Model reduction of linear time-varying systems with applications for moving loads

TL;DR

This paper explores model reduction techniques for linear time-varying systems with moving loads, addressing challenges from time-dependent matrices and introducing advanced methods involving time derivatives.

Contribution

It presents both simple and advanced model reduction methods tailored for systems with moving loads, incorporating time derivatives for improved accuracy.

Findings

Effective reduction of linear time-varying systems demonstrated.

New techniques handle time-dependent matrices and derivatives.

Potential for improved simulation efficiency in systems with moving loads.

Abstract

In this paper we consider different model reduction techniques for systems with moving loads. Due to the time-dependency of the input and output matrices, the application of time-varying projection matrices for the reduction offers new degrees of freedom, which also come along with some challenges. This paper deals with both simple methods for the reduction of particular linear time-varying systems, as well as with a more advanced technique considering the emerging time derivatives.