آمار
| تعداد نشریات | 31 |
| تعداد شمارهها | 1,030 |
| تعداد مقالات | 9,097 |
| تعداد مشاهده مقاله | 10,334,958 |
| تعداد دریافت فایل اصل مقاله | 8,569,224 |
Analysis of Free Vibration of Porous Power-law and Sigmoid Functionally Graded Sandwich Plates by the R-functions Method | ||
| Journal of Applied and Computational Mechanics | ||
| دوره 9، شماره 4، دی 2023، صفحه 1144-1155 اصل مقاله (846.01 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2023.43435.4082 | ||
| نویسندگان | ||
| Lidiya Kurpa1؛ Tetyana Shmatko2؛ Jan Awrejcewicz3؛ Galina Timchenko* 1؛ Iryna Morachkovska1 | ||
| 1Department of Applied Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine | ||
| 2Department of Higher Mathematics, National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine | ||
| 3Department of Automation, Biomechanical and Mechatronics, Lodz University of Technology, Lodz, Poland | ||
| چکیده | ||
| Investigation of free vibration of porous power and sigmoid-law sandwich functionally graded (FG) plates with different boundary conditions is presented in this paper. The FG sandwich plate includes three layers. The face layers are fabricated of functionally graded material (FGM) and middle layer (core) is isotropic (ceramic). Imperfect sigmoid FG sandwich plates with even and linear-uneven porosities and nonporous core layer are studied. Developed approach has been realized in the framework of a refined theory of the first-order shear deformation theory (FSDT) using variational methods and the R-functions theory. The analytical expressions are obtained for calculating the elastic characteristics with the assumption that the values of Poisson's ratio are the same for constituent FGM materials. For rectangular plates, the obtained results are compared with known results and a good agreement is obtained. Vibration analysis of a complex-shaped porous sandwich plate made of FGM has been performed. The effect of various parameters on the dynamic behavior of the plate, such as the type and values of porosity coefficients, power index, lay-up scheme, types of FGM, has been studied. | ||
| کلیدواژهها | ||
| Power-law؛ sigmoid-law؛ porosity؛ free vibration؛ functionally graded sandwich plates؛ the R-functions theory؛ variational Ritz method | ||
| مراجع | ||
|
[1] Thai, H.-T., Kim, S.-E., A review of theories for the modeling and analysis of functionally graded plates and shells, Composite Structures, 128, 2015, 70-86.
[2] Swaminathan, K., Naveenkumar, D.T., Zenkour, A.M, Carrera, E., Stress, vibration and buckling analyses of FGV plates–A state-of-art review, Composite Structures, 120, 2015, 10-31.
[3] Kumar, Y., The Rayleigh-Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review, Journal of Vibration and Control, 24(7), 2017, 1-23.
[4] Sofiyev, A.H., Review of research on the vibration and buckling of the FGM conical shells, Composite Structure, 211, 2019, 301-317.
[5] Malekzadeh, P., Shojaee, M., A unified formulation for free vibration of functionally graded plates, Journal Science and Engineering of Composite Materials, 25(1), 2018, 109-122.
[6] Zenkour, A.M., A comprehensive analysis of functionally graded sandwich plates: Part 2-Buckling and free vibration, International Journal of Solids and Structures, 42, 2005, 5243-5258.
[7] Zenkour, A.M., The refined sinusoidal theory for FGM plates on elastic foundations, International Journal of Mechanical Sciences, 51, 2009, 869-880.
[8] Neves, A.M.A., Ferreira, A.J.M., Carrera, E., Roque, C.M.C., Cinefra, M., Jorge, R.M.N., A quasi-3D sinusoidal shear deformation theory for the static and free vibration analysis of functionally graded plates, Composites Part B: Engineering, 2012, 43, 711-725.
[9] Meiche, N.E., Tounsi, A., Ziane, N., Mechab, I., Bedia, E.A.A., A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate, International Journal of Mechanical Sciences, 53(4), 2011, 237-247.
[10] Bessaim, A., Houari, M.S., Tounsi, A., Mahmoud, S.R., Bedia, E.A.A., A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets, Journal of Sandwich Structures and Materials, 15(6), 2013, 671-703.
[11] Meksi, R., Benyoucef, S., Mahmoudi, A., Tounsi, A., Adda Bedia, E.A., Mahmoud, S.R., An analytical solution for bending, buckling and vibration responses of FGM sandwich plates, Journal of Sandwich Structures and Materials, 21(2), 2020, 727-757.
[12] Ton-That, H., A new C0 third-order shear deformation theory for the nonlinear free vibration analysis of stiffened functionally graded plates, Facta Universitatis-Series Mechanical Engineering, 19(2), 2021, 285-305.
[13] Nam, P.V., Kien, N.D., Free vibration of FG sandwich plates partially supported by elastic foundation using a quasi-3D finite element formulation, Vietnam Journal of Mechanics, 42(1), 2020, 63-86.
[14] Nguyen, T.-K., Vo, T.-P., Thai, H.-T., Vibration and buckling analysis of functionally graded sandwich plates with improved transverse shear stiffness based on the first-order shear deformation theory, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228(12), 2014, 2110–2131.
[15] Thai, H.T., Nguyen, T.K., Vo, T.P., Lee, J., Analysis of functionally graded sandwich plates using a new first-order shear deformation theory, European Journal of Mechanics – A/Solids, 45, 2014, 211–225.
[16] Thai, H.T., Choi, D.H., A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates, Composite Structures, 101, 2013, 332–340.
[17] Amabili, M., Nonlinear vibrations and stability of laminated shells using a modified first –order shear deformation theory, European Journal of Mechanics – A/Solids, 68, 2018, 75-87.
[18] Tan-Van, V., Ngoc-Hung, N., Khosravifard, A., Hematiyan, M.R., Tanaka, S., Bui, T.Q., A simple FSDT-based meshfree method for analysis of functionally graded plates, Engineering Analysis with Boundary Elements, 79, 2017, 1-12.
[19] Vinh, P.V., Huy, L.Q., Finite element analysis of functionally graded sandwich plates with porosity via new hyperbolic shear deformation theory, Defence Technology, 18, 2022, 490-508.
[20] Shahsavari, D., Shahsavari, M., Li, L., Karami, B., A novel quasi-3D hyperbolic theory for free vibration of FG plates with porosities resting on Winkler/Pasternak/Kerr foundation, Aerospace Science and Technology, 72, 2018, 134-149.
[21] Zenkor, AM., A quasi-3D refined theory for functionally graded single-layered and sandwich plates with porosities, Composite Structures, 201, 2018, 38-48.
[22] Daikh. A.A., Zenkour A.M., Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory, Materials Research Express, 6, 2019, 115707.
[23] Xiang, S., Kang, G-W., Yang, M-S., Zhao, Y., Natural frequencies of sandwich plate with functionally graded face and homogeneous core, Composite Structures, 96, 2013, 226-231.
[24] Gupta, A., Talha, M., Influence of porosity on the flexural and free vibration responses of functionally graded plates in thermal environment, International Journal of Structural Stability and Dynamics, 18(1), 2018, 1850013.
[25] Akbas, S.D., Vibration and static analysis of functionally graded porous plates, Journal of Applied and Computational Mechanics, 3(3), 2017, 199-207.
[26] Wu, D., Liu, A., Huang, Y., Huang, Y., Pi, Y., Gao, W., Dynamic analysis of functionally graded porous structures through finite element analysis, Engineering Structures, 165, 2018, 287-301.
[27] Chen, D., Yang, J., Kitipornchai, S., Buckling and bending analyses of a novel functionally graded porous plate using Chebyshev-Ritz method, Archives of Civil and Mechanical Engineering, 19(1), 2019, 157-170.
[28] Rahmani, M., Mohammadi, Y., Kakavand, F., Vibration analysis of different types of porous FG circular sandwich plates, International Journal of Advanced Design and Manufacturing Technology, 12(3), 2019, 63-75.
[29] Zhang, Y., Jin, G., Chen, M., Ye, T., Yang, C., Yin, Y., Free vibration and damping analysis of porous functionally graded sandwich plates with a viscoelastic core, Composite Structures, 244, 2020, 112298.
[30] Hadji, L., Avcar, M., Free Vibration Analysis of FG Porous Sandwich Plates under Various Boundary Conditions, Journal of Applied and Computational Mechanics, 7(2), 2021, 505-519.
[31] Hadji, L., Avcar, M., Natural frequency analysis of imperfect FG sandwich plates resting on Winkler-Pasternak foundation, Materials Today: Proceedings, 53(1), 2022, 153–160.
[32] Sobhani, E., Avcar, M., Natural frequency analysis of imperfect GNPRN conical shell, cylindrical shell, and annular plate structures resting on Winkler-Pasternak Foundations under arbitrary boundary conditions, Engineering Analysis with Boundary Elements, 144, 2022, 145-164.
[33] Rvachev, V.L., The R-functions theory and its applications, Nauk. Dumka, Kiev, 1982 (in Russian).
[34] Kurpa, L.V., The R-functions method for solving linear bending and vibration problems of the shallow shells, NTU ”KhPI”, Kharkov, 2009 (in Russian).
[35] Awrejcewicz, J., Kurpa, L., Shmatko, T., Analysis of geometrically nonlinear vibrations of functionally graded shallow shells of a complex shape, Latin American Journal of Solids and Structures, 14, 2017, 1648-1668.
[36] Kurpa, L.V., Shmatko, T.V., Awrejcewicz, J., Linear and nonlinear free vibration analysis of laminated functionally graded shallow shells with complex plan form and different boundary conditions, International Journal of Non-Linear Mechanics, 107, 2018, 161-169.
[37] Kurpa, L.V., Shmatko, T.V., Investigation of free vibrations and stability of functionally graded three-layer plates by using the R-functions theory and variational methods, Journal of Mathematical Sciences, 249(3), 2020, 496–520.
[38] Awrejcewicz, J., Kurpa, L., Shmatko, T., Application of the R-functions in free vibration analysis of FGM plates and shallow shells with temperature dependent properties, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 101(3), 2021, e202000080.
[39] Kurpa, L., Shmatko, T., Parametric vibrations of axially compressed functionally graded sandwich plates with a complex plan form, In: Mechanics and Physics of Structured Media, Academic Press, 2022.
[40] Shmatko, T., Kurpa, L., Awrejcewicz, J., Dynamic analysis of functionally graded sandwich shells resting on elastic foundations, Acta Mechanica, 233, 2022, 1895-1910.
[41] Kurpa, L., Shmatko, T., Awrejcewicz, J., Nonlinear Vibration of Functionally Graded Shallow Shells Resting on Elastic Foundations, In: Lacarbonara, W., Balachandran, B., Leamy, M.J., Ma, J., Tenreiro Machado, J.A., Stepan, G. (eds) Advances in Nonlinear Dynamics, NODYCON Conference Proceedings Series, Springer, 2022.
[42] Kurpa, L., Shmatko, T., Timchenko, G., Nonlinear Dynamic Analysis of FGM Sandwich Shallow Shells with Variable Thickness of Layers, Nonlinear Mechanics of Complex Structures: From Theory to Engineering Applications, 2021.
[43] Shen, H.S., Functionally Graded Materials of Plates and Shells, CRC Press, Florida, 2009. | ||
|
آمار تعداد مشاهده مقاله: 395 تعداد دریافت فایل اصل مقاله: 491 |
||