Error Estimation for the Simulation of Elastic Multibody Systems

作     者：Jörg Fehr Dennis Grunert Ashish Bhatt Bernard Haasdonk 

作者机构：Institute of Engineering and Computational Mechanics University of Stuttgart Pfaffenwaldring 9 70569 Stuttgart Institute of Applied Analysis and Numerical Simulation University of Stuttgart Pfaffenwaldring 57 70569 Stuttgart 

出 版 物：《PAMM》 

年 卷 期：2018年第18卷第1期

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

摘      要：One important issue in the development of complex technical system is the use of rapid simulations to evaluate substructures / surrogate models for system level simulations. For safety-critical simulations, it is essential to know the error introduced by model order reduction (MOR) used to create the surrogate models to decide whether the simulation can be trusted or not. Typically, a-priori error estimates, e.g., the sum of neglected singular values in balanced truncation are used. They deliver upper bounds for the error – independently of the applied excitation. By contrast, the error estimates from the reduced basis community deliver a-posteriori error bounds, which account for the current excitation. These error bounds use the residual between the reduced and original model to derive an error bound. In this work, we review the error bounds used in elastic multibody system (EMBS) described in the floating frame of reference formulation.