Journal of Science and Technology of Composites

Journal of Science and Technology of Composites

Stability Analysis of a Sandwich plate with an Auxetic Core Reinforced with Carbon Nanotubes under Aeroelastic Forces

Document Type : Research Paper

Authors
Korosh Khorshidi
Hanieh Norowzian
Department of Mechanical Engineering, Arak University, Arak, Iran.
10.22068/jstc.2025.2048747.1909
Abstract
In the present study, the stability analysis of a three-layer sandwich plate with an auxetic core under aeroelastic forces has been investigated using simply supported boundary conditions. In this sandwich plate, the middle layer, or the so-called core, is made of auxetic material, while the upper and lower layers are composed of isotropic material. The plate is subjected to aerodynamic forces from one side. To reduce the intensity of the vibrations in the structure, the upper and lower layers of the plate has been reinforced with carbon nanotubes. For the analysis and modeling of the plate's vibrations, the modified shear deformation plate theory has been employed and the aerodynamic forces applied from the airflow, assuming first-order piston theory. Using Hamilton's principle, the governing equations of motion for the vibrational behavior of the sandwich plate have been derived, and the Galerkin method with weighted residuals has been used to solve these equations. To demonstrate the validity of the derived relationships and the proposed solution method, the results of this study have been compared with results published in reputable articles and numerical results obtained using the Galerkin method with commercial software. Finally, the effects of various parameters such as the geometric dimensions of the sandwich panel, the dimensions of the auxetic core, aerodynamic pressure, and the volume fraction of carbon nanotubes on the stability of the structure have been analyzed and discussed.
Keywords
Sandwich Panel
Auxetic Core
Vibration
Stability
Aeroelastic Forces

Subjects

[1] Khorshidi, K., Savvafi, S., Zobeid, S., “Forced vibration of a three-layer cylindrical shell with an auxetic core containing fluid under the influence of shock load using high-order shear deformation theories,” Mechanics of Advanced and Smart Materials, vol. 3, no. 4, pp. 431-464, 2024.
[2] Khorshidi, K., Shabani, Y., “Free vibration analysis of sandwich plates with magnetorheological smart fluid core by using modified shear deformation theory,” Journal of Science and Technology of Composites, vol. 8, no. 4, pp. 1826-1835, 2022.
[3] Keshavarzian, M., Najafizadeh, M. M., Khorshidi, K., Yousefi, P., Alavi, M., “Improved high-order analysis of linear vibrations of a thick sandwich panel with an electro-rheological core by using exponential shear deformation theory,” Journal of Solid Mechanics, vol. 14, no. 1, 2022.
[4] Khorshidi, K., Karimi, M., “Fluid-structure interaction of vibrating composite piezoelectric plates using exponential shear deformation theory,” Mechanics of Advanced Composite Structures, vol. 7, no. 1, pp. 59-69, 2020.
[5] Khorshidi, K., Ghasemi, M., “Buckling analysis of functionally graded rectangular microplate in thermal environment based on exponential shear deformation theory using the modified couple stress theory,” Journal of Solid and Fluid Mechanics, vol. 8, no. 4, pp. 179-196, 2018.
[6] Khorshidi, K., Fallah, A., “Effect of exponential stress resultant on buckling response of functionally graded rectangular plates,” Journal of Stress Analysis, vol. 2, no. 1, pp. 27-33, 2017.
[7] Khorshidi, K., Fallah, A.,  Siahpush, A., “Free vibrations analysis of functionally graded composite rectangular nano-plate based on nonlocal exponential shear deformation theory in thermal environment,” Journal of Science and Technology of Composites, vol. 4, no. 1, pp. 109-120, 2017.
[8] Khorshidi, K., Fallah, A., “Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory,” International Journal of Mechanical Sciences, vol. 113, pp. 94-104, 2016.
[9] Khorshidi, K., Asgari, T., Fallah, A., “Free vibrations analysis of functionally graded rectangular nano-plates based on nonlocal exponential shear deformation theory,” Mechanics of Advanced Composite Structures, vol. 2, no. 2, pp. 79-93, 2015.
[10] El Meiche, N., Tounsi, A., Ziane, N., Mechab, I., “A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate,” International Journal of Mechanical Sciences, vol. 53, no. 4, pp. 237-247, 2011.
[11] Pradhan, K. K., Chakraverty, S., “Transverse vibration of isotropic thick rectangular plates based on new inverse trigonometric shear deformation theories,” International Journal of Mechanical Sciences, vol. 94, pp. 211-231, 2015.
[12] Farzam Rad, A., Hassani, B., Karamodin, A. (Eds.), “Free vibration analysis of FG nano plates using quasi-3D hyperbolic refined plate theory and the isogeometric approach,” Proceedings of the International Congress on Science and Engineering, 2018.
[13] Zhang, H., Shi, D., Wang, Q., “An improved Fourier series solution for free vibration analysis of the moderately thick laminated composite rectangular plate with non-uniform boundary conditions,” International Journal of Mechanical Sciences, vol. 121, pp. 1-20, 2017.
[14] Kiani, Y., “Free vibration of carbon nanotube reinforced composite plate on point supports using Lagrangian multipliers,” Meccanica, vol. 52, no. 6, pp. 1353-1367, 2017.
[15] Shi, D., Zhang, H., Wang, Q., Zha, S., “Free and forced vibration of the moderately thick laminated composite rectangular plate,” Shock and Vibration, vol. 2017, 7820130, 2017.
[16] Najafizadeh, M., Heydari, H., “An exact solution for buckling of functionally graded circular plates based on higher order shear deformation plate theory under uniform radial compression,” International Journal of Mechanical Sciences, vol. 50, no. 3, pp. 603-612, 2008.
[17] Hosseini-Hashemi, S., Kermajani, M., Nazemnezhad, R., “An analytical study on the buckling and free vibration of rectangular nanoplates using nonlocal third-order shear deformation plate theory,” European Journal of Mechanics-A/Solids, vol. 51, pp. 29-43, 2015.
[18] Hosseini-Hashemi, S., Zare, M.,  Nazemnezhad, R., “An exact analytical approach for free vibration of Mindlin rectangular nano-plates via nonlocal elasticity,” Composite Structures, vol. 100, pp. 290-299, 2013.
[19] Tran Quoc Quan, Vu Minh Anh, Vinyas Mahesh,  Nguyen Dinh Duc, “Vibration and nonlinear dynamic response of imperfect sandwich piezoelectric auxetic plate,” Mechanics of Advanced Materials and Structures, 2024.
[20] Aglietti, G. S., Cunningham, P. R., “Is a simple support really that simple,” Journal of Sound and Vibration, vol. 257, no. 2, pp. 321-335, 2002.
[21] Xian-Kun, X., Hui-Shen, S., “Vibration of postbuckled FGM hybrid laminated plates in thermal environment,” Engineering Structures, vol. 30, no. 9, pp. 2420-2435, 2008.
[22] Duc, N. D., Cong, P. H., “Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs,” Journal of Sandwich Structures and Materials, vol. 20, pp. 692-717, 2016.
[23] Li, Y., Che, Z., Xiao, D., Wu, W.,  Fang, D., “The dynamic response of shallow sandwich arch with auxetic metallic honeycomb core under localized impulsive loading,” International Journal of Impact Engineering, vol. 122, pp. 224-237, 2018.
[24] Alipour, M. M.,  Shariyat, M., “Analytical layerwise free vibration analysis of circular/annular composite sandwich plates with auxetic cores,” International Journal of Mechanical Materials Design, doi:10.1007/s10999-015-9321-2, 2015.
[25] Hajmohammad, M. H., Nouri, A. H., Zarei, M. S., Kolahchi, R., “A new numerical approach and visco-refined zigzag theory for blast analysis of auxetic honeycomb plates integrated by multiphase nanocomposite face sheets in hygrothermal environment,” Engineering with Computers, doi:10.1007/s00366-018-0655-x, 2018.
[26] Song, Z.-G., Li, F.-M., “Active aeroelastic flutter analysis and vibration control of supersonic composite laminated plate,” Composite Structures, vol. 94, no. 2, pp. 702-713, 2012.
[27] Farhadi, S., Hosseini-Hashemi, S. H., “Aeroelastic behavior of cantilevered rotating rectangular plates,” International Journal of Mechanical Sciences, vol. 53, no. 4, pp. 316-328, 2011.
[28] Kouchakzadeh, M. A., Rasekh, M.,  Haddadpour, H., “Panel flutter analysis of general laminated composite plates,” Composite Structures, vol. 92, no. 12, pp. 2906-2915, 2010.
[29] Fazelzadeh, S. A., Pouresmaeeli, S.,  Ghavanloo, E., “Aeroelastic characteristics of functionally graded carbon nanotube-reinforced composite plates under a supersonic flow,” Computer Methods in Applied Mechanics and Engineering, vol. 285, pp. 714-729, 2015.
[30] Prakash, T., Singha, M. K.,  Ganapathi, M., “A finite element study on the large amplitude flexural vibration characteristics of FGM plates under aerodynamic load,” International Journal of Non-Linear Mechanics, vol. 47, no. 5, pp. 439-447, 2012.
[31] Jaiman, R. K., Parmar, M. K., Gurugubelli, P. S., “Added mass and aeroelastic stability of a flexible plate interacting with mean flow in a confined channel,” Journal of Applied Mechanics, vol. 81, no. 4, 041006, 2014.
[32] Mahato, P. K., Maiti, D. K., “Aeroelastic analysis of smart composite structures in hygro-thermal environment,” Composite Structures, vol. 92, no. 4, pp. 1027-1038, 2010.
[33] Zhou, K., Huang, X., Zhang, Z., Hua, H., “Aero-thermo-elastic flutter analysis of coupled plate structures in supersonic flow with general boundary conditions,” Journal of Sound and Vibration, vol. 430, pp. 36-58, 2018.
[34] Shitov, S., Vedeneev, V., “Flutter of rectangular simply supported plates at low supersonic speeds,” Journal of Fluids and Structures, vol. 69, pp. 154-173, 2017.
[35] Xia, W., Zhao, X., Li, D., Shen, S., “Nonlinear flutter response of pre-heated functionally graded panels,” International Journal of Computational Materials Science and Engineering, vol. 1850012, 2018.
[36] Sun, Q., Xing, Y., “Exact eigensolutions for flutter of two-dimensional symmetric cross-ply composite laminates at high supersonic speeds,” Composite Structures, vol. 183, pp. 358-370, 2018.
[37] Katsikadelis, J. T., Babouskos, N. G., “Flutter instability of laminated thick anisotropic plates using BEM,” Acta Mechanica, vol. 229, no. 2, pp. 613-628, 2018.
[38] Khorshidi, K., Karimi, M., “Flutter analysis of sandwich plates with functionally graded face sheets in thermal environment,” Aerospace Science and Technology, vol. 95, 105461, 2019.
[39] Zarastvand, MR., Ghassabi, M., Talebitooti, R., “Prediction of acoustic wave transmission features of the multilayered plate constructions: A review,” Journal of Sandwich Structures & Materials, vol. 24 (1), 218-293, 2022.
[40] Zarastvand, MR., Ghassabi, M., Talebitooti, R., “A review approach for sound propagation prediction of plate constructions,” Archives of Computational Methods in Engineering, vol. 28, 2817-2843,2021.
 
Journal of Science and Technology of Composites
Volume 11, Issue 4
Winter 2025
Pages 2597-2610