Multi-frequency nonlinear energy transfer from linear oscillators to mdof essentially nonlinear attachments

Stylianos Tsakirtzis; Gaetan Kerschen; Panagiotis N. Panagopoulos; Alexander F. Vakakis

doi:10.1016/j.jsv.2004.09.026

Multi-frequency nonlinear energy transfer from linear oscillators to mdof essentially nonlinear attachments

Stylianos Tsakirtzis, Gaetan Kerschen, Panagiotis N. Panagopoulos, Alexander F. Vakakis

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

Abstract

We report on multi-frequency energy transfer from a two-mode, initially excited linear system to a multi-degree-of-freedom (mdof) essentially nonlinear attachment. This occurs through simultaneous resonance interactions of both linear modes with a set of nonlinear normal modes (NNMs) of the attachment, and is studied utilizing numerical wavelet transforms. The multi-frequency nonlinear energy transfer discussed herein differs from multi-frequency energy transfer caused by resonance capture cascading where sequential energy transfer from a set of linear modes to single-dof nonlinear attachments takes place.

Original language	English (US)
Pages (from-to)	483-490
Number of pages	8
Journal	Journal of Sound and Vibration
Volume	285
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jsv.2004.09.026
State	Published - Jul 6 2005

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Acoustics and Ultrasonics
Mechanical Engineering

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10.1016/j.jsv.2004.09.026

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title = "Multi-frequency nonlinear energy transfer from linear oscillators to mdof essentially nonlinear attachments",

abstract = "We report on multi-frequency energy transfer from a two-mode, initially excited linear system to a multi-degree-of-freedom (mdof) essentially nonlinear attachment. This occurs through simultaneous resonance interactions of both linear modes with a set of nonlinear normal modes (NNMs) of the attachment, and is studied utilizing numerical wavelet transforms. The multi-frequency nonlinear energy transfer discussed herein differs from multi-frequency energy transfer caused by resonance capture cascading where sequential energy transfer from a set of linear modes to single-dof nonlinear attachments takes place.",

author = "Stylianos Tsakirtzis and Gaetan Kerschen and Panagopoulos, {Panagiotis N.} and Vakakis, {Alexander F.}",

note = "Funding Information: This work was supported in part by a grant for basic research {\textquoteleft}Thales{\textquoteright} awarded by the National Technical University of Athens (A.F.V), and by two grants from the Belgian National Fund for Scientific Research—FNRS and the Belgian Rotary District 1630 (G.K.).",

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AU - Tsakirtzis, Stylianos

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AU - Panagopoulos, Panagiotis N.

AU - Vakakis, Alexander F.

N1 - Funding Information: This work was supported in part by a grant for basic research ‘Thales’ awarded by the National Technical University of Athens (A.F.V), and by two grants from the Belgian National Fund for Scientific Research—FNRS and the Belgian Rotary District 1630 (G.K.).

PY - 2005/7/6

Y1 - 2005/7/6

N2 - We report on multi-frequency energy transfer from a two-mode, initially excited linear system to a multi-degree-of-freedom (mdof) essentially nonlinear attachment. This occurs through simultaneous resonance interactions of both linear modes with a set of nonlinear normal modes (NNMs) of the attachment, and is studied utilizing numerical wavelet transforms. The multi-frequency nonlinear energy transfer discussed herein differs from multi-frequency energy transfer caused by resonance capture cascading where sequential energy transfer from a set of linear modes to single-dof nonlinear attachments takes place.

AB - We report on multi-frequency energy transfer from a two-mode, initially excited linear system to a multi-degree-of-freedom (mdof) essentially nonlinear attachment. This occurs through simultaneous resonance interactions of both linear modes with a set of nonlinear normal modes (NNMs) of the attachment, and is studied utilizing numerical wavelet transforms. The multi-frequency nonlinear energy transfer discussed herein differs from multi-frequency energy transfer caused by resonance capture cascading where sequential energy transfer from a set of linear modes to single-dof nonlinear attachments takes place.

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Multi-frequency nonlinear energy transfer from linear oscillators to mdof essentially nonlinear attachments

Abstract

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