@inproceedings{f0452f82dea043d1b8de3d2012921849,
title = "Simplifying Transformations for Nonlinear Systems: Part I, An Optimisation-Based Variant of Normal Form Analysis",
abstract = "This paper introduces the idea of a {\textquoteleft}simplifying transformation{\textquoteright} for nonlinear structural dynamic systems. The idea simply stated; is to bring under one heading, those transformations which {\textquoteleft}simplify{\textquoteright} structural dynamic systems or responses in some sense. The equations of motion may be cast in a simpler form or decoupled (and in this sense, nonlinear modal analysis is encompassed) or the responses may be modified in order to isolate and remove certain components. It is the latter sense of simplification which is considered in this paper. One can regard normal form analysis in a way as the removal of superharmonic content from nonlinear system response. In the current paper, this problem is cast in an optimisation form and the differential evolution algorithm is used.",
keywords = "Nonlinearity, Differential evolution, Optimisation, Simplifying transformation, Superharmonics",
author = "N Dervilis and Keith Worden and Wagg, {David J} and Neild, {Simon A}",
year = "2015",
month = aug,
day = "14",
doi = "10.1007/978-3-319-15221-9_28",
language = "English",
isbn = "9783319152202",
series = "Conference Proceedings of the Society for Experimental Mechanics Series",
publisher = "Springer",
pages = "315--320",
editor = "Ga{\"e}tan Kerschen",
booktitle = "Nonlinear Dynamics, Volume 1",
note = "33rd IMAC Conference and Exposition on Structural Dynamics, 2015 ; Conference date: 02-02-2015 Through 05-02-2015",
}