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FEA of stress-strain state and vibrations of a three-layer plate

НазваFEA of stress-strain state and vibrations of a three-layer plate
Назва англійськоюFEA of stress-strain state and vibrations of a three-layer plate
АвториIaroslav Lavrenko, Maksym Sushchenko
ПринадлежністьNational Technical University of Ukraine «Ihor Sikorsky Kyiv Polytechnic Institute», Kyiv, Ukraine
Бібліографічний описFEA of stress-strain state and vibrations of a three-layer plate / Iaroslav Lavrenko, Maksym Sushchenko // Scientific Journal of TNTU. — Tern.: TNTU, 2024. — Vol 114. — No 2. — P. 73–88.
Bibliographic description:Lavrenko I., Sushchenko M. (2024) FEA of stress-strain state and vibrations of a three-layer plate. Scientific Journal of TNTU (Tern.), vol 114, no 2, pp. 73–88.
УДК

539.3

Ключові слова

solar panel, sandwich, frequencies, stress, strain, finite element method, ANSYS.

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.

ISSN:2522-4433
Перелік літератури
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5. Foraboschi P., Three-layered sandwich plate: Exact mathematical model, Composites: Part B, vol. 45, 2013, pp. 1601–1612.
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.
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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.
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.
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.
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.
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.
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.
14. Kai Xue, Wenhao Huang, Qiuhong Li, Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts, Materials, 2020, vol. 13, 3113.
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.
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.
17. Eva Kormanikova, Modal analysis of sandwich panel with composite laminated faces, Vibroengineering procedia, 2019, vol. 23, pp.105–109.
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.
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.
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.
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.
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.
5. Foraboschi P., Three-layered sandwich plate: Exact mathematical model, Composites: Part B, vol. 45, 2013, pp. 1601–1612.
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.
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.
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.
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.
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.
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.
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.
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.
14. Kai Xue, Wenhao Huang, Qiuhong Li, Three-Dimensional Vibration Analysis of Laminated Composite Rectangular Plate with Cutouts, Materials, 2020, vol. 13, 3113.
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.
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.
17. Eva Kormanikova, Modal analysis of sandwich panel with composite laminated faces, Vibroengineering procedia, 2019, vol. 23, pp.105–109.
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.
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