Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes

L. Renson; D. A. Ehrhardt; D. A.W. Barton; S. A. Neild; J. E. Cooper

Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes

L. Renson, D. A. Ehrhardt, D. A.W. Barton, S. A. Neild, J. E. Cooper

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

4 Citations (Scopus)

150 Downloads (Pure)

Abstract

This paper numerically and experimentally investigates the relationship between the nonlinear normal modes and the forced response of a clamped-clamped cross beam structure. The system possesses closely-spaced linear modes such that the applied force distribution across the structure plays a central role in the appropriation of the nonlinear normal modes. Numerical simulations show that the quadrature conditions of the forced response does not necessarily match the peak response nor the nonlinear normal modes of the underlying conservative system, but instead are dependent upon the applied excitation. Experimental investigations performed with a single-point excitation and control based continuation further demonstrate the necessity for appropriate forcing in order to extract the NNMs of such systems.

Original language	English
Title of host publication	Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics
Publisher	K U Leuven
Pages	2775-2784
Number of pages	10
ISBN (Electronic)	9789073802940
Publication status	Published - 19 Sep 2016
Event	27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016 - Leuven, Belgium Duration: 19 Sep 2016 → 21 Sep 2016

Conference

Conference	27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016
Country/Territory	Belgium
City	Leuven
Period	19/09/16 → 21/09/16

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TNS: Fellowship - Ludovic Renson
Barton, D. A. W.
1/05/16 → 30/04/18
Project: Research
Systematic experimental exploration of nonlinear structures with control-based continuation
Barton, D. A. W.
1/09/13 → 1/09/15
Project: Research
Dynamic design tools for understanding and exploiting nonlinearity in structures
Neild, S. A.
1/02/13 → 31/07/18
Project: Research

Cite this

Renson, L., Ehrhardt, D. A., Barton, D. A. W., Neild, S. A., & Cooper, J. E. (2016). Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes. In Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics (pp. 2775-2784). K U Leuven.

Renson, L. ; Ehrhardt, D. A. ; Barton, D. A.W. et al. / Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes. Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics. K U Leuven, 2016. pp. 2775-2784

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title = "Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes",

abstract = "This paper numerically and experimentally investigates the relationship between the nonlinear normal modes and the forced response of a clamped-clamped cross beam structure. The system possesses closely-spaced linear modes such that the applied force distribution across the structure plays a central role in the appropriation of the nonlinear normal modes. Numerical simulations show that the quadrature conditions of the forced response does not necessarily match the peak response nor the nonlinear normal modes of the underlying conservative system, but instead are dependent upon the applied excitation. Experimental investigations performed with a single-point excitation and control based continuation further demonstrate the necessity for appropriate forcing in order to extract the NNMs of such systems.",

author = "L. Renson and Ehrhardt, {D. A.} and Barton, {D. A.W.} and Neild, {S. A.} and Cooper, {J. E.}",

year = "2016",

month = sep,

day = "19",

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booktitle = "Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics",

publisher = "K U Leuven",

note = "27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016 ; Conference date: 19-09-2016 Through 21-09-2016",

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Renson, L, Ehrhardt, DA, Barton, DAW , Neild, SA & Cooper, JE 2016, Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes. in Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics. K U Leuven, pp. 2775-2784, 27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016, Leuven, Belgium, 19/09/16.

Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes. / Renson, L.; Ehrhardt, D. A.; Barton, D. A.W. et al.

Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics. K U Leuven, 2016. p. 2775-2784.

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

TY - GEN

T1 - Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes

AU - Renson, L.

AU - Ehrhardt, D. A.

AU - Barton, D. A.W.

AU - Neild, S. A.

AU - Cooper, J. E.

PY - 2016/9/19

Y1 - 2016/9/19

N2 - This paper numerically and experimentally investigates the relationship between the nonlinear normal modes and the forced response of a clamped-clamped cross beam structure. The system possesses closely-spaced linear modes such that the applied force distribution across the structure plays a central role in the appropriation of the nonlinear normal modes. Numerical simulations show that the quadrature conditions of the forced response does not necessarily match the peak response nor the nonlinear normal modes of the underlying conservative system, but instead are dependent upon the applied excitation. Experimental investigations performed with a single-point excitation and control based continuation further demonstrate the necessity for appropriate forcing in order to extract the NNMs of such systems.

AB - This paper numerically and experimentally investigates the relationship between the nonlinear normal modes and the forced response of a clamped-clamped cross beam structure. The system possesses closely-spaced linear modes such that the applied force distribution across the structure plays a central role in the appropriation of the nonlinear normal modes. Numerical simulations show that the quadrature conditions of the forced response does not necessarily match the peak response nor the nonlinear normal modes of the underlying conservative system, but instead are dependent upon the applied excitation. Experimental investigations performed with a single-point excitation and control based continuation further demonstrate the necessity for appropriate forcing in order to extract the NNMs of such systems.

M3 - Conference Contribution (Conference Proceeding)

AN - SCOPUS:85018168998

SP - 2775

EP - 2784

BT - Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics

PB - K U Leuven

T2 - 27th International Conference on Noise and Vibration Engineering, ISMA 2016 and International Conference on Uncertainty in Structural Dynamics, USD2016

Y2 - 19 September 2016 through 21 September 2016

ER -

Renson L, Ehrhardt DA, Barton DAW , Neild SA , Cooper JE. Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes. In Proceedings of ISMA 2016 - International Conference on Noise and Vibration Engineering and USD2016 - International Conference on Uncertainty in Structural Dynamics. K U Leuven. 2016. p. 2775-2784

Connecting nonlinear normal modes to the forced response of a geometric nonlinear structure with closely spaced modes

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Projects

TNS: Fellowship - Ludovic Renson

Systematic experimental exploration of nonlinear structures with control-based continuation

Dynamic design tools for understanding and exploiting nonlinearity in structures

Cite this