Vibration Analysis of Sandwich Plates with Hybrid Composite Cores Combining Porous Polymer and Foam Structures
Document Type : Research Paper
Authors
1 Department of Mechanical Engineering, Faculty of Engineering, University of Kufa, 00964, Iraq
2 Ministry of Industry and Minerals, State Company for Rubber and Tires Industries, Najaf, 00964, Iraq
3 Al-Farahidi University, College of Technical Engineering, Baghdad, 00964, Iraq
4 Department of Mechanical Engineering, University of Tiaret, Tiaret, 00213, Algeria
5 Department of Mechanical Engineering, Graphic Era (Deemed to be University), Dehradun 248002, Uttarakhand, India
Abstract
Sandwich structures are composites comprising a core layer sandwiched between two face layers; each layer has a distinctive characteristic, and the structure can also include composite layers. This study presents an investigation of the free vibration behavior of a cored hybrid sandwich plate. The research demonstrates an analytical and numerical analysis. Sandwich plate models made of aluminum face sheets with reinforced cores are used in this study. The analytical analysis used in this study of a three-layer sandwich plate is based on Kirchhoff's theorem. An additional mathematical model is constructed by dividing the core layer into two parts to form four layers with a hybrid structure. The governing equations to obtain the mechanical properties and natural frequency of the foam composite, as well as open structural and hybrid cores, were used in this study. The numerical analysis of the various composite structures using the modal analysis was performed through ANSYS version 2021-R1. Analytical outcomes reveal that replacing the foam core with an open-cell structure reduces the natural frequency by 25%. However, the hybrid core structure reduces the natural frequency by 27.6%. Also, the ultimate flexural load in the hybrid structure is increased by 127.7% compared to the open-cell structure core. Finally, numerical results are highly consistent with those obtained analytically.
Keywords
Main Subjects
[1] M. Jafari, A. Kaveh, A. Ardebili, O. Moini Jazani, Design and simulation Sandwich Composite Fairing Shells Using FEM Analyzing, Journal of Computational Applied Mechanics, Vol. 53, No. 1, pp. 55-65, 2022.
[2] A. M. Zenkour, H. D. El-Shahrany, Forced vibration of a magnetoelastic laminated composite beam on Pasternak’s foundation, Journal of Computational Applied Mechanics, Vol. 52, No. 3, pp. 478-497, 2021.
[3] M. Al-Shablle, E. K. Njim, M. J. Jweeg, M. Al-Waily, Free vibration analysis of composite face sandwich plate strengthens by Al2O3 and SiO2 nanoparticles materials, Diagnostyka, Vol. 24, No. 2, pp. 1-9, 2023.
[4] J. Zhao, Z. Cui, S. Wang, Z. Sun, Y. Ding, Flexural response of additively manufactured honeycomb sandwich structures with continuous density-gradient variations, Thin-Walled Structures, Vol. 197, pp. 111642, 2024/04/01/, 2024.
[5] Y. Li, W. Xiao, X. Wu, L. Zhu, Analytical study on the dynamic response of foam-core sandwich plate under wedge impact, International Journal of Impact Engineering, Vol. 173, pp. 104464, 2023/03/01/, 2023.
[6] B. Sture, L. Vevere, M. Kirpluks, D. Godina, A. Fridrihsone, U. Cabulis, Polyurethane Foam Composites Reinforced with Renewable Fillers for Cryogenic Insulation, Polymers, Vol. 13, No. 23, pp. 4089, 2021.
[7] X. Zheng, Z. Xiao, Z. Ren, B. Zi, H. Bai, Y. Wu, L. Yao, Low-velocity impact response of sandwich structures with cores made from entangled metallic wire material - silicone rubber composites, Construction and Building Materials, Vol. 431, pp. 136633, 2024/06/14/, 2024.
[8] Z. Zheng, H.-S. Shen, H. Wang, X. Chen, T. Lu, Nonlinear low-velocity impact analysis of sandwich plates with titanium face sheets and porous aluminum core reinforced by GPLs, Alexandria Engineering Journal, Vol. 93, pp. 207-219, 2024/04/01/, 2024.
[9] S. Yang, H. Luo, L. Wang, J. Wu, Y. Mu, L. Wu, Interface microstructures and mechanical properties of foamable precursor sandwiches and aluminum foam sandwiches, Composite Structures, Vol. 336, pp. 117961, 2024/05/15/, 2024.
[10] D. Duryodhana, S. Waddar, D. Bonthu, J. Pitchaimani, S. Powar, M. Doddamani, Buckling and free vibrations behaviour through differential quadrature method for foamed composites, Results in Engineering, Vol. 17, pp. 100894, 2023/03/01/, 2023.
[11] K. Guo, L. Zhu, Y. Li, T. X. Yu, A. Shenoi, Q. Zhou, Experimental investigation on the dynamic behaviour of aluminum foam sandwich plate under repeated impacts, Composite Structures, Vol. 200, pp. 298-305, 2018/09/15/, 2018.
[12] C. Caglayan, I. Osken, A. Ataalp, H. S. Turkmen, H. Cebeci, Impact response of shear thickening fluid filled polyurethane foam core sandwich composites, Composite Structures, Vol. 243, pp. 112171, 2020/07/01/, 2020.
[13] P. Ren, L. Yin, Q. Tao, Z. Guo, W. Zhang, Dynamic failure of carbon fiber-reinforced plastics sandwich structures with polyvinyl chloride foam cores subjected to impact loading, Journal of Sandwich Structures & Materials, Vol. 23, No. 6, pp. 2375-2398, 2021.
[14] A. Koyama, D. Suetsugu, Y. Fukubayashi, H. Mitabe, Experimental study on the dynamic properties of rigid polyurethane foam in stress-controlled cyclic uniaxial tests, Construction and Building Materials, Vol. 321, pp. 126377, 2022/02/28/, 2022.
[15] H. Raissi, M. Shishesaz, S. Moradi, Applications of higher order shear deformation theories on stress distribution in a five layer sandwich plate, Journal of Computational Applied Mechanics, Vol. 48, No. 2, pp. 233-252, 2017.
[16] F. Masmoudi, A. Tamrabet, S. Refrafi, N. Alselami, A. Menasria, A. Bouhadra, S. Benyoucef, Coupled loading hygro-thermo-mechanical Effect on the stability of imperfect functionally graded sandwich plates, Journal of Computational Applied Mechanics, pp. -, 2024.
[17] A. Tamrabet, C. Mourad, N. Ali Alselami, A. Menasria, B. Mamen, A. Bouhadra, Efficient Kinematic model for Stability Analysis of Imperfect Functionally Graded Sandwich Plates with Ceramic middle layer and Varied Boundary Edges, Journal of Computational Applied Mechanics, Vol. 55, No. 2, pp. 184-200, 2024.
[18] A. Ghaznavi, M. Shariyat, Real Time Finite Element Simulation of Thick and Thin Sandwich Plate with Viscoelastic Core and Embedded SMA Wires, Journal of Computational Applied Mechanics, Vol. 53, No. 2, pp. 219-243, 2022.
[19] E. K. Njim, S. H. Bakhy, M. Al-Waily, Analytical and Numerical Investigation of Free Vibration Behavior for Sandwich Plate with Functionally Graded Porous Metal Core, Pertanika Journal of Science and Technology, 2021.
[20] S. Maraş, M. Yaman, Experimental and numerical investigation of free vibration behaviours of sandwich syntactic foams, Structures, Vol. 58, pp. 105390, 2023/12/01/, 2023.
[21] N.-D. Nguyen, V.-T. Bui, T.-K. Nguyen, A modified strain gradient theory for buckling, bending and free vibration behaviors of metal foam microbeams, Structures, Vol. 64, pp. 106533, 2024/06/01/, 2024.
[22] J. Sun, L. Yan, K. Zhu, P. Jiang, Y. Xu, X. Zheng, An all-composite sandwich structure with PMI foam-filled for adjustable vibration suppression and improved mechanical properties, Thin-Walled Structures, Vol. 196, pp. 111544, 2024/03/01/, 2024.
[23] Z. Li, H. Li, Y. Yang, Y. Deng, Z. Zhang, C. Ren, H. Wang, B. Zhou, J. Zhou, H. Wang, H. Zhang, Z. Luo, Q. Han, Z. Guan, Nonlinear vibration behaviours of foam-filled honeycomb sandwich cylindrical shells: Theoretical and experimental investigations, Aerospace Science and Technology, pp. 109252, 2024/05/28/, 2024.
[24] M. Arabzadeh-Ziari, M. Mohammadimehr, E. Arabzadeh-Ziari, M. Asgari, Deflection, buckling and vibration analyses for a sandwich nanocomposite structure with foam core reinforced with GPLs and SMAs based on TSDBT, Journal of Computational Applied Mechanics, Vol. 55, No. 2, pp. 289-321, 2024.
[25] A. Farazin, A. H. Ghasemi, N. Miralaei, A. Yvaz, Investigation of the effect of impactor shape on the behavior of composite sandwich plates with aluminum foam core at low-speed impact: Experimental and physical study, Journal of Computational Applied Mechanics, Vol. 54, No. 1, pp. 150-166, 2023.
[26] M. S. H. Al-Furjan, C. Yin, X. Shen, R. Kolahchi, M. S. Zarei, M. H. Hajmohammad, Energy absorption and vibration of smart auxetic FG porous curved conical panels resting on the frictional viscoelastic torsional substrate, Mechanical Systems and Signal Processing, Vol. 178, pp. 109269, 2022/10/01/, 2022.
[27] M. S. H. Al-Furjan, Y. Yang, A. Farrokhian, X. Shen, R. Kolahchi, D. K. Rajak, Dynamic instability of nanocomposite piezoelectric-leptadenia pyrotechnica rheological elastomer-porous functionally graded materials micro viscoelastic beams at various strain gradient higher-order theories, Polymer Composites, Vol. 43, No. 1, pp. 282-298, 2022.
[28] M. S. H. Al-Furjan, L. Shan, X. Shen, R. Kolahchi, D. K. Rajak, Combination of FEM-DQM for nonlinear mechanics of porous GPL-reinforced sandwich nanoplates based on various theories, Thin-Walled Structures, Vol. 178, pp. 109495, 2022/09/01/, 2022.
[29] M. Mohammadi, A. Farajpour, A. Moradi, M. Ghayour, Shear buckling of orthotropic rectangular graphene sheet embedded in an elastic medium in thermal environment, Composites Part B: Engineering, Vol. 56, pp. 629-637, 2014/01/01/, 2014.
[30] M. Mohammadi, A. Farajpour, A. Rastgoo, Coriolis effects on the thermo-mechanical vibration analysis of the rotating multilayer piezoelectric nanobeam, Acta Mechanica, Vol. 234, No. 2, pp. 751-774, 2023/02/01, 2023.
[31] M. Mohammadi, A. Farajpour, A. Moradi, M. Hosseini, Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam, Engineering Analysis with Boundary Elements, Vol. 145, pp. 117-131, 2022/12/01/, 2022.
[32] M. Mohammadi, M. Goodarzi, M. Ghayour, A. Farajpour, Influence of in-plane pre-load on the vibration frequency of circular graphene sheet via nonlocal continuum theory, Composites Part B: Engineering, Vol. 51, pp. 121-129, 2013/08/01/, 2013.
[33] M. Mohammadi, M. Hosseini, M. Shishesaz, A. Hadi, A. Rastgoo, Primary and secondary resonance analysis of porous functionally graded nanobeam resting on a nonlinear foundation subjected to mechanical and electrical loads, European Journal of Mechanics - A/Solids, Vol. 77, pp. 103793, 2019/09/01/, 2019.
[34] H. Moosavi, M. Mohammadi, A. Farajpour, S. H. Shahidi, Vibration analysis of nanorings using nonlocal continuum mechanics and shear deformable ring theory, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 1, pp. 135-140, 2011/10/01/, 2011.
[35] M. Mohammadi, M. Safarabadi, A. Rastgoo, A. Farajpour, Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment, Acta Mechanica, Vol. 227, No. 8, pp. 2207-2232, 2016/08/01, 2016.
[36] M. S. H. Al-Furjan, R. Kolahchi, L. Shan, M. H. Hajmohammad, A. Farrokhian, X. Shen, Slamming impact induced hydrodynamic response in wave-piercing catamaran beam elements with controller, Ocean Engineering, Vol. 266, pp. 112908, 2022/12/15/, 2022.
[37] M. Motezaker, R. Kolahchi, D. K. Rajak, S. R. Mahmoud, Influences of fiber reinforced polymer layer on the dynamic deflection of concrete pipes containing nanoparticle subjected to earthquake load, Polymer Composites, Vol. 42, No. 8, pp. 4073-4081, 2021.
[38] M. S. H. Al-Furjan, Z. H. Qi, L. Shan, A. Farrokhian, X. Shen, R. Kolahchi, Nano supercapacitors with practical application in aerospace technology: Vibration and wave propagation analysis, Aerospace Science and Technology, Vol. 133, pp. 108082, 2023/02/01/, 2023.
[39] R. Kolahchi, B. Keshtegar, N.-T. Trung, Optimization of dynamic properties for laminated multiphase nanocomposite sandwich conical shell in thermal and magnetic conditions, Journal of Sandwich Structures & Materials, Vol. 24, No. 1, pp. 643-662, 2022.
[40] L. Shan, C. Y. Tan, X. Shen, S. Ramesh, M. S. Zarei, R. Kolahchi, M. H. Hajmohammad, The effects of nano-additives on the mechanical, impact, vibration, and buckling/post-buckling properties of composites: A review, Journal of Materials Research and Technology, Vol. 24, pp. 7570-7598, 2023/05/01/, 2023.
[41] C. Chu, L. Shan, M. S. H. Al-Furjan, M. S. Zarei, M. H. Hajmohammad, R. Kolahchi, Experimental study for the effect of hole notched in fracture mechanics of GLARE and GFRP composites subjected to quasi-static loading, Theoretical and Applied Fracture Mechanics, Vol. 122, pp. 103624, 2022/12/01/, 2022.
[42] L. Hadji, R. Madan, F. Bernard, Thermal buckling in multi-directional porous plates: The effects of material grading and aspect ratio, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 238, No. 4, pp. 412-426, 2024.
[43] L. Hadji, V. Plevris, R. Madan, H. Ait Atmane, Multi-Directional Functionally Graded Sandwich Plates: Buckling and Free Vibration Analysis with Refined Plate Models under Various Boundary Conditions, Computation, Vol. 12, No. 4, pp. 65, 2024.
[44] R. Madan, S. Bhowmick, L. Hadji, A. Alnujaie, Limit angular speed analysis of porous functionally graded rotating disk under thermo-mechanical loading, Multidiscipline Modeling in Materials and Structures, Vol. 19, No. 2, pp. 311-323, 2023.
[45] E. Kadum Njim, M. J. Jweeg, M. H. Al-Maamori, Z. S. Idan, M. Al‑Waily, A. Mouthanna, L. Hadji, Wear Behavior Analysis of Imperfect Functionally Graded Parts: Analytical and Experimental Techniques, BIO Web Conf., Vol. 97, pp. 00001, 2024.
[46] M. S. H. Al-Furjan, M. X. Xu, A. Farrokhian, G. S. Jafari, X. Shen, R. Kolahchi, On wave propagation in piezoelectric-auxetic honeycomb-2D-FGM micro-sandwich beams based on modified couple stress and refined zigzag theories, Waves in Random and Complex Media, pp. 1-25.
[47] E. K. Njim, S. H. Bakhy, M. Al-Waily, Analytical and Numerical Investigation of Buckling Behavior of Functionally Graded Sandwich Plate with Porous Core, Journal of Applied Science and Engineering, Vol. 25, No. 2, pp. 339-347, 2021/08/29, 2021.
[48] M. Al-Waily, H. Raad, E. K. Njim, Free Vibration Analysis of Sandwich Plate-Reinforced Foam Core Adopting Micro Aluminum Powder, Physics and Chemistry of Solid State, Vol. 23, No. 4, pp. 659-668, 11/30, 2022.
[49] S. Carusotti, R. Lombroni, P. Fanelli, L. Jackson, F. Giorgetti, P. F. Buxton, G. Calabrò, M. Romanelli, E. R. d. V. Valdes, Structural behaviour characterization of ST40 Inner Vacuum Chamber (IVC2) during a plasma VDE using ANSYS Workbench, Fusion Engineering and Design, Vol. 192, pp. 113772, 2023/07/01/, 2023.
[50] A. Mouthanna, S. H. Bakhy, M. Al-Waily, E. K. Njim, Free Vibration Investigation of Single-Phase Porous FG Sandwich Cylindrical Shells: Analytical, Numerical and Experimental Study, Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2023/08/29, 2023.
[51] E. K. Njim, H. R. Hasan, M. J. Jweeg, M. Al-Waily, A. A. Hameed, A. M. Youssef, F. M. Elsayed, Mechanical Properties of Sandwiched Construction with Composite and Hybrid Core Structure, Advances in Polymer Technology, Vol. 2024, No. 1, pp. 3803199, 2024.
)
Volume 55, Issue 3
June 2024Pages 485-499
- Receive Date: 07 June 2024
- Revise Date: 17 June 2024
- Accept Date: 19 June 2024