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Keywords

aluminum foam, Sandwich panels, Natural frequency, Finite element analysis (FEA), Classical plate theory (CPT)

Document Type

Research Paper

Abstract

This study investigates the natural frequencies and vibrational behavior of aluminum foam sandwich panels by using numerical and analytical methods. The panels consist of an aluminum foam core sandwiched between two aluminum sheets, offering a lightweight yet structurally robust solution, making them ideal for applications in the aerospace and automotive industries. A mathematical model based on classical plate theory (CPT) was developed to compute the natural frequencies of supported rectangular sandwich plates. The Gibson-Ashby equation was employed to estimate the Young's modulus of the aluminum foam core. The analytical model was validated using finite element analysis (FEA) conducted in ANSYS 2021 R1, allowing for a thorough comparison between numerical and analytical results. The results showed strong agreement between the numerical and theoretical analysis, especially at high foam densities. The discrepancies between the numerical simulation and analytical predictions decreased with increasing foam density. For instance, at a density of 850 kg/m³, the difference between the numerical natural frequency (674 Hz) and the analytical prediction (681.75 Hz) was only 1.14%. In contrast, at a lower density of 350 kg/m³, the discrepancy increased to 8.52%, with numerical and analytical frequencies of 739.66 Hz and 808.51 Hz, respectively. This trend can be attributed to the complexities in the material behavior at lower densities, which the analytical model simplifies by neglecting nonlinear deformations and complex stress distributions. As foam density increases, the material exhibits more consistent mechanical properties, resulting in closer alignment between numerical and analytical results. Moreover, higher foam densities contribute to an increase in mass, which negatively affects the natural frequency, causing it to decrease. Conversely, an increase in Young's modulus enhances the stiffness of the material, resulting in higher natural frequencies. Therefore, the optimal foam density range of 350 to 450 kg/m³ is crucial for achieving a good balance between stiffness and weight. Maintaining a lightweight structure while improving stiffness is essential for achieving optimal performance. Consequently, these panels are particularly suitable for applications in the aerospace and automotive sectors that require lightweight, high-performance structures.

References

A A. E. Simone, L. J. Gibson, Aluminium foams produced by liquid state processes, Acta Mater., 46 (1998) 3109-3123. https://doi.org/10.1016/S1359-6454(98)00017-2 A B. Parveez, N. A. Jamal, H. Anuar, Y. Ahmad, A. Aabid, M. Baig, Microstructure and mechanical properties of metal foams fabricated via melt foaming and powder metallurgy technique: A Review, Materials, 15 (2022) 5302. https://doi.org/10.3390/ma15155302 A S. Sahu, D. P. Mondal, J. U. Cho, M. D. Goel, M. Z. Ansari, Low-velocity impact characteristics of closed cell AA2014-SiCp composite foam, Compos. B Eng., 160 (2019) 394- 401. https://doi.org/10.1016/j.compositesb.2018.12.054 A A. K. Shukla, J. D. Majumdar, Studies on microstructure and mechanical properties of aluminium foam prepared by spray forming route, Procedia Manuf., 35 (2019) 861-865. http://dx.doi.org/10.1016/j.promfg.2019.06.032 A D. Rui, M. Wang, D. Wang, H. Zengrong, M. D. Green, Q. Nian, Understanding mechanical behaviour of metallic foam with hollow struts using the hollow pentagonal dodecahedron model, Scr. Mater., 182 (2020) 114-119. https://doi.org/10.1016/j.scriptamat.2020.03.001 A D. K. Rajak, L. A. Kumaraswamidhas, S. Das, An energy absorption behaviour of foam filled structures, Procedia Mater. Sci., 5 (2014) 164-172. http://dx.doi.org/10.1016/j.mspro.2014.07.254 R. Karuppasamy, D. Barik, Production methods of aluminium foam: A brief review, Mater. Today, Proc., 37 (2021)1584-1587. https://doi.org/10.1016/j.matpr.2020.07.161 A Q. Gao, X. Su, Z. Feng, P. Huang, Z. Wei, X. Sun, G. Zu, Preparation, bubbles evolution, and compressive mechanical properties of copper-coated carbon fibers/aluminum foam sandwich panels, J. Mater. Res. Technol., 30 (2024) 375- 384. http://dx.doi.org/10.1016/j.jmrt.2024.03.048 A E. Elettore, M. Latour, M. D’Aniello, R. Landolfo, G. Rizzano, Prototype Tests on Screwed Steel–Aluminium Foam–Steel Sandwich Panels, Buildings, 13 (2023) 2836.‏ https://doi.org/10.3390/buildings13112836 A P. Huang, Q. Gao, X. Su, Z. Feng, X. Sun, G. Zu, Effect of Core Density on the Three-Point Bending Performance of Aluminum Foam Sandwich Panels, Materials, 16 (2023) 7091.‏ https://doi.org/10.3390/ma16227091 A A. Sato, M. Latour, M. D'Aniello, G. Rizzano, R. Landolfo, Experimental response of full‐scale steel‐aluminium foam‐steel sandwich panels in bending, ce/papers, 6 (2023) 452- 457.‏ https://doi.org/10.1002/cepa.2710 A A. Vidwans, P. Trovalusci, N. Fantuzzi, J. A. Correia, Application of column buckling theory to steel aluminium foam sandwich panels, Structures, 54 (2023) 607- 617. ‏ https://doi.org/10.1016/j.istruc.2023.04.112 A R. Selvaraj, A. Maneengam, M. Sathiyamoorthy, Characterization of mechanical and dynamic properties of natural fiber reinforced laminated composite multiple-core sandwich plates, Compos. Struct., 284 (2022) 115141. https://doi.org/10.1016/j.compstruct.2021.115141 A P. Mohammadkhani, S. S. Jalali, M. Safarabadi, Experimental and numerical investigation of Low-Velocity impact on steel wire reinforced foam Core/Composite skin sandwich panels, Compos. Struct., 256 (2021) 112992. https://doi.org/10.1016/j.compstruct.2020.112992 A M. Al-Waily, M. A. Al-Shammari, M. Jweeg, An Analytical Investigation of Thermal Buckling Behavior of Composite Plates Reinforced by Carbon Nano Particles, Eng. J., 24 (2020) 11-21. http://dx.doi.org/10.4186/ej.2020.24.3.11 A P. Huang, Q. Gao, X. Su, Z. Feng, X. Sun, G. Zu, Effect of Core Density on the Three-Point Bending Performance of Aluminum Foam Sandwich Panels, Materials, 16 (2023) 7091.‏ https://doi.org/10.3390/ma16227091 A V. O. Babarinde, I. Telichev, Augmenting foam-core sandwich panel with toughened blanket for enhanced orbital debris protection, Int. J. Impact Eng., 182 (2023)104772. https://doi.org/10.1016/j.ijimpeng.2023.104772 A A. Mouthanna, S. H. Bakhy, M. Al‐Waily, A Computer Presentation of the Analytical and Numerical Study of Nonlinear Vibration Response for Porous Functionally Graded Cylindrical Panel, Adv. Eng. Technol. Appl., 1983 (2023) 57-72. https://doi.org/10.1007/978-3-031-50920-9_5 A M. Amir, K. Sang-Woo, L. Soo‐Yong, Free vibration analysis of the geometrically nonlinear functionally graded porous curved panels in deterministic and stochastic domains considering various boundary conditions, Waves Random Complex Medium, (2024) 1- 26. https://doi.org/10.1080/17455030.2024.2343100 A 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, Pertani. J. Sci. Technol., 29 (2021) 2475-2021. http://dx.doi.org/10.47836/pjst.29.3.39 A D. P. T. Minh, N. N. Khoa, S. Nguyen-Van, N. T. Hoa, N. Nguyen-Dinh, N. Q. Hung, L. V. Dung, A Numerical Model for the Composite Sandwich Panel in Vibration by the Homogenization Method, Adv. Eng. Res., 366 (2022) 79-88. http://dx.doi.org/10.1007/978-3-030-92574-1_8 A F. Djamaluddin, Optimization of Free Vibration for Sandwich Foam Core, Int. J. Mech., 17 (2023) 93-98. http://dx.doi.org/10.46300/9104.2023.17.14 A Y. Q. Wang, J. W. Zu, Vibration behaviors of functionally graded rectangular plates with porosities and moving in thermal environment, Aerosp. Sci. Technol., 69 (2017) 550-562. https://doi.org/10.1016/j.ast.2017.07.023 A B. Badarloo, H. Salehipour, An analytical closed-form solution for free vibration and stability analysis of curved sandwich panels made of porous metal-foam core and nanocomposite reinforced face-sheets, Proc. Inst. Mech. Eng. C, J. Mech. Eng. Sci., 238 (2023) 2969-2987. https://doi.org/10.1177/09544062231195491 A O. Rahmani, K. Malekzadeh, S. Mohammad, S. M. R. Khalili, Analytical Solution for Free Vibration of Sandwich Structures with a Functionally Graded Syntactic Foam Core, Mater. Sci. Forum., 636-637 (2010) 1143-1149. https://doi.org/10.4028/www.scientific.net/MSF.636-637.1143 A Michael F. A. and Cellular, M. F., Solids: Structure and Properties (2nd), Cambridge University Press, 1997. A 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, 17 (2023) 100894.‏ https://doi.org/10.1016/j.rineng.2023.100894 A M. F. Ashby, A. Evans, N. A. Fleck, L. J. Gibson, J. W. Hutchinson, H. N. G. Wadley, Metal foams: a design guide: Butterworth-Heinemann, Oxford, UK, ISBN 0-7506-7219-6, Published 2000, Hardback, 251 pp., $75.00, Mater. Des., 23 (2002) 119. http://dx.doi.org/10.1016/S0261-3069(01)00049-8 A Ventsel, E. and Krauthammer, T., Thin Plates and Shells, CRC Press, Boca Raton, 1st edition, 2001. A M. Al-Waily, M. A. Al-Shammari, M. J. Jweeg, An analytical investigation of thermal buckling behavior of composite plates reinforced by carbon nano-part icles, Eng. J., 24 (2020) 11-21. http://dx.doi.org/10.4186/ej.2020.24.3.11 A A. W. Leissa, Vibration of plates Scientific and Technical Information Division, National Aeronautics and Space Administration. 160 (1969). A S. E. Sadiq, M. J. Jweeg, and S. H. Bakhy, The effects of honeycomb parameters on transient response of an aircraft sandwich panel structure. In IOP Conference Series, Mater. Sci. Eng., 928 (2020) 022126. https://doi.org/10.1088/1757-899X/928/2/022126 A V. N. Burlayenko, V. N., and T. Sadowski, Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements. Meccanica, 55 (2020) 815-832. https://doi.org/10.1007/s11012-019-01001-7 A J. Urruzola, I. Garmendia, Improved FEM Natural Frequency Calculation for Structural Frames by Local Correction Procedure, Buildings 14 (2024) 1195.‏ https://doi.org/10.3390/buildings14051195 A Pandimani, Ponnada, M. R., and Y. Geddada, Numerical nonlinear modeling and simulations of high strength reinforced concrete beams using ANSYS, J. Build. Pathol. Rehabil., 7 (2022) 22.‏ https://doi.org/10.1007/s41024-021-00155-w A F. Boutaghane, H. Aouici, and A. M. Bouchelaghem, Classification of the vibration conditions on the natural frequency and the maximal displacement using response surface methodology (RSM).  Int. J. Adv. Manuf. Technol., 103 (2019) 4495-4505.‏ https://doi.org/10.1007/s00170-019-03867-z A Ashby, M. F., Evans, A. G., Fleck, N. A., Gibson, L. J., Hutchinson, J. W., & Wadley, H. N. G. Metal Foams: A Design Guide. Butterworth-Heinemann, 2000. A.E. Elettore, M. Latour, M. Aniello, R. Landolfo, & G. Rizzano, Prototype Tests on Screwed Steel–Aluminium Foam–Steel Sandwich Panels, Buildings, 13 (2023) 2836. https://doi.org/10.3390/buildings13112836

Highlights

The natural frequency of aluminum foam sandwich panels was studied using numerical and analytical methods. A CPT-based model was developed for frequency analysis, with Young’s modulus computed via Gibson-Ashby. FEA in ANSYS validated the analytical results, showing strong agreement between both methods. Higher foam density lowers frequencies, while increased Young’s modulus enhances stiffness. Foam densities of 350–450 kg/m³ optimize stiffness-to-weight balance for aerospace panel design

DOI

10.30684/etj.2024.153779.1821

First Page

58

Last Page

74

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