Model Order Reduction in Elastic Multibody Systems using the Floating Frame of Reference Formulation

摘要

System analysis and optimization of technical products are increasingly supported by virtual prototypes. For the modeling of the dynamical behavior of mechanical subsystems, elastic multibody systems are frequently used. In this contribution, an overview of the basic approaches to model elastic multibody systems with the help of the floating frame of reference formulation is given. It is one of the most common approaches in the field of modeling flexible multibody systems. Here, the discretization of the elastic bodies, e.g. with the help of the Finite Element Method, introduces a large number of elastic degrees of freedom and an efficient simulation of the system becomes difficult. A focus in this work is the linear model order reduction of the elastic degrees of freedom, which is a key step for using flexible bodies in elastic multibody systems. Thereby, the simulation of the elastic multibody system becomes possible or more efficient from a computational point of view. Recently a variety of modern reduction techniques, based on Krylov subspaces or based on a singular value decomposition have been developed and applied successfully in engineering applications. The topic of this work is the application of this techniques in elastic multibody systems with its special requirements, such as, e.g., structure preservation. The differences of these reduction methods are introduced and compared.