Axisymmetric Free Vibration Analysis of Functionally Graded Sandwich Annular Plates: A Quasi-3D Shear and Normal Deformable Model

被引:7
|
作者
Akbari, M. [1 ]
Sadighi, M. [1 ]
Kiani, Y. [2 ]
Eslami, M. R. [1 ]
机构
[1] Amirkabir Univ Technol, Mech Engn Dept, Tehran, Iran
[2] Shahrekord Univ, Fac Engn, Shahrekord, Iran
关键词
FG sandwich annular plate; quasi-3D plate model; axisymmetric natural frequency; GDQM; shear and normal deformability; DIFFERENTIAL QUADRATURE; SHELLS;
D O I
10.1142/S0219455423500864
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This paper concentrates on axisymmetric free vibration of functionally graded (FG) sandwich annular plates obtained using a quasi-3D plate theory. Motion equations and corresponding boundary conditions are established via the mentioned plate theory which takes into consideration the non-uniform shear strains across the thickness and also stretching trough the thickness. Generalized differential quadrature method (GDQM) is applied to discrete the annular sandwich plate governing equations. The results of this study are applicable for optional thick plates since the adopted theory considers the shear and normal strains across the thickness direction. Outcoming results are verified on the basis of information accessible in the open literature. To investigate the influences of power law index of functionally graded materials (FGMs) and dimensions of the sandwich annular plate layers, parametric studies are presented. It was well demonstrated that the applied theory precisely predicts the natural frequencies of FG annular sandwich plates with arbitrary thickness.
引用
收藏
页数:24
相关论文
共 50 条
  • [1] A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates
    Neves, A. M. A.
    Ferreira, A. J. M.
    Carrera, E.
    Roque, C. M. C.
    Cinefra, M.
    Jorge, R. M. N.
    Soares, C. M. M.
    COMPOSITES PART B-ENGINEERING, 2012, 43 (02) : 711 - 725
  • [2] A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates
    Neves, A. M. A.
    Ferreira, A. J. M.
    Carrera, E.
    Cinefra, M.
    Roque, C. M. C.
    Jorge, R. M. N.
    Soares, C. M. M.
    COMPOSITE STRUCTURES, 2012, 94 (05) : 1814 - 1825
  • [3] Free vibration of functionally graded graphene platelet reinforced plates: A quasi 3D shear and normal deformable plate model
    Jafari, P.
    Kiani, Y.
    COMPOSITE STRUCTURES, 2021, 275
  • [4] New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates
    Hebali, Habib
    Tounsi, Abdelouahed
    Houari, Mohammed Sid Ahmed
    Bessaim, Aicha
    Bedia, El Abbes Adda
    JOURNAL OF ENGINEERING MECHANICS, 2014, 140 (02) : 374 - 383
  • [5] A New Quasi-3D Model for Functionally Graded Plates
    Ghumare, Shantaram M.
    Sayyad, Atteshamuddin S.
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2019, 5 (02): : 367 - 380
  • [6] Quasi-3D Refined Theory for Functionally Graded Porous Plates: Vibration Analysis
    A. M. Zenkour
    M. H. Aljadani
    Physical Mesomechanics, 2021, 24 : 243 - 256
  • [7] Quasi-3D Refined Theory for Functionally Graded Porous Plates:Vibration Analysis
    Zenkour, A. M.
    Aljadani, M. H.
    PHYSICAL MESOMECHANICS, 2021, 24 (03) : 243 - 256
  • [8] A quasi-3D theory for vibration and buckling of functionally graded sandwich beams
    Vo, Thuc P.
    Thai, Huu-Tai
    Trung-Kien Nguyen
    Inam, Fawad
    Lee, Jaehong
    COMPOSITE STRUCTURES, 2015, 119 : 1 - 12
  • [9] Static and free vibration analysis of functionally graded plates based on a new quasi-3D and 2D shear deformation theories
    Akavci, S. S.
    Tanrikulu, A. H.
    COMPOSITES PART B-ENGINEERING, 2015, 83 : 203 - 215
  • [10] QUASI-3D ANALYTIC MODEL FOR FREE VIBRATION ANALYSIS OF SIMPLY SUPPORTED FUNCTIONALLY GRADED PLATES (SS-FGP)
    Refrafi, Salah
    Boutrid, Abdelaziz
    Bouhadra, Abdelhakim
    Menasria, Bderrahmane
    Mamen, Belgacem
    JOURNAL OF THEORETICAL AND APPLIED MECHANICS-BULGARIA, 2024, 54 (01): : 89 - 102