Error Estimation for the Simulation of Elastic Multibody Systems

  title={Error Estimation for the Simulation of Elastic Multibody Systems},
  author={J{\"o}rg Fehr and Dennis Grunert and Ashish Bhatt and Bernard Haasdonk},
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… 
2 Citations
A Posteriori Error Estimation in Model Order Reduction of Elastic Multibody Systems with Large Rigid Motion
We consider the equation of motion of an elastic multibody system in absolute coordinate formulation (ACF). The resulting nonlinear second order DAE of index two has a unique solution and is reduced
Well‐scaled, a‐posteriori error estimation for model order reduction of large second‐order mechanical systems
  • D. Grunert, J. Fehr, B. Haasdonk
  • Computer Science
    ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • 2020
The spectral theorem, power series expansions, monotonicity properties, and self‐tailored algorithms are used to largely speed up the offline phase by one polynomial order both in terms of computation time as well as storage complexity.


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Greedy‐based approximation of frequency‐weighted Gramian matrices for model reduction in multibody dynamics
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H2 Model Reduction for Large-Scale Linear Dynamical Systems
A new unifying framework for the optimal $\mathcal{H}_2$ approximation problem is developed using best approximation properties in the underlying Hilbert space and leads to a new set of local optimality conditions taking the form of a structured orthogonality condition.
A Survey on Model Reduction of Coupled Systems
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