Nonlinear Moment Matching for the Simulation-Free Reduction of Structural Systems
Abstract
This paper transfers the concept of moment matching to nonlinear structural systems and further provides a simulation-free reduction scheme for such nonlinear second-order models. After first presenting the steady-state interpretation of linear moment matching, we then extend this reduction concept to the nonlinear second-order case based on Astolfi [2010]. Then, similar simplifications as in Cruz Varona et al. [2019] are proposed to achieve a simulation-free nonlinear moment matching algorithm. A discussion on the simplifications and their limitations is presented, as well as a numerical example which illustrates the efficiency of the algorithm.
Keywords
Cite
@article{arxiv.1903.12303,
title = {Nonlinear Moment Matching for the Simulation-Free Reduction of Structural Systems},
author = {Maria Cruz Varona and Nico Schneucker and Boris Lohmann},
journal= {arXiv preprint arXiv:1903.12303},
year = {2019}
}
Comments
7 pages, 3 figures; short version arXiv:1901.10750 submitted to NOLCOS 2019; https://zenodo.org/record/2611120