ARTICLE
Buckling and vibration of porous sigmoid functionally graded conical shells
1
School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin, China
Submission date: 2023-02-19
Final revision date: 2023-05-26
Acceptance date: 2023-05-31
Online publication date: 2023-06-27
Publication date: 2023-07-31
Corresponding author
Bin Ma
School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, 541004, Guilin, China
School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, 541004, Guilin, China
Journal of Theoretical and Applied Mechanics 2023;61(3):559-571
KEYWORDS
TOPICS
ABSTRACT
In this study, the buckling and vibration of a sigmoid functionally graded material (S-FGM)
shells are investigated. Two types of porosity distributions, even and uneven, are taken into
account. The material properties are estimated by a new modified rule of mixture. In the
framework of the classic thin shell theory, the governing equations are derived and Galerkin’s
integrate technique is employed to compute the critical load and natural frequency of porous
S-FGM shells. The influence of pores, ceramic mass fraction and materials power index are
discussed in detail.
REFERENCES (31)
1.
Alizada A.N., Sofiyev A.H., 2011, Modified Young’s moduli of nano-materials taking into account the scale effects and vacancies, Meccanica, 46, 915-920.
2.
Chi S.H., Chung Y.L., 2002, Cracking in sigmoid functionally graded coating, Journal of Mechanics, 18, 41–53.
3.
Cuong-Le T., Nguyen K.N., Nguyen-Trong N., Khatir S., Nguyen-Xuan H., Abdel-Wahab M., 2021, A three-dimensional solution for free vibration and buckling of annular plate, conical, cylinder and cylindrical shell of FG porous-cellular materials using IGA, Composite Structures, 259, 113216.
4.
Deniz A., Zerin Z., Karaca Z., 2016, Winkler-Pasternak foundation effect on the frequency parameter of FGM truncated conical shells in the framework of shear deformation theory, Composites: Part B, 104, 57-70.
5.
Dey S., Sarkar S., Das A., Karmakar A., Adhikari S., 2015, Effect of twist and rotation on vibration of functionally graded conical shells, International of Journal of Mechanics and Material Design, 11, 425-437.
6.
Duc N.D., Kim S.E., Chan D.Q., 2018, Thermal buckling analysis of FGM sandwich truncated conical shells reinforced by FGM stiffeners resting on elastic foundations using FSDT, Journal of Thermal Stresses, 41, 3, 331-365.
7.
Dung D.V., Chan D.Q., 2017, Analytical investigation on mechanical buckling of FGM truncated conical shells reinforced by orthogonal stiffeners based on FSDT, Composite Structures, 159, 827-841.
8.
Dung D.V., Nga N.T., Vuong P.M., 2019, Nonlinear stability analysis of stiffened functionally graded material sandwich cylindrical shells with general Sigmoid law and power law in thermal environment using third-order shear deformation theory, Journal of Sandwich Structures and Materials, 21, 3, 938-972.
9.
Heydarpour Y., Malekzadeh P., Aghdam M.M., 2014, Free vibration of functionally graded truncated conical shells under internal pressure, Meccanica, 49, 267-282.
10.
Hoa L.K., Phi B.G., Chan D., Dang V.D., 2020, Buckling analysis of FG porous truncated conical shells resting on elastic foundations in the framework of the shear deformation theory, Advances in Applied Mathematics and Mechanics, 14, 1, 218-247.
11.
Malekzadeh P., Heydarpour Y., 2013, Free vibration analysis of rotating functionally graded truncated conical shells, Composite Structures, 97, 176-188.
12.
Naj R., Boroujerdy M.S., Eslami M.R., 2008, Thermal and mechanical instability of functionally graded truncated conical shells, Thin-Walled Structures, 46, 65-78.
13.
Nemati A.R., Mahmoodabadi M.J., 2020, Effect of micromechanical models on stability of functionally graded conical panels resting on Winkler-Pasternak foundation in various thermal environments, Archives of Applied Mechanics, 90, 5, 883-915.
14.
Qu Y.G., Long X.H., Yuan G.Q., Meng G., 2013, A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions, Composites: Part B, 50, 381-402.
15.
Sofiyev A.H., 2007, Vibration and stability of composite cylindrical shells containing a FG layer subjected to various loads, Structural Engineering and Mechanics, 27, 365-391.
16.
Sofiyev A.H., 2009, The vibration and stability behavior of freely supported FGM conical shells subjected to external pressure, Composite Structures, 89, 356-366.
17.
Sofiyev A.H., 2019, Review of research on the vibration and buckling of the FGM conical shells, Composite Structures, 211, 301-317.
18.
Sofiyev A.H., Aksogan O., Schnack E., Avcar M., 2008a, The stability of a three-layered composite conical shell containing a FGM layer subjected to external pressure, Mechanics of Advanced Materials and Structures, 15, 461-466.
19.
Sofiyev A.H., Korkmaz K.A., Mammadov Z., Karmanli M., 2009a, The vibration and buckling of freely supported non-homogeneous orthotropic conical shells subjected to different uniform pressures, International Journal of Pressure Vessels and Piping, 86, 661-668.
20.
Sofiyev A.H., Kuruoglu N., 2014, Buckling and vibration of shear deformable functionally graded orthotropic cylindrical shells under external pressures, Thin-Walled Structures, 78, 121-130.
21.
Sofiyev A.H., Kuruoglu N., Turkmen M., 2009b, Buckling of FGM hybrid truncated conical shells subjected to hydrostatic pressure, Thin-Walled Structures, 47, 61-72.
22.
Sofiyev A.H., Schnack E., 2012, The vibration analysis of FGM truncated conical shells resting on two-parameter elastic foundations, Mechanics of Advanced Materials and Structures, 19, 241-249.
23.
Sofiyev A.H., Zerin Z., Korkmaz A., 2008b, The stability of a thin three-layered composite truncated conical shell containing a FGM layer subjected to non-uniform lateral pressure, Composite Structures, 85, 105-115.
24.
Su Z., Jin G.Y., Shi S.G., Ye T.G., Jia X.T., 2014, A unified solution for vibration analysis of functionally graded cylindrical, conical shells and annular plates with general boundary conditions, International Journal of Mechanical Sciences, 80, 62-80.
25.
Torabi J., Ansari R., 2018, A higher-order isoparametric superelement for free vibration analysis of functionally graded shells of revolution, Thin-Walled Structures, 133, 169-179.
26.
Tornabene F., 2009, Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution, Computer Methods of Applied Mechanics and Engineering, 198, 2911-2935.
27.
Wu H., Yang J., Kitipornchai S., 2020, Mechanical analysis of functionally graded porous structures: a review, International Journal of Structural Stability and Dynamics, 20, 2041015.
28.
Yan K., Zhang Y., Cai H., Tahouneh V., 2020, Vibrational characteristic of FG porous conical shells using Donnell’s shell theory, Steel and Composite Structures, 35, 2, 249-260.
29.
Zarei M., Rahimi G.H., Hemmatnezhad M., 2020, Free vibrational characteristics of grid-stiffened truncated composite conical shells, Aerospace Science and Technology, 99, 105717.
30.
Zhang J.H., Li S.R., 2010, Dynamic buckling of FGM truncated conical shells subjected to non-uniform normal impact load, Composite Structures, 92, 2979-2983.
31.
Zhao X., Liew K.M., 2011, Free vibration analysis of functionally graded conical shell panels by a meshless method, Composite Structures, 93, 649-664.
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| eISSN: | 2543-6309 |
| ISSN: | 1429-2955 |
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