Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems

arXiv (Cornell University)

Abstract

In this work, we present a model order reduction technique for nonlinear structures assembled from components.The reduced order model is constructed by reducing the substructures with proper orthogonal decomposition and connecting them by a mortar-tied contact formulation. The snapshots for the substructure projection matrices are computed on the substructure level by the proper orthogonal decomposition (POD) method. The snapshots are computed using a random sampling procedure based on a parametrization of boundary conditions. To reduce the computational effort of the snapshot computation full-order simulations of the substructures are only computed when the error of the reduced solution is above a threshold. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearity as well as non-matching meshes. We are able to predict solutions of systems that we did not compute in our snapshots.

Authors 4

1. Stephan Ritzert Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics , RWTH Aachen University , Mies-van-der-Rohe-Str. 1 , 52074 Aachen , Germany

2. Jannick Kehls Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics , RWTH Aachen University , Mies-van-der-Rohe-Str. 1 , 52074 Aachen , Germany

3. Stefanie Reese Aachen Institute of Applied Mechanics

   RWTH Aachen University · University of Siegen

   Affiliation as printed

   Institute of Applied Mechanics , RWTH Aachen University , Mies-van-der-Rohe-Str. 1 , 52074 Aachen , Germany

   University of Siegen , 57076 Siegen , Germany

4. Tim Brepols Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics , RWTH Aachen University , Mies-van-der-Rohe-Str. 1 , 52074 Aachen , Germany