Nonlinear forced vibration investigation of the sandwich porous FGM beams with viscoelastic core layer

In the present investigation, nonlinear forced vibration analyses of porous functionally graded material viscoelastic sandwich beams are studied. The analytical formulation takes into account normal and shear strains in the core layer by employing the higher-order Zig-Zag theories. The sandwich stru...

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Bibliographic Details
Published in:Acta mechanica 2024-05, Vol.235 (5), p.2889-2904
Main Authors: Ghazwani, Mofareh Hassan, Alnujaie, Ali, Youzera, Hadj, Meftah, ‏Sid Ahmed, Tounsi, Abdelouahed
Format: Article
Language:English
Subjects:
Amplitudes
Beams (structural)
Classical and Continuum Physics
Complex numbers
Control
Damping
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Forced vibration
Frequency response
Functionally gradient materials
Galerkin method
Geometric nonlinearity
Heat and Mass Transfer
Material properties
Original Paper
Parameters
Porous materials
Sandwich structures
Shear strain
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Viscoelasticity
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Summary:In the present investigation, nonlinear forced vibration analyses of porous functionally graded material viscoelastic sandwich beams are studied. The analytical formulation takes into account normal and shear strains in the core layer by employing the higher-order Zig-Zag theories. The sandwich structure consists of FGM faces that exhibit porosities, while the core layer is composed of viscoelastic material. The proposed model is developed in the frequency domain, by incorporating the material properties of the viscoelastic material through complex numbers. The introducing of the geometric nonlinearity effect results in a sixth-order frequency-amplitude equation, affected by numerous intricate coefficients. This equation was resolved using the balanced harmonic method in conjunction with a one-mode Galerkin's method to predict damping and frequency response curves. These latters are presented and discussed for several geometrical and mechanical sandwich beams configuration. The parametric study is specifically aimed at delineating the influence of the FGM parameters of the face sheets, particularly, the power-law index and the porosity parameter on the response curves and the variation of the nonlinear loss factor with the amplitude of vibration.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-024-03865-7