Active-passive damping in functionally graded sandwich plate/shell structures

2018 ◽  
Vol 202 ◽  
pp. 324-332 ◽  
Author(s):  
José S. Moita ◽  
Aurélio L. Araújo ◽  
Victor Franco Correia ◽  
Cristóvão M. Mota Soares ◽  
José Herskovits
Keyword(s):  
Sandwich Plate ◽  
Functionally Graded ◽  
Shell Structures ◽  
Passive Damping

Elastic Foundation Analysis of Uniformly Loaded Functionally Graded Viscoelastic Sandwich Plates

2012 ◽  
Vol 28 (3) ◽  
pp. 439-452 ◽  
Author(s):  
A. M. Zenkour ◽  
M. Sobhy
Keyword(s):  
Power Law ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Equilibrium Equations ◽  
Graded Material ◽  
Plate Aspect Ratio ◽  
Type V ◽  
Power Law Index

AbstractThis paper deals with the static response of simply supported functionally graded material (FGM) viscoelastic sandwich plates subjected to transverse uniform loads. The FG sandwich plates are considered to be resting on Pasternak's elastic foundations. The sandwich plate is assumed to consist of a fully elastic core sandwiched by elastic-viscoelastic FGM layers. Material properties are graded according to a power-law variation from the interfaces to the faces of the plate. The equilibrium equations of the FG sandwich plate are given based on a trigonometric shear deformation plate theory. Using Illyushin's method, the governing equations of the viscoelastic sandwich plate can be solved. Parametric study on the bending analysis of FG sandwich plates is being investigated. These parameters include (i) power-law index, (ii) plate aspect ratio, (iii) side-to-thickness ratio, (iv) loading type, (v) foundation stiffnesses, and (vi) time parameter.

Nonlinear Vibration Analysis of Viscoelastic Smart Sandwich Plates Through the use of Fractional Derivative Zener Model

2021 ◽  
pp. 2150061
Author(s):  
Hamid Reza Talebi Amanieh ◽  
Seyed Alireza Seyed Roknizadeh ◽  
Arash Reza
Keyword(s):  
Differential Equations ◽  
Fractional Derivative ◽  
Nonlinear Vibration ◽  
Fractional Order ◽  
Sandwich Plate ◽  
Functionally Graded ◽  
Viscoelastic Layer ◽  
Sandwich Plates ◽  
Multiple Time ◽  
Nonlinear Frequency

In this paper, the nonlinear vibrational behavior of a sandwich plate with embedded viscoelastic material is studied through the use of constitutive equations with fractional derivatives. The studied sandwich structure is consisted of a viscoelastic core that is located between the faces of functionally graded magneto-electro-elastic (FG-MEE). In order to determine the frequency-dependent feature of the viscoelastic layer, four-parameter fractional derivative model is utilized. The material properties of FG-MEE face sheets have been distributed considering the power law scheme along the thickness. In addition, for derivation of the governing equations on the sandwich plate, first-order shear deformation plate theory along with von Karman-type of kinematic nonlinearity are implemented. The derived partial differential equations (PDEs) have been transformed to the ordinary differential equations (ODEs) through the Galerkin method. After that, the nonlinear vibration equations for the sandwich plate have been solved by multiple time scale perturbation technique. Moreover, for evaluating the effect of different parameters such as electric and magnetic fields, fractional order, the ratio of the core-to-face thickness and the power low index on the nonlinear vibration characteristics of sandwich plates with FG-MEE face sheets, the parametric analysis has been performed. The obtained results revealed the enhanced nonlinear natural frequency through an increment in the fractional order. Furthermore, the prominent influence of fractional order on the nonlinear frequency of sandwich plate was declared at the negative electric potential and positive magnetic potential.

Thermo-elasticity in shell structures made of functionally graded materials

2016 ◽  
Vol 227 (5) ◽  
pp. 1307-1329 ◽  
Author(s):  
Stephan Kugler ◽  
Peter A. Fotiu ◽  
Justin Murin
Keyword(s):  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Shell Structures ◽  
Graded Materials

An analytical solution for bending, buckling and vibration responses of FGM sandwich plates

2017 ◽  
Vol 21 (2) ◽  
pp. 727-757 ◽  
Author(s):  
Rafik Meksi ◽  
Samir Benyoucef ◽  
Abdelkader Mahmoudi ◽  
Abdelouahed Tounsi ◽  
El Abbas Adda Bedia ◽  
...  
Keyword(s):  
Free Vibration ◽  
Transverse Shear ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Numerical Study ◽  
Functionally Graded ◽  
Solution Technique ◽  
Shear Stresses ◽  
Sandwich Plates ◽  
Vibration Responses

In this study, a new shear deformation plate theory is introduced to illustrate the bending, buckling and free vibration responses of functionally graded material sandwich plates. A new displacement field containing integrals is proposed which involves only four variables. Based on the suggested theory, the equations of motion are derived from Hamilton’s principle. This theory involves only four unknown functions and accounts for quasi-parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the sandwich plate. The Navier solution technique is adopted to derive analytical solutions for simply supported rectangular sandwich plates. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the critical buckling loads, deflections, stresses, natural frequencies and sandwich plate type on the bending, buckling and free vibration responses of functionally graded sandwich plates.

Dynamic analysis of functionally graded carbon nanotube–reinforced shell structures with piezoelectric layers under dynamic loads

2019 ◽  
Vol 26 (13-14) ◽  
pp. 1157-1172 ◽  
Author(s):  
Hanen Mallek ◽  
Hanen Jrad ◽  
Mondher Wali ◽  
Amir Kessentini ◽  
Fehmi Gamaoun ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Functionally Graded ◽  
Dynamic Responses ◽  
Shell Structures ◽  
Geometrical Parameters ◽  
Transverse Shear Strain ◽  
Thickness Direction ◽  
Reinforced Composite ◽  
Piezoelectric Layers

This research makes a first attempt to investigate the dynamic characteristics of functionally graded carbon nanotube–reinforced composite plates and shell structures with surface-bonded piezoelectric layers. A variational formulation is derived based on the linear double director shell theory to ensure realistic parabolic variation of transverse shear strain along the thickness direction. The assumed natural strains method is adopted to enhance the accuracy of the four-node piezoelectric shell element developed in this study. Numerical studies are conducted to validate the efficiency and numerical stability of the proposed model to predict the behavior of piezolaminated composite shell structures. Furthermore, dynamic responses are extended to functionally graded carbon nanotube–reinforced composite shells covered by two active layers. The host structure is reinforced by single-walled carbon nanotubes, which are assumed to be graded through the thickness direction with different types of distributions and embedded in a polymer matrix. The effect of the volume fractions, distribution type, and geometrical parameters of the carbon nanotubes is examined.

Using Hyperbolic Shear Deformation Theory for Study and Analysis, the Thermal Bending of Functionally Graded Sandwich Plate Properties

2019 ◽  
Vol 12 (4) ◽  
pp. 326-338
Author(s):  
Bendahane Khaled ◽  
Bouguenina Otbi ◽  
Mokaddem Allel ◽  
Doumi Bendouma ◽  
Belakhdar Khalil
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Thermal Loading ◽  
Sandwich Plate ◽  
Virtual Work ◽  
Shear Deformation Theory ◽  
Hard Core ◽  
Functionally Graded ◽  
Thermal Bending ◽  
Plate Aspect Ratio

Background: Several studies and patents have been carried out on the realization and optimization of structures and structural elements subjected to several-weights-critical-applications. Among the structures optimized in engineering, there are sandwich structures that are mainly used to react under these conditions. Objective: In this article, we have investigated the thermal bending response of simply supported Functionally Graded Sandwich Plate (FGSP). Methods: Using simple Hyperbolic Shear Deformation Theory (HSDT). A type of FGSP with both functionally graded materiel FGM face and ceramic hard core are considered. Based on the principle of virtual work, the governing equations are derived and then these equations are solved via Navier procedure. Analytical solutions are obtained to predict the deflection, axial and shear stress of FGSP. Results: To verify the efficiency of the present method a comparison with existing literature and patents results is employed. The influence of the plate aspect ratio, the relative thickness, the gradient index, the sandwich plate schemes, and the thermal loading conditions on the bending of FGSP are investigated. Conclusion: A good agreement is obtained between present results and the existing literature solutions. It can be concluded that the proposed theory is accurate and simple in solving the thermoelastic bending behavior of functionally graded sandwich plates. Various patents have been discussed.

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