Dynamic instability of a double curved shallow sandwich electromagnetic shell with a three-phase nanocomposite core
Author affiliations
DOI:
https://doi.org/10.15625/0866-7136/23920Keywords:
double curved shallow sandwich electromagnetic shell, nonlinear dynamic stability, three-phase nanocomposite, dynamic instability regionAbstract
This study examines the dynamic instability region (DIR) of a double-curved shallow sandwich electromagnetic (DSEM) shell containing a three-phase nanocomposite core and supported by an elastic foundation. The governing equations for nonlinear dynamic stability are formulated using first-order shear deformation theory (FSDT) combined with von Kármán geometric nonlinearity. The Galerkin method is applied to derive the nonlinear ordinary differential equations, and Bolotin’s method is used to identify the DIR of the shell structure. Parametric analyses are conducted to evaluate the influences of electromagnetic fields, shell geometry, and core material properties on the nonlinear DIR.Downloads
References
Anh, V. T. T., Khoa, N. D., Ngo, T., & Duc, N. D. (2023). Vibration of hybrid eccentrically stiffened sandwich auxetic double curved shallow shells in thermal environment. Aerospace Science and Technology, 137, 108277. https://doi.org/10.1016/j.ast.2023.108277
Bolotin, V. V. (1964). The dynamic stability of elastic systems. Holden-Day, Inc.
Chakraborty, S., Dey, T., & Kumar, R. (2021). Instability characteristics of damped CNT reinforced laminated shell panels subjected to in-plane excitations and thermal loading. Structures, 34, 2936–2949. https://doi.org/10.1016/j.istruc.2021.09.047
Cong, P. H., Huong, N. V., Thien, T. T., & Duc, N. D. (2024). Nonlocal strain gradient-based geometrically nonlinear vibration analysis of double curved shallow nanoshell containing functionally graded layers. Aerospace Science and Technology, 151, 109310. https://doi.org/10.1016/j.ast.2024.109310
Dawe, D. J., & Roufaeil, O. L. (1980). Rayleigh--Ritz vibration analysis of Mindlin plates. Journal of Sound and Vibration, 69(3), 345–359. https://doi.org/10.1016/0022-460x(80)90477-0
Feng, J., Wu, Y., Xue, J., & Lin, J. (2024). Dynamic stability analysis of laminated cylindrical shells considering fluid–structure interaction. Composite Structures, 340, 118183. https://doi.org/10.1016/j.compstruct.2024.118183
Hung, P. T., Thai, C. H., & Phung-Van, P. (2023). A C0-HSDT free vibration of magneto-electro-elastic functionally graded porous plates using a moving Kriging meshfree method. Aerospace Science and Technology, 137, 108266. https://doi.org/10.1016/j.ast.2023.108266
Jahangiri, R., Rezaee, M., & Manafi, H. (2022). Nonlinear and chaotic vibrations of FG double curved sandwich shallow shells resting on visco-elastic nonlinear Hetenyi foundation under combined resonances. Composite Structures, 295, 115721. https://doi.org/10.1016/j.compstruct.2022.115721
Mirfatah, S. M., Tayebikhorami, S., Shahmohammadi, M. A., Salehipour, H., & Civalek, Ö. (2022). Thermo-elastic damped nonlinear dynamic response of the initially stressed hybrid GPL/CNT/fiber/polymer composite toroidal shells surrounded by elastic foundation. Composite Structures, 283, 115047. https://doi.org/10.1016/j.compstruct.2021.115047
Nguyen, D. D., Kim, S., Vu, T. A. T., & Vu, A. M. (2020). Vibration and nonlinear dynamic analysis of variable thickness sandwich laminated composite panel in thermal environment. Journal of Sandwich Structures & Materials, 23(5), 1541–1570. https://doi.org/10.1177/1099636219899402
Sayyad, A. S., Ghugal, Y. M., & Kant, T. (2023). Higher-order static and free vibration analysis of doubly-curved FGM sandwich shallow shells. Forces in Mechanics, 11, 100194. https://doi.org/10.1016/j.finmec.2023.100194
Shooshtari, A., & Razavi, S. (2016). Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory. Latin American Journal of Solids and Structures, 13(3), 554–572. https://doi.org/10.1590/1679-78251831
Thi, T. H. N., Tran, V. K., Tu, P. H., & Thao, P. H. (2025). Dynamic instability analysis of piezoelectric fluid-infiltrated porous metal foam nanosheet considering surface and flexoelectricity effects in hygro-thermal environment. International Journal of Mechanics and Materials in Design, 21(2), 261–296. https://doi.org/10.1007/s10999-024-09736-2
Tu, P. H., Van Ke, T., Trai, V. K., & Hoai, L. (2024). An isogeometric analysis approach for dynamic response of doubly-curved magneto electro elastic composite shallow shell subjected to blast loading. Defence Technology, 41, 159–180. https://doi.org/10.1016/j.dt.2024.06.005
Van Huong, N., Cong, P. H., & Duc, N. D. (2024). Nonlinear vibration analysis of a double curved shallow sandwich shell in which the core made of three-phase nanocomposite and the two-outer layer of electromagnetic materials. Thin-Walled Structures, 196, 111501. https://doi.org/10.1016/j.tws.2023.111501
Yadav, A., Amabili, M., Panda, S. K., Dey, T., & Kumar, R. (2022). A semi-analytical approach for instability analysis of composite cylindrical shells subjected to harmonic axial loading. Composite Structures, 296, 115882. https://doi.org/10.1016/j.compstruct.2022.115882
Yadav, A., Amabili, M., Panda, S. K., & Dey, T. (2023). Instability analysis of fluid-filled angle-ply laminated circular cylindrical shells subjected to harmonic axial loading. European Journal of Mechanics - A/Solids, 97, 104810. https://doi.org/10.1016/j.euromechsol.2022.104810
Zaidan, S. M., & Hasan, H. M. (2023). Influences of angular velocity and periodic axial load on the dynamic instability of functionally graded porous cylindrical panels. Archive of Applied Mechanics, 93(7), 2793–2812. https://doi.org/10.1007/s00419-023-02407-2
Downloads
Published
How to Cite
License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
