Nonlinear Moment Matching for the Simulation-Free Reduction of Structural Systems

03/28/2019
by   Maria Cruz Varona, et al.
0

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.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

01/30/2019

Practicable Simulation-Free Model Order Reduction by Nonlinear Moment Matching

In this paper, a practicable simulation-free model order reduction metho...
07/03/2020

Exploiting Extended Krylov Subspace for the Reduction of Regular and Singular Circuit Models

During the past decade, Model Order Reduction (MOR) has become key enabl...
04/05/2022

The Extended and Asymmetric Extended Krylov Subspace in Moment-Matching-Based Order Reduction of Large Circuit Models

The rapid growth of circuit complexity has rendered Model Order Reductio...
12/14/2020

Traffic Rate Network Tomography with Higher-Order Cumulants

Network tomography aims at estimating source-destination traffic rates f...
03/25/2018

Stability Analysis of Inexact Solves in Moment Matching based Model Reduction

Recently a new algorithm for model reduction of second order linear dyna...
09/28/2021

Complex moment-based method with nonlinear transformation for computing large and sparse interior singular triplets

This paper considers computing interior singular triplets corresponding ...
06/08/2016

A moment-matching Ferguson and Klass algorithm

Completely random measures (CRM) represent the key building block of a w...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.