Time-dependent parametric model order reduction for material removal simulations

Abstract

Machining of thin and lightweight structures is a crucial manufacturing step in industries ranging from aerospace to power engineering. In order to enable efficient simulations of elastic workpieces and solve typical tasks like the prediction of process stability, reduced elastic models have to be determined by model order reduction. Thereby, the system matrices need to be constant, which cannot be assumed for elastic bodies with varying geometry due to material removal. In this contribution we propose a technique to generate reduced elastic bodies for systems with time-varying geometries and their application in time-domain simulations. Therefore, the model is described as a parameter-dependent system. Due to the fact that the considered parameter varies in time-domain simulations, time-dependent parametric model order reduction techniques for elastic bodies are presented.