The importance of phase-locking in nonlinear modal interactions

Tom L Hill; Andrea Cammarano; Simon Neild; D.J. Wagg

doi:10.1007/978-3-319-29739-2_12

The importance of phase-locking in nonlinear modal interactions

Tom L Hill, Andrea Cammarano, Simon Neild, D.J. Wagg

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

In nonlinear systems the constituent linear modes may interact due to internal resonance. In this paper we classify two distinct classes of modal interactions: phase-locked interactions, in which there is a specific phase between the interacting modes; and phase-unlocked interactions, in which the modes may interact regardless of their phase. This discussion is accompanied by the study of an example structure in which both classes of interaction may be observed. The structure is used to demonstrate the differences between phase-locked and phase-unlocked interactions, both in terms of their individual influence on the response, and in terms of their influence on each other when both classes of interactions are present.

Original language	English
Title of host publication	Nonlinear Dynamics, Volume 1
Subtitle of host publication	Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016
Publisher	Springer
Pages	121-130
Number of pages	10
Volume	1
ISBN (Electronic)	978-3-319-29739-2
ISBN (Print)	978-3-319-29738-5
DOIs	https://doi.org/10.1007/978-3-319-29739-2_12
Publication status	Published - 2016

Publication series

Name	Conference Proceedings of the Society for Experimental Mechanics Series
Publisher	Springer
ISSN (Print)	2191-5644

Keywords

Backbone curves
Second-order normal forms
Modal analysis
Modal interaction
Phase

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Hill, T. L., Cammarano, A., Neild, S., & Wagg, D. J. (2016). The importance of phase-locking in nonlinear modal interactions. In Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016 (Vol. 1, pp. 121-130). (Conference Proceedings of the Society for Experimental Mechanics Series). Springer. https://doi.org/10.1007/978-3-319-29739-2_12

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Hill, TL, Cammarano, A, Neild, S & Wagg, DJ 2016, The importance of phase-locking in nonlinear modal interactions. in Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. vol. 1, Conference Proceedings of the Society for Experimental Mechanics Series, Springer, pp. 121-130. https://doi.org/10.1007/978-3-319-29739-2_12

The importance of phase-locking in nonlinear modal interactions. / Hill, Tom L; Cammarano, Andrea; Neild, Simon; Wagg, D.J.

Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Vol. 1 Springer, 2016. p. 121-130 (Conference Proceedings of the Society for Experimental Mechanics Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

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AU - Cammarano, Andrea

AU - Neild, Simon

AU - Wagg, D.J.

PY - 2016

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N2 - In nonlinear systems the constituent linear modes may interact due to internal resonance. In this paper we classify two distinct classes of modal interactions: phase-locked interactions, in which there is a specific phase between the interacting modes; and phase-unlocked interactions, in which the modes may interact regardless of their phase. This discussion is accompanied by the study of an example structure in which both classes of interaction may be observed. The structure is used to demonstrate the differences between phase-locked and phase-unlocked interactions, both in terms of their individual influence on the response, and in terms of their influence on each other when both classes of interactions are present.

AB - In nonlinear systems the constituent linear modes may interact due to internal resonance. In this paper we classify two distinct classes of modal interactions: phase-locked interactions, in which there is a specific phase between the interacting modes; and phase-unlocked interactions, in which the modes may interact regardless of their phase. This discussion is accompanied by the study of an example structure in which both classes of interaction may be observed. The structure is used to demonstrate the differences between phase-locked and phase-unlocked interactions, both in terms of their individual influence on the response, and in terms of their influence on each other when both classes of interactions are present.

KW - Backbone curves

KW - Second-order normal forms

KW - Modal analysis

KW - Modal interaction

KW - Phase

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Hill TL, Cammarano A, Neild S, Wagg DJ. The importance of phase-locking in nonlinear modal interactions. In Nonlinear Dynamics, Volume 1: Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Vol. 1. Springer. 2016. p. 121-130. (Conference Proceedings of the Society for Experimental Mechanics Series). https://doi.org/10.1007/978-3-319-29739-2_12