Computation of damped nonlinear normal modes with internal resonances: a boundary value approach

Ludovic Renson; C. Touze; Gaetan Kerschen

Computation of damped nonlinear normal modes with internal resonances: a boundary value approach

Ludovic Renson, C. Touze, Gaetan Kerschen

Department of Engineering Mathematics

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Abstract

This paper considers the computation of nonlinear normal modes (NNMs) defined as two-dimensional manifolds in phase space. Because existing methods use explicit manifold parameterization, NNM computation in the presence of internal resonances requires multiple pairs of constraint coordinates. This paper investigates an alternative method for which the manifold is computed using successive boundary value problems.

Original language	English
Publication status	Unpublished - 11 Jul 2014
Event	8th European Nonlinear Oscillations Conference (2014) - Wien, Austria Duration: 6 Jul 2014 → 11 Jul 2014 Conference number: 8

Conference

Conference	8th European Nonlinear Oscillations Conference (2014)
Abbreviated title	ENOC8
Country/Territory	Austria
City	Wien
Period	6/07/14 → 11/07/14

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title = "Computation of damped nonlinear normal modes with internal resonances: a boundary value approach",

abstract = "This paper considers the computation of nonlinear normal modes (NNMs) defined as two-dimensional manifolds in phase space. Because existing methods use explicit manifold parameterization, NNM computation in the presence of internal resonances requires multiple pairs of constraint coordinates. This paper investigates an alternative method for which the manifold is computed using successive boundary value problems.",

author = "Ludovic Renson and C. Touze and Gaetan Kerschen",

year = "2014",

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language = "English",

note = "8th European Nonlinear Oscillations Conference (2014), ENOC8 ; Conference date: 06-07-2014 Through 11-07-2014",

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T1 - Computation of damped nonlinear normal modes with internal resonances

T2 - 8th European Nonlinear Oscillations Conference (2014)

AU - Renson, Ludovic

AU - Touze, C.

AU - Kerschen, Gaetan

N1 - Conference code: 8

PY - 2014/7/11

Y1 - 2014/7/11

N2 - This paper considers the computation of nonlinear normal modes (NNMs) defined as two-dimensional manifolds in phase space. Because existing methods use explicit manifold parameterization, NNM computation in the presence of internal resonances requires multiple pairs of constraint coordinates. This paper investigates an alternative method for which the manifold is computed using successive boundary value problems.

AB - This paper considers the computation of nonlinear normal modes (NNMs) defined as two-dimensional manifolds in phase space. Because existing methods use explicit manifold parameterization, NNM computation in the presence of internal resonances requires multiple pairs of constraint coordinates. This paper investigates an alternative method for which the manifold is computed using successive boundary value problems.

M3 - Conference Abstract

Y2 - 6 July 2014 through 11 July 2014

ER -

Computation of damped nonlinear normal modes with internal resonances: a boundary value approach

Abstract

Conference

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