点：Zoom线上会议号:882 057 03722（PW:266564）

报告内容：

The basic ideas of model reduction techniques based on substructure coupling for dynamic analysis are reviewed in this talk. The dynamic behavior of the substructures is described by a set of normal modes of individual substructures plus a set of static vectors that account for the coupling at each interface where the substructures are connected. The internal dynamic behavior of the substructures is enhanced by considering the contribution of residual fixed-interface normal modes. Moreover, the interface degrees of freedom are reduced by considering a small number of characteristic constraint modes. The method produces highly accurate reduced-order models with a relatively small number of generalized coordinates. For the purpose of using reduced-order models in uncertainty quantification problems, an effective parametrization scheme is introduced. In this framework, all matrices involved in the characterization of reduced-order models are computed and assembled at a small number of points during the analysis. The use of parametric reduced-order models is demonstrated by three types of problems: uncertainty propagation, reliability analysis, and performance-based design optimization. Results indicate that the computational efforts are drastically decreased with respect to full model simulations without compromising the accuracy of the results.

报告人简介:

Hector Jensen is a Professor Civil Engineering at the Santa Maria Technical University, Valparaiso, Chile.  He is a Mathematician Civil Engineer from the University of Chile and he received his PhD in Applied Mechanics from the California Institute of Technology (CALTECH), Pasadena, USA. His research interests include Computational Stochastic Mechanics, Advanced Simulation Methods, Robust and Reliability-Based Optimization, Risk and Sensitivity Analysis, Fuzzy Analysis, Finite Element Analysis, Dynamic Sub-structuring, and Bayesian Model Updating. He has published numerous journal and conference papers, as well as book chapters in areas of his expertise.  In addition, a book that deals with the application of reduced-order models to complex simulation-based problems has been published by Springer in 2019. He is member of the editorial board of several journals and he has been guest editor of Computers and Structures and Mechanical Systems and Signal Processing.  He has been invited to give lectures, keynotes, semi-plenary and plenary lectures in a number of universities and international conferences. In 2018 he was selected by the Recruitment Program of High-end Foreign Experts of the State Administration of Foreign Affairs of the People’s Republic of China.

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