Improved layer-wise optimization algorithm for the design of viscoelastic composite structures

2017 ◽  
Vol 176 ◽  
pp. 342-358 ◽  
Author(s):  
Komlan Akoussan ◽  
Mohamed Hamdaoui ◽  
El Mostafa Daya
Keyword(s):  
Optimization Algorithm ◽  
Composite Structures ◽  
Viscoelastic Composite

scholarly journals Finite Element Modelling of Frequency-Dependent Dynamic Behaviour of Viscoelastic Composite Structures

2004 ◽  
Vol 13 (1) ◽  
pp. 096369350401300 ◽  
Author(s):  
Evgeny Barkanov ◽  
Andris Chate
Keyword(s):  
Finite Element ◽  
Composite Structures ◽  
Laminated Composite ◽  
Element Analysis ◽  
Viscoelastic Composite ◽  
Fitting Procedure ◽  
Damping Characteristics ◽  
Storage And Loss Moduli ◽  
Free Vibration Frequency ◽  
Viscoelastic Layers

Finite element analysis of sandwich and laminated composite structures with viscoelastic layers is performed. The present implementation gives the possibility to preserve the frequency dependence for the storage and loss moduli of viscoelastic materials exactly. Moreover, the storage and loss moduli in this case are defined directly in the frequency domain by an experimental technique for each material and can be used after curve fitting procedure in the numerical analysis. Damping characteristics of viscoelastic composite structures are evaluated by the energy method, the method of complex eigenvalues, from the resonant peaks of the frequency response function and using the steady state vibrations. Numerical examples are given to demonstrate the validity and application of the approaches developed for the free vibration, frequency and transient response analyses.

The Biot Model and Its Application in Viscoelastic Composite Structures

2007 ◽  
Vol 129 (5) ◽  
pp. 533-540 ◽  
Author(s):  
J. Zhang ◽  
G. T. Zheng
Keyword(s):  
Mathematical Model ◽  
Dynamic Behavior ◽  
Composite Structures ◽  
Optimization Method ◽  
Noise Attenuation ◽  
Viscoelastic Materials ◽  
Numerical Techniques ◽  
Viscoelastic Composite ◽  
Biot Model ◽  
Numerical Examples

Application of viscoelastic materials in vibration and noise attenuation of complicated machines and structures is becoming more and more popular. As a result, analytical and numerical techniques for viscoelastic composite structures have received a great deal of attention among researchers in recent years. Development of a mathematical model that can accurately describe the dynamic behavior of viscoelastic materials is an important topic of the research. This paper investigates the procedure of applying the Biot model to describe the dynamic behavior of viscoelastic materials. As a minioscillator model, the Biot model not only possesses the capability of its counterpart, the GHM (Golla-Hughes-McTavish) model, but also has a simpler form. Furthermore, by removing zero eigenvalues, the Biot model can provide a smaller-scale mathematical model than the GHM model. This procedure of dimension reduction is studied in detail here. An optimization method for determining the parameters of the Biot model is also investigated. With numerical examples, these merits, the computational efficiency, and the accuracy of the Biot model are illustrated and proved.

Sensitivity analysis of the damping properties of viscoelastic composite structures according to the layers thicknesses

2016 ◽  
Vol 149 ◽  
pp. 11-25 ◽  
Author(s):  
Komlan Akoussan ◽  
Hakim Boudaoud ◽  
El Mostafa Daya ◽  
Yao Koutsawa ◽  
Erasmo Carrera
Keyword(s):  
Sensitivity Analysis ◽  
Composite Structures ◽  
Damping Properties ◽  
Viscoelastic Composite

scholarly journals Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Antonio Márquez ◽  
Salim Meddahi
Keyword(s):  
Wave Equation ◽  
Discontinuous Galerkin ◽  
Variational Formulation ◽  
Composite Structures ◽  
Discontinuous Galerkin Methods ◽  
Energy Estimate ◽  
Well Posedness ◽  
Galerkin Methods ◽  
Optimal Error ◽  
Viscoelastic Composite

Abstract We introduce and analyze a stress-based formulation for Zener’s model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely elastic and viscoelastic parts in their composition. We write the mixed variational formulation of the problem in terms of a class of tensorial wave equation and obtain an energy estimate that guaranties the well-posedness of the problem through a standard Galerkin procedure. We propose and analyze mixed continuous and discontinuous Galerkin space discretizations of the problem and derive optimal error bounds for each semidiscrete solution in the corresponding energy norm. Finally, we discuss full discretization strategies for both Galerkin methods.

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