Linear and nonlinear vibrations analysis of viscoelastic sandwich beams |
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Authors: | M Bilasse L Azrar |
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Institution: | a Laboratoire de Physique et Mécanique des Matériaux, FRE CNRS 3236, Université Paul Verlaine-Metz, Ile du Saulcy, 57045 Metz Cedex 01, France b Equipe de Modélisation Mathématique et Contrôle, Département de Mathématiques, Faculté des Sciences et Techniques de Tanger, Université Abdelmalek Essaadi, BP 416 Tanger, Morocco |
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Abstract: | In this paper, numerical models are proposed for linear and nonlinear vibrations analyses of viscoelastic sandwich beams with various viscoelastic frequency dependent laws using the finite element based solution. Real and various complex eigenmodes approaches are investigated as Galerkin bases. Based on harmonic balance method, simplified and general approaches are developed for nonlinear vibration analysis. Analytical frequency-amplitude and phase-amplitude relationships are elaborated based on the numerically computed complex eigenmodes. The equivalent loss factors and frequencies as well as the forced harmonic response and phase curves are performed for sandwich beams with various boundary conditions and frequency dependent viscoelastic laws. |
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