Nonlinear Vibration of Nanocomposite Multilayer Perovskite Solar Cell in Thermal Environment
Main Article Content
Abstract
In this work we investigated the nonlinear vibration of nanocomposite multilayer perovskite solar cell (NMPSC) subjected to the combination of mechanical and thermal loadings. The model of organic solar cell is assumed to consist seven functional layers: Au, Spiro-OMeTAD, PEDOT:PSS, Graphene oxide, MAPbI3, TiO2 and IOT, and glass substrate. The governing equations are established basing on the classical plate theory taking into account the effect of elastic foundations and initial imperfection. Four edges of the NMPSC are assumed to be supported immovably in a transverse plane. The relationship between deflection amplitude and time as well as the expression of natural frequency of NMPSC are obtained by using the Galerkin and Runge – Kutta methods. The numerical results showed that the nonlinear dynamic response and the natural frequency of NMPSC have been strongly influenced by the geometrical and material parameters, initial imperfection, temperature increment and elastic foundations.
Keywords: Perovskite solar cell; nonlinear vibration; elastic foundations; initial imperfection; thermal environment
Keywords:
Perovskite solar cell; nonlinear vibration; elastic foundations; initial imperfection; thermal environment.
References
[1] C. Wu, Y. Huang, S. Wang, X. Miao, R. Ma, C. Wang, Phytate Modifies The Hole Transport Layer and Assists in Blade Coating to Prepare Efficient Perovskite Solar Cells, Solar Energy, Vol. 203, 2020, pp. 25-31, https://doi.org/10.1016/j.solener.2020.03.086.
[2] B. Ding, X. Zhao, S. Wang, X. Shan, Z. Chen, Z. Deng, et al, Mechanism of Improving The Performance of Perovskite Solar Cells Through Alkali Metal Bis(trifluoromethanesulfonyl)imide Modifying Mesoporous Titania Electron Transport Layer, Journal of Power Sources, Vol. 484, 2021, pp. 229275, https://doi.org/10.1016/j.jpowsour.2020.229275.
[3] G. Sfyri, C. V. Kumar, D. Raptis, V. Dracopoulos, P. Lianos, Study of Perovskite Solar Cells Synthesized under Ambient Conditions and of The Performance of Small Cell Modules, Solar Energy Materials and Solar Cells,
Vol. 134, 2015, pp. 60-63, https://doi.org/10.1016/j.solmat.2014.11.034.
[4] T. Xu, K. Zou, X. Sun, Z. Wan, H. Tang, Y. Zhang, et al, Effect of Antisolvent Treatment on PbI2 Films for High Performance Carbon-based Perovskite Solar Cells, Materials Letters, Vol. 275, 2020, pp. 128157, https://doi.org/10.1016/j.matlet.2020.128157.
[5] X. Wang, Y. Fang, L. He, Q. Wang, T. Wu, Influence of Compact TiO2 Layer on The Photovoltaic Characteristics of The Organometal Halide Perovskite-based Solar Cells, Materials Science in Semiconductor Process, Vol. 27, 2014, pp. 569-576, https://doi.org/10.1016/j.mssp.2014.07.039.
[6] N. D. Dat, V. M. Anh, T. Q. Quan, P. T. Duc, N. D. Duc, Nonlinear Stability and Optimization of Thin Nanocomposite Multilayer Organic Solar Cell Using Bees Algorithm, Thin-Walled Structures, Vol. 149, 2020,
pp. 106520. https://doi.org/10.1016/j.tws.2019.106520.
[7] S. Han, H. Zhang, R. Wang, Q. He, Research Progress of Absorber Film of Inorganic Perovskite Solar Cells: Fabrication Techniques and Additive Engineering in Defect Passivation, Materials Science in Semiconductor Process, Vol. 127, 2021, pp. 105666, https://doi.org/10.1016/j.mssp.2021.105666.
[8] C. Li, H. S. Shen, H. Wang, Z. Yu, Large Amplitude Vibration of Sandwich Plates with Functionally Graded Auxetic 3D Lattice Core, International Journal of Mechanical Sciences, Vol. 174, 2020, pp. 105472, https://doi.org/10.1016/j.ijmecsci.2020.105472.
[9] K. M. Liew, A. Alibeigloo, Predicting Bucking and Vibration Behaviors of Functionally Graded Carbon Nanotube Reinforced Composite Cylindrical Panels with Three-dimensional Flexibilities, Composite Structures, Vol. 256, 2021, pp. 113039, https://doi.org/10.1016/j.compstruct.2020.113039.
[10] P. Jafari, Y. Kiani, Free Vibration of Functionally Graded Graphene Platelet Reinforced Plates: A Quasi 3D Shear and Normal Deformable Plate Model, Composite Structures, Vol. 275, 2021, pp. 114409, https://doi.org/10.1016/j.compstruct.2021.114409.
[11] P. M. Phuc, D. T. Manh, N. D. Duc, Free Vibration of Cracked FGM Plates with Variable Thickness Resting on Elastic Foundations, Thin-Walled Structures, Vol. 161, 2021, pp. 107425, https://doi.org/10.1016/j.tws.2020.107425.
[12] N. V. Quyen, N. V. Thanh, T.Q. Quan, N. D. Duc, Nonlinear Forced Vibration of Sandwich Cylindrical Panel with Negative Poisson’s Ratio Auxetic Honeycombs Core and CNTRC Face Sheets, Thin-Walled Structures, Vol. 162, 2021, pp. 107571, https://doi.org/10.1016/j.tws.2021.107571.
[13] M. W. Teng, Y. Q. Wang, Nonlinear Forced Vibration of Simply Supported Functionally Graded Porous Nanocomposite Thin Plates Reinforced with Graphene Platelets, Thin-Walled Structures, Vol. 164, 2021,
pp. 107799, https://doi.org/10.1016/j.tws.2021.107799.
[14] E. Askari, K. H. Jeong, K. H. Ahn, M. Amabili, A Mathematical Approach to Study Fluid-coupled Vibration of Eccentric Annular Plates, Journal of Fluids and Structures, Vol. 98, 2020, pp. 103129, https://doi.org/10.1016/j.jfluidstructs.2020.103129.
[15] M. Vinyas, D. Harursampath, S. C. Kattimani, On Vibration Analysis of Functionally Graded Carbon Nanotube Reinforced Magneto-electro-elastic Plates with Different Electro-magnetic Conditions Using Higher Order Finite Element Methods, Defence Technology, Vol. 17, 2021, pp. 287-303, https://doi.org/10.1016/j.dt.2020.03.012.
[16] M. Avey, N. Fantuzzi, A. H. Sofiyev, N. Kuruoglu, Nonlinear Vibration of Multilayer Shell-type Structural Elements with Double Curvature Consisting of CNT Patterned Layers within Different Theories, Composite Structures, Vol. 275, 2021, pp. 114401, https://doi.org/10.1016/j.compstruct.2021.114401.
[17] M. R. Permoon, T. Farsadi, Free Vibration of Three-layer Sandwich Plate with Viscoelastic Core Modelled with Fractional Theory, Mechanics Research Communications, Vol. 116, 2021, pp. 103766, https://doi.org/10.1016/j.mechrescom.2021.103766.
[18] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Boca Raton: CRC Press, Florida, 2004.
[19] N. D. Duc, T. Q. Quan, P. H. Cong, Nonlinear Vibration of Auxetic Plates and Shells, Vietnam National University Press, Hanoi, 2021.
[2] B. Ding, X. Zhao, S. Wang, X. Shan, Z. Chen, Z. Deng, et al, Mechanism of Improving The Performance of Perovskite Solar Cells Through Alkali Metal Bis(trifluoromethanesulfonyl)imide Modifying Mesoporous Titania Electron Transport Layer, Journal of Power Sources, Vol. 484, 2021, pp. 229275, https://doi.org/10.1016/j.jpowsour.2020.229275.
[3] G. Sfyri, C. V. Kumar, D. Raptis, V. Dracopoulos, P. Lianos, Study of Perovskite Solar Cells Synthesized under Ambient Conditions and of The Performance of Small Cell Modules, Solar Energy Materials and Solar Cells,
Vol. 134, 2015, pp. 60-63, https://doi.org/10.1016/j.solmat.2014.11.034.
[4] T. Xu, K. Zou, X. Sun, Z. Wan, H. Tang, Y. Zhang, et al, Effect of Antisolvent Treatment on PbI2 Films for High Performance Carbon-based Perovskite Solar Cells, Materials Letters, Vol. 275, 2020, pp. 128157, https://doi.org/10.1016/j.matlet.2020.128157.
[5] X. Wang, Y. Fang, L. He, Q. Wang, T. Wu, Influence of Compact TiO2 Layer on The Photovoltaic Characteristics of The Organometal Halide Perovskite-based Solar Cells, Materials Science in Semiconductor Process, Vol. 27, 2014, pp. 569-576, https://doi.org/10.1016/j.mssp.2014.07.039.
[6] N. D. Dat, V. M. Anh, T. Q. Quan, P. T. Duc, N. D. Duc, Nonlinear Stability and Optimization of Thin Nanocomposite Multilayer Organic Solar Cell Using Bees Algorithm, Thin-Walled Structures, Vol. 149, 2020,
pp. 106520. https://doi.org/10.1016/j.tws.2019.106520.
[7] S. Han, H. Zhang, R. Wang, Q. He, Research Progress of Absorber Film of Inorganic Perovskite Solar Cells: Fabrication Techniques and Additive Engineering in Defect Passivation, Materials Science in Semiconductor Process, Vol. 127, 2021, pp. 105666, https://doi.org/10.1016/j.mssp.2021.105666.
[8] C. Li, H. S. Shen, H. Wang, Z. Yu, Large Amplitude Vibration of Sandwich Plates with Functionally Graded Auxetic 3D Lattice Core, International Journal of Mechanical Sciences, Vol. 174, 2020, pp. 105472, https://doi.org/10.1016/j.ijmecsci.2020.105472.
[9] K. M. Liew, A. Alibeigloo, Predicting Bucking and Vibration Behaviors of Functionally Graded Carbon Nanotube Reinforced Composite Cylindrical Panels with Three-dimensional Flexibilities, Composite Structures, Vol. 256, 2021, pp. 113039, https://doi.org/10.1016/j.compstruct.2020.113039.
[10] P. Jafari, Y. Kiani, Free Vibration of Functionally Graded Graphene Platelet Reinforced Plates: A Quasi 3D Shear and Normal Deformable Plate Model, Composite Structures, Vol. 275, 2021, pp. 114409, https://doi.org/10.1016/j.compstruct.2021.114409.
[11] P. M. Phuc, D. T. Manh, N. D. Duc, Free Vibration of Cracked FGM Plates with Variable Thickness Resting on Elastic Foundations, Thin-Walled Structures, Vol. 161, 2021, pp. 107425, https://doi.org/10.1016/j.tws.2020.107425.
[12] N. V. Quyen, N. V. Thanh, T.Q. Quan, N. D. Duc, Nonlinear Forced Vibration of Sandwich Cylindrical Panel with Negative Poisson’s Ratio Auxetic Honeycombs Core and CNTRC Face Sheets, Thin-Walled Structures, Vol. 162, 2021, pp. 107571, https://doi.org/10.1016/j.tws.2021.107571.
[13] M. W. Teng, Y. Q. Wang, Nonlinear Forced Vibration of Simply Supported Functionally Graded Porous Nanocomposite Thin Plates Reinforced with Graphene Platelets, Thin-Walled Structures, Vol. 164, 2021,
pp. 107799, https://doi.org/10.1016/j.tws.2021.107799.
[14] E. Askari, K. H. Jeong, K. H. Ahn, M. Amabili, A Mathematical Approach to Study Fluid-coupled Vibration of Eccentric Annular Plates, Journal of Fluids and Structures, Vol. 98, 2020, pp. 103129, https://doi.org/10.1016/j.jfluidstructs.2020.103129.
[15] M. Vinyas, D. Harursampath, S. C. Kattimani, On Vibration Analysis of Functionally Graded Carbon Nanotube Reinforced Magneto-electro-elastic Plates with Different Electro-magnetic Conditions Using Higher Order Finite Element Methods, Defence Technology, Vol. 17, 2021, pp. 287-303, https://doi.org/10.1016/j.dt.2020.03.012.
[16] M. Avey, N. Fantuzzi, A. H. Sofiyev, N. Kuruoglu, Nonlinear Vibration of Multilayer Shell-type Structural Elements with Double Curvature Consisting of CNT Patterned Layers within Different Theories, Composite Structures, Vol. 275, 2021, pp. 114401, https://doi.org/10.1016/j.compstruct.2021.114401.
[17] M. R. Permoon, T. Farsadi, Free Vibration of Three-layer Sandwich Plate with Viscoelastic Core Modelled with Fractional Theory, Mechanics Research Communications, Vol. 116, 2021, pp. 103766, https://doi.org/10.1016/j.mechrescom.2021.103766.
[18] J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, Boca Raton: CRC Press, Florida, 2004.
[19] N. D. Duc, T. Q. Quan, P. H. Cong, Nonlinear Vibration of Auxetic Plates and Shells, Vietnam National University Press, Hanoi, 2021.