FEA of stress-strain state and vibrations of a three-layer plate
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Abstract
Solar panels are considered as three-layer plates with a thick, rigid outer layer and a thin, soft inner layer. The model for anti-sandwich plates was used to describe the mechanical behavior of the plates in the example of a solar panel. The literature review includes scientific articles describing models for analytical and numerical calculations of three-layer plates. During the scientific study of the mechanical behavior of the solar plate under the influence of external factors, the finite element analysis method for multilayer plates was used. The shell elements were used to calculate and model the natural waveforms of three-layer plates. The paper presents scientific research under static loading under various conditions of influence, analyzes the natural frequencies, and vibration forms, and investigates the stress-strain state depending on the vibration frequencies of the three-layer plate. As part of the scientific work, a mechanical model of a thin solar panel was studied using finite element analysis in the ANSYS program, taking into account various temperature conditions and comparing the results with existing studies
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References
1. Lopez A., Roberts B., Heimiller D., Blair N., Porro G. (2012). U.S. Renewable Energy Technical Potentials: A GIS-Based Analysis. National Renewable Energy Laboratory Document 7, 1–40, ISBN: NREL/TP-6A20-51946. Doi: NREL/TP-6A20-51946. https://doi.org/10.2172/1219777
2. Stark W., Jaunich M., Investigation of Ethylene/Vinyl Acetate Copolymer (EVA) by thermal analysis DSC and DMA, Polymer Testing, vol. 30, 2011, pp. 236–242. https://doi.org/10.1016/j.polymertesting.2010.12.003
3. Kormanikova E., Kostrova K., Dynamic behavior of composite sandwich panel with CFRP outer layers, Wseas trasactions on applied and theoretical mechanics, vol. 17, 2022, pp. 263–269. https://doi.org/10.37394/232011.2022.17.32
4. Cecile Helfen, Stefan Diebels, A numerical homogenisation method for sandwich plates based on a plate theory with thickness change, Journal of applied mathematics and mechanics, Special Issue: Continuum Mechanics, vol. 93, issue 2–3, pp. 113–125. https://doi.org/10.1002/zamm.201100173
5. Foraboschi P., Three-layered sandwich plate: Exact mathematical model, Composites: Part B, vol. 45, 2013, pp. 1601–1612. https://doi.org/10.1016/j.compositesb.2012.08.003
6. Assmus M., Naumenko K., Altenbach H., A multiscale projection approach for the coupled global–local structural analysis of photovoltaic modules, Composite Structures, vol. 158, 2016, pp. 340–358. https://doi.org/10.1016/j.compstruct.2016.09.036
7. Naceur H., Shiri S., Coutellier D., Batoz J. L., On the modeling and design of composite multilayered structures using solid-shell finite element model, Finite Elements in Analysis and Design, vol. 70–71, 2013, pp. 1–14. https://doi.org/10.1016/j.finel.2013.02.004
8. Fernando G. Flores Liz G. Nallim, Sergio Oller, Formulation of solid-shell finite elements with large displacements considering different transverse shear strains approximations, Finite Elements in Analysis and Design, vol. 130, 2017, pp. 39–52. https://doi.org/10.1016/j.finel.2017.03.001
9. Eisentrager J., Naumenko K., Altenbach H., Köppe H., Application of the first-order shear deformation theory to the analysis of laminated glasses and photovoltaic panels, International Journal of Mechanical Sciences, vol. 96–97, 2015, pp. 163–171. https://doi.org/10.1016/j.ijmecsci.2015.03.012
10. Zenkour A. M., A comprehensive analysis of functionally graded sandwich plates: Part 1 – Deflection and stresses, International Journal of Solids and Structures, vol. 42, 2005, pp. 5224–5242. https://doi.org/10.1016/j.ijsolstr.2005.02.015
11. Stefan-H. Schulze, Matthias Pander, Konstantin Naumenko, Holm Altenbach, Analysis of laminated glass beams for photovoltaic applications, International Journal of Solids and Structures, vol. 49, 2012, pp. 2027–2036. https://doi.org/10.1016/j.ijsolstr.2012.03.028
12. Arasan U., Marchetti F., Chevillotte F., Jaouen L., Chronopoulos D., Gourdon E., A simple equivalent plate model for dynamic bending stiffness of three-layer sandwich panels with shearing core, Journal of Sound and Vibration, vol. 500, 2021, 116025. https://doi.org/10.1016/j.jsv.2021.116025
13. Mohammad R. Permoon, Touraj Farsadi, Free vibration of three-layer sandwich plate with viscoelastic core modelled with fractional theory, Mechanics Research Communications, vol. 116, 2021, 103766. https://doi.org/10.1016/j.mechrescom.2021.103766
14. Kai Xue, Wenhao Huang, Qiuhong Li, Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts, Materials, 2020, vol. 13, 3113. https://doi.org/10.3390/ma13143113
15. Mengna Han, Zichan Li, Zhicheng Huang, Xingguo Wang and Wenjie Gao, Thermal Mechanical Bending Response of Symmetrical Functionally Graded Material Plates, Materials, 2023, vol. 16, 4683. https://doi.org/10.3390/ma16134683
16. Kerem Ege, N. B. Roozen, Quentin Leclere, R.G. Rinaldi. Assessment of the apparent bending stiffness and damping of multilayer plates; modelling and experiment. Journal of Sound and Vibration, 2018, vol. 426, pp.129–149. https://doi.org/10.1016/j.jsv.2018.04.013
17. Eva Kormanikova, Modal analysis of sandwich panel with composite laminated faces, Vibroengineering procedia, 2019, vol. 23, pp.105–109. https://doi.org/10.21595/vp.2019.20658
18. Michael Koehl, Markus Heck, Stefan Wiesmeier, Jochen Wirth, Modeling of the nominal operating cell temperature based on outdoor weathering, Solar Energy Materials & Solar Cells, vol. 95, 2011, pp. 1638–1646. https://doi.org/10.1016/j.solmat.2011.01.020