Model order reduction in design of parameterized structures under different load configurations

Abstract

In structural design of mechanical systems a dynamic analysis is carried out in the time domain or in the frequency domain which implies solving the equation of motion several times. Usually the systems depend on a set of parameters which influence their responses. Thus the design process includes numerical simulations using a full-scale finite element (FE) model for each set of parameters which is computationally demanding and time consuming. In this contribution the response in the frequency domain due to different load configurations is investigated by using a mixed approach of two related methods for parametric model order reduction (MOR) based on interpolation in matrix manifolds of the reduced order models (ROMs) and by using a global basis over the parametric space. Furthermore an approach based on interpolation of the reduced solution is presented. These approaches of MOR permit the computational efficient evaluation of different load configurations and avoid the generation of a new FE model for each case. A numerical example illustrates the capability of those methods. The respective results using parametric MOR (pMOR) approaches are compared with the solution obtained by using the corresponding full-scale FE model and the direct application of the Krylov subspace method (KSM).