Linear and nonlinear vibrations analysis of viscoelastic sandwich beams

被引：100
|
作者：
Bilasse, M. [2 ]
Daya, E. M. [2 ]
Azrar, L. [1 ]
机构：
[1] Univ Abdelmalek Essaadi, Equipe Modelisat Math & Controle, Dept Math, Fac Sci & Tech Tanger, Tanger, Morocco
[2] Univ Paul Verlaine Metz, Lab Phys & Mecan Mat, CNRS, FRE 3236, F-57045 Metz 01, France
来源：
JOURNAL OF SOUND AND VIBRATION | 2010年 / 329卷 / 23期
关键词：
INCREMENTAL FINITE-ELEMENTS; ASYMPTOTIC-NUMERICAL-METHOD; EIGENVALUE PROBLEMS; MULTILAYER BEAMS; HOMOTOPY; SYSTEMS;
D O I：
10.1016/j.jsv.2010.06.012
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
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. (C) 2010 Elsevier Ltd. All rights reserved.
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收藏
页码：4950 / 4969
页数：20
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