HARMONIC BALANCE COMPUTATION OF THE NONLINEAR FREQUENCY RESPONSE OF A THIN PLATE

Lee, Jongsuh; Kerschen, Gaëtan; Detroux, Thibaut

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HARMONIC BALANCE COMPUTATION OF THE NONLINEAR FREQUENCY RESPONSE OF A THIN PLATE

Lee, Jongsuh; Kerschen, Gaëtan; Detroux, Thibaut

2017 • 24th International Congress on Sound and Vibration

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https://hdl.handle.net/2268/213233

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Keywords :

NONLINEAR PLATE; HARMONIC BALANCE METHOD; NONLINEAR FREQUENCY CURVE

Abstract :

[en] The harmonic balance method (HBM) is used to investigate the dynamical behavior of the geometrical nonlinear plate. The middle plane displacements are included in the plate in which the equations of motion are developed by the principle virtual work. Moreover, the nonlinear frequency response curves, or NFRCs, are obtained by a continuation method.

Disciplines :

Mechanical engineering

Author, co-author :

Lee, Jongsuh ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Kerschen, Gaëtan ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Detroux, Thibaut ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

HARMONIC BALANCE COMPUTATION OF THE NONLINEAR FREQUENCY RESPONSE OF A THIN PLATE

Publication date :

24 July 2017

Event name :

24th International Congress on Sound and Vibration

Event organizer :

Institute of Acoustics

Event place :

London, United Kingdom

Event date :

FROM 23-07-2017 TO 27-07-2017

Audience :

International

References of the abstract :

The harmonic balance method (HBM) is used to investigate the dynamical behavior of the geometrical nonlinear plate. The middle plane displacements are included in the plate in which the equations of motion are developed by the principle virtual work. Moreover, the nonlinear frequency response curves, or NFRCs, are obtained by a continuation method.

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since 28 July 2017

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Bibliography

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Chia, C.-Y., Geometrically nonlinear behavior of composite plates: A review (1988) Applied Mechanics Reviews, 41, pp. 439-451
Lacarbonara, W., Pasquali, M., A geometrically exact formulation for thin multi-layered laminated composite plates: Theory and experiment (2011) Composite Structures, 93, pp. 1649-1663
Yamaki, N., Influence of large amplitudes on flexural vibrations of elastic plates (1961) Journal of Applied Mathematics and Mechanics, pp. 501-510
Mei, C., Nonlinear vibration of beams by matrix (1973) Computers & Structures, 3 (1), pp. 163-174
Ribeiro, P., Petyt, M., Multi modal geometrical nonlinear free vibration of fully clamped composite laminated plates (1999) Journal of Sound and Vibration, 225 (1), pp. 127-152
Barillon, F., Sinou, J., Duffal, J., Jézéquel, L., Non-linear dynamics of a whole vehicle finite element model using a harmonic balance method (2009) International Journal of Vehicle Design, 63 (4), pp. 387-403
Sénéchal, A., Petitjean, B., Zoghaib, L., Development of a numerical tool for industrial structures with local nonlinearities International Conference on Noise and Vibration Engieering ISMA 2014, , Leuven
Krack, M., Scheidt, L.-P.-V., Wallaschek, J., Siewert, C., Hartung, A., Reduced order modeling based on complex nonlinear modal analysis and its application to bladed disks with shroud contact (2013) Journal of Engineering for Gas Turbines and Power, 135, pp. 1-8
Detroux, T., Renson, L., Masset, L., Kerschen, G., The harmonic balance method for bifurcation analysis of large sclae nonlinear mechanical systems (2015) Computer Methods in Applied Mechanics and Engineering, 296, pp. 18-38