On the wave propagation characteristics of functionally graded porous shells using high-order shear deformation theory
Từ khóa
DOI:
https://doi.org/10.46223/HCMCOUJS.acs.en.14.1.40.2024Tóm tắt
This paper concentrates on the wave propagation characteristics of Functionally Graded (FG) porous shells. The transversal shear deformation of the shell is taken into consideration by employing a simple higher-ordered shear deformation shell theory. The equations of motion are derived for the proposed model based on Hamilton’s principle. An eigenvalue problem that relates the wave propagation elements is formulated and solved to present the various dispersion relations of FG cylindrical and spherical shells. The effects of porosities, shells’ geometrical parameters, FG material exponent, and wavenumbers on the principal wave propagation frequency and the associated phase velocity are investigated in detail. The research reveals that the phase velocities of waves traversing through shells are predominantly influenced by the porosity and the thickness and gradation of the constituent materials, whereas the geometric configuration of the shells, whether cylindrical or spherical, exerts a negligible impact.Lượt tải
Tài liệu tham khảo
Aron, H. (1874). Das Gleichgewicht und die Bewegung einer unendlich dünnen, beliebig gekrümmten elastischen Schale. Journal Für Die Reine und Angewandte Mathematik, 78, 136-174.
Bagheri, H., Kiani, Y., & Eslami, M. R. (2021). Free vibration of FGM conical-spherical shells. Thin-Walled Structures, 160, Article 107387. doi:10.1016/j.tws.2020.107387
Belabed, Z., Selim, M. M., Slimani, O., Taibi, N., Tounsi, A., & Hussain, M. (2021). An efficient higher order shear deformation theory for free vibration analysis of functionally graded shells. Steel and Composite Structures, 40(2), 307-321. doi:10.12989/scs.2021.40.2.307
Chang, X., & Zhou, J. (2022). Static and dynamic characteristics of post-buckling of porous functionally graded pipes under thermal shock. Composite Structures, 288, Article 115373. doi:10.1016/j.compstruct.2022.115373
Do, C. Q., Tran, Q. Q., Bui, P. G., Dang, H. V., & Nguyen, D. D. (2022). Buckling analysis and dynamic response of FGM sandwich cylindrical panels in thermal environments using nonlocal strain gradient theory. Acta Mech, 233, 2213-2235. doi:10.1007/s00707-022-03212-8
Foroutan, K., & Dai, L. (2022). Nonlinear dynamic responses of porous FG sandwich cylindrical shells with a viscoelastic core resting on a nonlinear viscoelastic foundation. Mechanics of Advanced Materials and Structures, 30(15), 1-20. doi:10.1080/15376494.2022.2070803
Fu, T., Wu, X., Xiao, Z., & Chen, Z. (2020). Thermoacoustic response of porous FGM cylindrical shell surround by elastic foundation subjected to nonlinear thermal loading. Thin-Walled Structures, 156, Article 106996. doi:10.1016/j.tws.2020.106996
Fu, T., Wu, X., Xiao, Z., & Chen, Z. (2021). Dynamic instability analysis of porous FGM conical shells subjected to parametric excitation in thermal environment within FSDT. Thin-Walled Structures, 158, Article 107202. doi:10.1016/j.tws.2020.107202
Hua, F., You, Q., Huang, Q., Fu, W., & Zhou, X. (2024). Exploring guided wave propagation in composite cylindrical shells with an embedded delamination through refined spectral element method. Thin-Walled Structures, 194, Article 111326. doi:10.1016/j.tws.2023.111326
Karakoti, A., Pandey, S., & Kar, V. R. (2022). Nonlinear transient analysis of porous P-FGM and S-FGM sandwich plates and shell panels under blast loading and thermal environment. Thin-Walled Structures, 173, Article 108985. doi:10.1016/j.tws.2022.108985
Le, H. K., Bui, P. G., Do, C. Q., & Dang, H. V. (2022a). 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. doi:10.4208/aamm.OA-2020-0202
Le, H. K., Pham, H. V., Bui, H. T. T., & Do, C. Q. (2022b). Nonlinear buckling and postbuckling of ES-FG porous cylindrical shells under external pressure. Modern Mechanics and Applications, 743-754. doi:10.1007/978-981-16-3239-6_57
Li, H., Pang, F., Du, Y., & Gao, C. (2019). Free vibration analysis of uniform and stepped functionally graded circular cylindrical shells. Steel and Composite Structures, 33(2), 163-180. doi:10.12989/scs.2019.33.2.163
Li, S. R., Fu, X.-H., & Batra, R. C. (2010). Free vibration of three-layer circular cylindrical shells with functionally graded middle layer. Mechanics Research Communications, 37(6), 577-580. doi:10.1016/j.mechrescom.2010.07.006
Liang, C., Yaw, Z., & Lim, C. W. (2023). Thermal strain energy induced wave propagation for imperfect FGM sandwich cylindrical shells. Composite Structures, 303, Article 116295. doi:10.1016/j.compstruct.2022.116295
Liu, T., Wang, A., Wang, Q., & Qin, B. (2020). Wave based method for free vibration characteristics of functionally graded cylindrical shells with arbitrary boundary conditions. Thin-Walled Structures, 148, Article 106580. doi:10.1016/j.tws.2019.106580
Liu, Y., & Qin, Z. (2021). Nonlinear forced vibrations of FGM sandwich cylindrical shells with porosities on an elastic substrate. Nonlinear Dyn, 104(2), 1007-1021. doi:10.1007/s11071-021-06358-7
Love, A. E. H. (1888). XVI. The small free vibrations and deformation of a thin elastic shell. Philosophical Transactions of the Royal Society of London, 179, 491-546. doi:10.1098/rsta.1888.0016
Mellouli, H., Jrad, H., Wali, M., & Dammak, F. (2019). Meshless implementation of arbitrary 3D-shell structures based on a modified first order shear deformation theory. Computers & Mathematics with Applications, 77(1), 34-49. doi:10.1016/j.camwa.2018.09.010
Mindlin, R. (1951). Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18, 31-38. doi:10.1115/1.4010217
Mirjavadi, S. S., Forsat, M., Barati, M. R., & Hamouda, A. M. S. (2022). Geometrically nonlinear vibration analysis of eccentrically stiffened porous functionally graded annular spherical shell segments. Mechanics Based Design of Structures and Machines, 50(6), 2206-2220. doi:10.1080/15397734.2020.1771729
Najafizadeh, M. M., & Isvandzibaei, M. R. (2007). Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support. Acta Mechanica, 191, 75-91. doi:10.1007/s00707-006-0438-0
Punera, D., Kant, T., & Desai, Y. M. (2018). Thermoelastic analysis of laminated and functionally graded sandwich cylindrical shells with two refined higher order models. Journal of Thermal Stresses, 41(1), 54-79. doi:10.1080/01495739.2017.1373379
Qu, Y., Long, X., Yuan, G., & Meng, G. (2013). A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions. Composites Part B: Engineering, 50, 381-402. doi:10.1016/j.compositesb.2013.02.028
Ramteke, P. M., & Panda, S. K. (2023). Nonlinear thermomechanical static and dynamic responses of bidirectional porous functionally graded shell panels and experimental verifications. Journal of Pressure Vessel Technology, 145(4), Article 41301. doi:10.1080/17455030.2022.2058710
Shahbaztabar, A., Izadi, A., Sadeghian, M., & Kazemi, M. (2019). Free vibration analysis of FGM circular cylindrical shells resting on the Pasternak foundation and partially in contact with stationary fluid. Applied Acoustics, 153, 87-101. doi:10.1016/j.apacoust.2019.04.012
Sobhy, M. (2016). An accurate shear deformation theory for vibration and buckling of FGM sandwich plates in hygrothermal environment. International Journal of Mechanical Sciences, 110, 62-77. doi:10.1016/j.ijmecsci.2016.03.003
Sofiyev, A. H. (2011). Thermal buckling of FGM shells resting on a two-parameter elastic foundation. Thin-Walled Structures, 49(10), 1304-1311. doi:10.1016/j.tws.2011.03.018
Su, Z., & Jin, G. (2016). Vibration analysis of coupled conical-cylindrical-spherical shells using a Fourier spectral element method. Journal of the Acoustical Society of America, 140(5), 3925-3940. doi:10.1121/1.4967853
Tahir, S. I., Tounsi, A., Chikh, A., Al-Osta, M. A., Al-Dulaijan, S. U., & Al-Zahrani, M. M. (2022). The effect of three-variable viscoelastic foundation on the wave propagation in functionally graded sandwich plates via a simple quasi-3D HSDT. Steel and Composite Structures, 42(4), 501-511. doi:10.12989/scs.2022.42.4.501
Talebi, S., Hedayati, R., Sadighi, M., & Ashoori, A. R. (2022). Dynamic thermal buckling of spherical porous shells. Thin-Walled Structures, 172, Article 108737. doi:10.1016/j.tws.2021.108737
Timesli, A. (2021). Analytical modeling of buckling behavior of porous FGM cylindrical shell embedded within an elastic foundation. Gazi University Journal of Science, 35(1), 148-165. doi:10.35378/gujs.860783
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 in Applied Mechanics and Engineering, 198(37/40), 2911-2935. doi:10.1016/j.cma.2009.04.011
Tornabene, F., Fantuzzi, N., & Bacciocch, M. (2014). Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories. Composites Part B: Engineering, 67, 490-509. doi:10.1016/j.compositesb.2014.08.012
Trabelsi, S., Zghal, S., & Dammak, F. (2020). Thermo-elastic buckling and post-buckling analysis of functionally graded thin plate and shell structures. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(5), 1-22. doi:10.1007/s40430-020-02314-5
Vu, L. T., & Hoang, T. V. (2022a). Buckling behavior of thick porous functionally graded material toroidal shell segments under external pressure and elevated temperature including tangential edge restraint. Journal of Pressure Vessel Technology, 144(5), Article 51310. doi:10.1115/1.4053485
Vu, L. T., & Hoang, T. V. (2022b). Thermo-torsional buckling and postbuckling of thin FGM cylindrical shells with porosities and tangentially restrained edges. Mechanics Based Design of Structures and Machines, 51(12), 1-20. doi:10.1080/15397734.2022.2084752
Wang, X., Lu, G., & Xiao, D. G. (2002). Nonlinear thermal buckling for local delamination near the surface of laminated cylindrical shell. International Journal of Mechanical Sciences, 44(5), 947-965. doi:10.1016/S0020-7403(02)00028-0
Wu, S., Qu, Y., & Hua, H. (2013). Vibrations characteristics of joined cylindrical-spherical shell with elastic-support boundary conditions. Journal of Mechanical Science and Technology, 27(5), 1265-1272. doi:10.1007/s12206-013-0207-7
Xue, Y., Jin, G., Zhang, C., Han, X., & Chen, J. (2023). Free vibration analysis of functionally graded porous cylindrical panels and shells with porosity distributions along the thickness and length directions. Thin-Walled Structures, 184. doi:10.1016/j.tws.2022.110448
Zghal, S., Frikha, A., & Dammak, F. (2017). Static analysis of functionally graded carbon nanotube-reinforced plate and shell structures. Composite Structures, 176, 1107-1123. doi:10.1016/j.compstruct.2017.06.015
Zhang, S., Wang, M., Chen, C., Shahsavari, D., Karami, B., & Tounsi, A. (2022). Wave propagation in carbon nanotube-reinforced nanocomposite doubly-curved shells resting on a viscoelastic foundation. Waves in Random and Complex Media, 1-24. doi:10.1080/17455030.2022.2058710
