A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA

被引：132
作者：
Cuong-Le, Thanh [1 ]
Nguyen, Khuong D. [4 ]
Nguyen-Trong, N. [1 ]
Khatir, Samir [1 ,4 ]
Nguyen-Xuan, H. [2 ,3 ]
Abdel-Wahab, M. [2 ,4 ]
机构：
[1] Ho Chi Minh City Open Univ, Fac Civil Engn, Ho Chi Minh City, Vietnam
[2] Ho Chi Minh City Univ Technol HUTECH, CIRTECH Inst, Ho Chi Minh City, Vietnam
[3] Sejong Univ, Dept Architectural Engn, 209 Neungdong Ro, Seoul 05006, South Korea
[4] Univ Ghent, Soete Lab, Dept Elect Energy Met Mech Construct & Syst, Fac Engn & Architecture, Ghent, Belgium
来源：
COMPOSITE STRUCTURES | 2021年 / 259卷
关键词：
Porous sandstone; IGA; NURBS; Porous shell; Free vibration; Buckling; CIRCULAR PLATES; HOLLOW;
D O I：
10.1016/j.compstruct.2020.113216
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This study aims to present a three-dimensional (3D) numerical solution for investigating the free vibration and buckling responses of annular plate, conical and cylindrical shell made of functionally graded (FG) porous rock materials. Isogeometric analysis (IGA) is utilized in order to develop the 3D numerical solution. Furthermore, the computational package is developed using C# Programming, which is an object-oriented programming language. The distribution of porosity along the thickness direction obeys the cosine function rule, for which the top surface is porosity-free, and the bottom surface is porosity-rich. The weak form for free vibration and buckling analyses are discretized and approximated through 3D NURBS based IGA. The accuracy of the present solutions is verified by the results obtained from published data. The convergence of 3D FGP solutions is checked, and it is found that a quartic NURBS element can yield high-accuracy results with the lowest computational cost. Afterward, the numerical results showed the impact of porosity of the FGP annular plate, FGP conical, and cylindrical shell on free vibration and buckling problems.
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页数：16
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共 49 条
  • [1] Asymptotic analysis of three-dimensional problem of elasticity theory for radially inhomogeneous transversally-isotropic thin hollow spheres
    Akhmedov, N. K.
    Sofiyev, A. H.
    [J]. THIN-WALLED STRUCTURES, 2019, 139 : 232 - 241
  • [2] Modified Young's moduli of nano-materials taking into account the scale effects and vacancies
    Alizada, A. N.
    Sofiyev, A. H.
    [J]. MECCANICA, 2011, 46 (05) : 915 - 920
  • [3] Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method
    Arshid, Ehsan
    Khorshidvand, Ahmad Reza
    [J]. THIN-WALLED STRUCTURES, 2018, 125 : 220 - 233
  • [4] Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method
    Chen, D.
    Yang, J.
    Kitipornchai, S.
    [J]. ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING, 2019, 19 (01) : 157 - 170
  • [5] A geometrically nonlinear size-dependent hypothesis for porous functionally graded micro-plate
    Cuong Le Thanh
    Trong Nghia Nguyen
    Truong Huu Vu
    Khatir, Samir
    Wahab, Magd Abdel
    [J]. ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 1) : 449 - 460
  • [6] A refined size-dependent couple stress theory for laminated composite micro-plates using isogeometric analysis
    Cuong-Le Thanh
    Ferreira, A. J. M.
    Wahab, Magd Abdel
    [J]. THIN-WALLED STRUCTURES, 2019, 145
  • [7] Isogeometric analysis for size-dependent nonlinear thermal stability of porous FG microplates
    Cuong-Le Thanh
    Tran, Loc, V
    Tinh Quoc Bui
    Nguyen, Hoang X.
    Abdel-Wahab, M.
    [J]. COMPOSITE STRUCTURES, 2019, 221
  • [8] Size-dependent nonlinear analysis and damping responses of FG-CNTRC micro-plates
    Cuong-Le Thanh
    Tran, Loc, V
    Vu-Huu, T.
    Nguyen-Xuan, H.
    Abdel-Wahab, M.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 353 : 253 - 276
  • [9] The size-dependent thermal bending and buckling analyses of composite laminate microplate based on new modified couple stress theory and isogeometric analysis
    Cuong-Le Thanh
    Tran, Loc, V
    Vu-Huu, T.
    Abdel-Wahab, M.
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 350 : 337 - 361
  • [10] Bending vibrations of a rectangular poroelastic plate
    Etchessahar, M
    Sahraoui, S
    Brouard, B
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE, 2001, 329 (08): : 615 - 620
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