Vibration analysis of porous orthotropic cylindrical panels resting on elastic foundations based on shear deformation theory

Yıl 2023, , 125 - 143, 10.11.2023

Ferruh Turan

https://doi.org/10.24107/ijeas.1342775

Cited By: 1

Öz

Cylindrical panels are one of the most essential structural members of engineering structures, with mechanical, civil, aeronautical, and marine engineering applications. They are subjected to a wide range of vibrational loads. This article presents a novel higher-order porosity distribution and a free vibration analysis for porous orthotropic cylindrical panels resting on elastic foundations under higher-order shear deformation theory. It is assumed that cylindrical panels are composed of porous materials with uniformly and non-uniformly distributed pores. The porous panels' material properties are distributed in the thickness direction using specific functions. The equations of motion are derived using Hamilton's principle based on trigonometrical shear deformation theory and solved by performing the Galerkin solution procedure with simply supported edge conditions. The accuracy of the obtained natural frequency equation is confirmed by comparing the results to those of previously published in literature. Under comprehensive parametric studies, the influence of porosity coefficient, porosity distribution patterns, radius-to-curve length ratio, orthotropy, and stiffness of elastic foundation parameters on the free vibration response of porous orthotropic cylindrical panels are discussed in detail.

Anahtar Kelimeler

Porous panel, vibration, shear deformation, elastic foundation, porosity

Kaynakça

• Pasternak, P.L., On a new method of analysis of an elastic foundation by means of two foundation constants, Gosstroyizdat, Moscow, 1954.
• Zamani, H.A., Aghdam, M.M., Sadighi, M., Free vibration analysis of thick viscoelastic composite plates on visco-Pasternak foundation using higher-order theory. Composite Structures, 182, 25-35, 2017.
• Duc, N.D., Quang, V.D., Anh, V.T.T., The nonlinear dynamic and vibration of the S-FGM shallow spherical shells resting on an elastic foundations including temperature effects. International Journal of Mechanical Sciences, 123, 54-63, 2017.
• Zenkour, A.M., Radwan, A.F., Free vibration analysis of multilayered composite and soft core sandwich plates resting on Winkler–Pasternak foundations. Journal of Sandwich Structures & Materials, 20, 169-190, 2016.
• Quan, T.Q., Duc, N.D., Nonlinear vibration and dynamic response of shear deformable imperfect functionally graded double-curved shallow shells resting on elastic foundations in thermal environments. Journal of Thermal Stresses, 39, 437-459, 2016.
• Park, K.J., Kim, Y.W., Vibration characteristics of fluid-conveying FGM cylindrical shells resting on Pasternak elastic foundation with an oblique edge. Thin-Walled Structures, 106, 407-419, 2016.
• Ninh, D.G., Bich, D.H., Nonlinear thermal vibration of eccentrically stiffened Ceramic-FGM-Metal layer toroidal shell segments surrounded by elastic foundation. Thin-Walled Structures, 104, 198-210, 2016.
• Jung, W.Y., Han, S.C., Park, W.T., Four-variable refined plate theory for forced-vibration analysis of sigmoid functionally graded plates on elastic foundation. International Journal of Mechanical Sciences, 111, 73-87, 2016.
• Kim, Y.W., Free vibration analysis of FGM cylindrical shell partially resting on Pasternak elastic foundation with an oblique edge. Composites Part B: Engineering, 70, 263-276, 2015.
• Asanjarani, A., Satouri, S., Alizadeh, A., Kargarnovin, M.H., Free vibration analysis of 2D-FGM truncated conical shell resting on Winkler–Pasternak foundations based on FSDT. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 229, 818-839, 2015.
• Ahmed, M.K., Effects of non-uniform Winkler foundation and non-homogeneity on the free vibration of an orthotropic elliptical cylindrical shell. European Journal of Mechanics-A/Solids, 49, 570-581, 2015.
• Bich, D.H., Duc, N.D., Quan, T.Q., Nonlinear vibration of imperfect eccentrically stiffened functionally graded double curved shallow shells resting on elastic foundation using the first order shear deformation theory. International Journal of Mechanical Sciences, 80, 16-28, 2014.
• Thai, H.-T., Park, M., Choi, D.-H., A simple refined theory for bending, buckling, and vibration of thick plates resting on elastic foundation. International Journal of Mechanical Sciences, 73, 40-52, 2013.
• Sobhy, M., Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions. Composite Structures, 99, 76-87, 2013.
• Kamranfard, M., Saidi, A., Naderi, A., Analytical solution for vibration and buckling of annular sectorial porous plates under in-plane uniform compressive loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 232, 2211-2228, 2018.
• Turan, F., Natural frequencies of porous orthotropic two-layered plates within the shear deformation theory. CHALLENGE, 9, 1-11, 2023.
• Wang, Y.Q., Electro-mechanical vibration analysis of functionally graded piezoelectric porous plates in the translation state. Acta Astronautica, 143, 263-271, 2018.
• Rezaei, A., Saidi, A., An analytical study on the free vibration of moderately thick fluid-infiltrated porous annular sector plates. Journal of Vibration and Control, 24, 4130-4144, 2018.
• Barati, M.R., Zenkour, A.M., Electro-thermoelastic vibration of plates made of porous functionally graded piezoelectric materials under various boundary conditions. Journal of Vibration and Control, 24, 1910-1926, 2018.
• Barati, M.R., Vibration analysis of porous FG nanoshells with even and uneven porosity distributions using nonlocal strain gradient elasticity. Acta Mechanica, 229, 1183-1196, 2018.
• Wang, Y., Wu, D., Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory. Aerospace Science and Technology, 66, 83-91, 2017.
• Shojaeefard, M.H., Googarchin, H.S., Ghadiri, M., Mahinzare, M., Micro temperature-dependent FG porous plate: Free vibration and thermal buckling analysis using modified couple stress theory with CPT and FSDT. Applied Mathematical Modelling, 50, 633-655, 2017.
• Akbaş, Ş.D., Vibration and static analysis of functionally graded porous plates. Journal of Applied and Computational Mechanics, 3, 199-207, 2017.
• Rezaei, A., Saidi, A., Exact solution for free vibration of thick rectangular plates made of porous materials. Composite Structures, 134, 1051-1060, 2015.
• Demir, Y., Turan, F., Stability of Porous Orthotropic Cylindrical Panel Resting On Winkler Foundation via Hyperbolical Shear Deformation Theory, in: 10. International Congress of Academic Research, Bolu, 2023, pp. 124-133.
• Kumar, V., Singh, S., Saran, V.H., Harsha, S.P., Vibration characteristics of porous FGM plate with variable thickness resting on Pasternak's foundation. European Journal of Mechanics-A/Solids, 85, 104124, 2021.
• Tran, T.T., Tran, V.K., Pham, Q.-H., Zenkour, A.M., Extended four-unknown higher-order shear deformation nonlocal theory for bending, buckling and free vibration of functionally graded porous nanoshell resting on elastic foundation. Composite Structures, 264, 113737, 2021.
• Balak, M., Jafari Mehrabadi, S., Mohseni Monfared, H., Feizabadi, H., Free vibration behavior of an elliptical sandwich microplate, consisting of a saturated porous core and two piezoelectric face layers, standing on an elastic foundation. Acta Mechanica, 233, 3253-3290, 2022.
• Pham, Q.-H., Tran, T.T., Tran, V.K., Nguyen, P.-C., Nguyen-Thoi, T., Zenkour, A.M., Bending and hygro-thermo-mechanical vibration analysis of a functionally graded porous sandwich nanoshell resting on elastic foundation. Mechanics of Advanced Materials and Structures, 29, 5885-5905, 2022.
• Shahverdi, H., Barati, M.R., Vibration analysis of porous functionally graded nanoplates. International Journal of Engineering Science, 120, 82-99, 2017.
• Chen, Z., Qin, B., Zhong, R., Wang, Q., Free in-plane vibration analysis of elastically restrained functionally graded porous plates with porosity distributions in the thickness and in-plane directions. The European Physical Journal Plus, 137, 1-21, 2022.
• Ebrahimi, F., Dabbagh, A., Taheri, M., Vibration analysis of porous metal foam plates rested on viscoelastic substrate. Engineering with Computers, 37, 3727-3739, 2021.
• Akhavan, H., Hashemi, S.H., Taher, H.R.D., Alibeigloo, A., Vahabi, S., Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part II: Frequency analysis. Computational Materials Science, 44, 951-961, 2009.
• Talebizadehsardari, P., Salehipour, H., Shahgholian-Ghahfarokhi, D., Shahsavar, A., Karimi, M., Free vibration analysis of the macro-micro-nano plates and shells made of a material with functionally graded porosity: A closed-form solution. Mechanics Based Design of Structures and Machines, 50, 1054-1080, 2022.