scholarly journals Numerical Study and Analysis of Functionally Graded Double Curved Panels under Free Vibration

2020 ◽  
Vol 10 (4) ◽  
pp. 141-154
Author(s):  
Raparthi Srilakshmi et al., Raparthi Srilakshmi et al., ◽  
Keyword(s):  
Free Vibration ◽  
Numerical Study ◽  
Functionally Graded ◽  
Curved Panels

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.

Analytical Solution for Free Vibration of Sandwich Structures with a Functionally Graded Syntactic Foam Core

2010 ◽  
Vol 636-637 ◽  
pp. 1143-1149 ◽  
Author(s):  
O. Rahmani ◽  
K. Malekzadeh ◽  
S. Mohammad ◽  
R. Khalili
Keyword(s):  
Free Vibration ◽  
Sandwich Panel ◽  
Sandwich Structures ◽  
Numerical Study ◽  
Sandwich Beam ◽  
Syntactic Foam ◽  
Beam Theory ◽  
Functionally Graded ◽  
Foam Core ◽  
The Face

In this study, after a brief introduction to recent investigations on syntactic foam, the free vibration of sandwich structures with syntactic foam as a functionally graded flexible core based on higher order sandwich panel theory is investigated. The formulation uses the classical beam theory for the face sheets and an elasticity theory for the functionally graded core. In the following a numerical study of free vibration of a simply-supported sandwich beam is carried out and corresponding eigenmodes are obtained.

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