Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

G. Kerschen; M. Peeters; J. C. Golinval; A. F. Vakakis

doi:10.1016/j.ymssp.2008.04.002

Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

G. Kerschen, M. Peeters, J. C. Golinval, A. F. Vakakis

Research output: Contribution to journal › Article › peer-review

Abstract

The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part II. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight several aspects that might drive their development in the future. Specifically, we support that (i) numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs, and (ii) time-frequency analysis is particularly suitable for the analysis of the resulting dynamics. Another objective of the present paper is to describe, in simple terms, and to illustrate the fundamental properties of NNMs. This is achieved to convince the structural dynamicist not necessarily acquainted with them that they are a useful framework for the analysis of nonlinear vibrating structures.

Original language	English (US)
Pages (from-to)	170-194
Number of pages	25
Journal	Mechanical Systems and Signal Processing
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/j.ymssp.2008.04.002
State	Published - Jan 2009

Keywords

Modal analysis
Nonlinear dynamics
Nonlinear normal modes
Time-frequency analysis
Wavelet transform

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Civil and Structural Engineering
Aerospace Engineering
Mechanical Engineering
Computer Science Applications

Online availability

10.1016/j.ymssp.2008.04.002

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Cite this

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abstract = "The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part II. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight several aspects that might drive their development in the future. Specifically, we support that (i) numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs, and (ii) time-frequency analysis is particularly suitable for the analysis of the resulting dynamics. Another objective of the present paper is to describe, in simple terms, and to illustrate the fundamental properties of NNMs. This is achieved to convince the structural dynamicist not necessarily acquainted with them that they are a useful framework for the analysis of nonlinear vibrating structures.",

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AU - Golinval, J. C.

AU - Vakakis, A. F.

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AB - The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part II. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight several aspects that might drive their development in the future. Specifically, we support that (i) numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs, and (ii) time-frequency analysis is particularly suitable for the analysis of the resulting dynamics. Another objective of the present paper is to describe, in simple terms, and to illustrate the fundamental properties of NNMs. This is achieved to convince the structural dynamicist not necessarily acquainted with them that they are a useful framework for the analysis of nonlinear vibrating structures.

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KW - Nonlinear normal modes

KW - Time-frequency analysis

KW - Wavelet transform

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Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

Abstract

Keywords

ASJC Scopus subject areas

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