Multiwave nonlinear couplings in elastic structures.
Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
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Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
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Osman, Frederick, Beech, Robert (2005)
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This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with...
Zaalishvili, V.B., Tuaeva, Zh.D. (2003)
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J. Chabassier, A. Chaigne, P. Joly (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependent damped plate, using Reissner Mindlin equations. The vibroacoustics equations allow the soundboard to radiate into the surrounding air, in which we wish to compute the complete...
Touzé, Cyril, Camier, Cédric, Favraud, Gaël, Thomas, Olivier (2008)
Mathematical Problems in Engineering
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Zheng, Y.F., Deng, L.Q. (2010)
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Achchhe Lal, Niranjan L. Shegokar (2017)
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This paper presents the free vibration response of piezo laminated composite geometrically nonlinear conical shell panel subjected to a thermo-electrical loading. The temperature field is assumed to be a uniform distribution over the shell surface and through the shell thickness and the electric field is assumed to be the transverse component E2 only. The material properties are assumed to be independent of the temperature and the electric field. The basic formulation is based on higher...
Cattani, Carlo (ed.), Seyranian, Alexander (ed.), Trendafilova, Irina (ed.) (2010)
Mathematical Problems in Engineering
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Peng, Jian-She, Liu, Yan, Yang, Jie (2010)
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Silva, Demian G., Varoto, Paulo S. (2008)
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Ibrahim, R.A., Grace, I.M. (2010)
Mathematical Problems in Engineering
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In nonlinear dynamical systems, strong quasiperiodic beating effects appear due to combination of self-excited and forced vibration. The presence of symmetric or asymmetric beatings indicates an exchange of energy between individual degrees of freedom of the model or by multiple close dominant frequencies. This effect is illustrated by the case of the van der Pol equation in the vicinity of resonance. The approximate analysis of these nonlinear effects uses the harmonic balance method...