Usage of nonlinear normal modes in dynamics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43899301" target="_blank" >RIV/49777513:23520/11:43899301 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Usage of nonlinear normal modes in dynamics

Original language description

The paper summarizes the method of nonlinear normal modes (NNMs) which has gained importance in nonlinear dynamics. Two main definitions of NNMs are discussed: Rosenberg's definition and Shaw and Pierre definition based on geometric arguments and inspired by the centre manifold technique. Fundamental properties of NNMs like frequency-energy dependence, modal interactions and mode bifurcations and stability are introduced. To compute the NNMs analytical and numerical approaches are used and compared. TheNNMs approach to nonlinear dynamics is clearly demonstrated and compared with linear normal modes (LNMs) using a smooth nonlinear mechanical system.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

BI - Acoustics and oscillation

OECD FORD branch

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Project

<a href="/en/project/GPP101%2F11%2FP457" target="_blank" >GPP101/11/P457: Modelling, analysis and optimisation of vibro-impact oscillation in large rotating coupled systems</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

17th International Conference Engineering Mechanics 2011

ISBN

978-80-87012-33-8

ISSN

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e-ISSN

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Number of pages

4

Pages from-to

71-74

Publisher name

Institute of Thermomechanics AS CR

Place of publication

Prague

Event location

Svratka

Event date

May 9, 2011

Type of event by nationality

EUR - Evropská akce

UT code for WoS article

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