Model reduction of linear time-varying systems with applications for moving loads
For engineers working on moving load problems, this work offers new reduction approaches but is incremental in nature.
The paper explores model reduction techniques for linear time-varying systems with moving loads, addressing challenges from time-varying projection matrices and proposing both simple and advanced methods.
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.