Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
type: Item
instance of: scholarly article
title: Nonlinear normal modes of buckled beams: Three-to-one and one-to-one internal resonances
zbMATH Open document ID: 0960.74032
DOI: 10.1023/A:1008389024738
author: W. Lacarbonara
author: Char-Ming Chin
author: A. H. Nayfeh
published in: Nonlinear Dynamics
publication date: 2000-02-08T00:00:00Z
review text: The authors use the method of multiple scales to study nonlinear normal modes for a first-mode buckled beam, in the case of one-to-one and three-to-one internal resonances. In particular it is found that the buckled beam possesses rich nonlinear behavior even in the case without damping or external resonances.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 1360014
zbMATH Keywords: method of multiple scales
zbMATH Keywords: nonlinear normal modes
zbMATH Keywords: first-mode buckled beam
zbMATH Keywords: internal resonances
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
full work available at URL: a:1008389024738
OpenAlex ID: W122470764
description: scientific article; zbMATH DE number 1360014