A hybrid data-driven model order reduction strategy for flexible multibody systems considering impact and friction

The numerical simulation of flexible multibody systems (FMBSs) with contact is important. Meanwhile, the contact problem is always a key and difficult point for FMBSs; and when impact and friction affect FMBSs, the computational efficiency will dramatically decline. In this work, the nonsmooth contact method (NSCM) for FMBSs is briefly introduced. Moreover, in order to save the computational costs of a contact FMBS, a novel hybrid model order reduction (MOR) strategy based on the idea of data-driven method is proposed. For the hybrid MOR strategy, the reducedorder models (ROMs) based on the NSCM in smooth force part and nonsmooth force part are derived using proper symplectic decomposition and proper orthogonal decomposition, respectively. In addition, in order to adapt the ROMs to parameter variation, the parameter interpolation method on the tangent space of Grassmann manifold is studied. Finally, several numerical examples are tested using the proposed methodology, the results show that compared with the original model, the ROM can save 65.89% of the computing time, and the root-mean-square error between the ROM and original model can reach the order of 10(-12).

Automated summary

This paper introduces the nonsmooth contact method (NSCM) for flexible multibody systems (FMBSs) and proposes a novel hybrid model order reduction (MOR) strategy based on a data-driven approach to save computational costs. Numerical examples show that the proposed methodology can significantly reduce computing time and maintain a very low level of error compared to the original model.