The increasing electrical response of piezoelectric nonlinear plate in harmonic excitation with strain nodes

Jabbari, Majid

doi:10.22061/jcarme.2025.11355.2492

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	The increasing electrical response of piezoelectric nonlinear plate in harmonic excitation with strain nodes
Journal of Computational & Applied Research in Mechanical Engineering (JCARME)
مقاله 8، دوره 14، شماره 2 - شماره پیاپی 28، فروردین 2025، صفحه 285-300 اصل مقاله (1.18 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22061/jcarme.2025.11355.2492
نویسنده
Majid Jabbari^*
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran
تاریخ دریافت: 22 مهر 1403، تاریخ بازنگری: 22 تیر 1404، تاریخ پذیرش: 11 مرداد 1404
چکیده
Electrical energy can be harvested from the vibrations of piezoelectric plates. The behavior of the piezoelectric plate is simulated using electromechanical coupling. Given the large strain experienced by the flexible plate, the linear theory is inadequate; therefore, the effect of Von Karman strain must be considered. This paper investigates and validates the vibrational behavior of a piezoelectric nonlinear plate. Specifically, it employs coupled equations for a multilayered plate, incorporates Von Karman’s nonlinear strain, and applies Mindlin’s first-order shear deformation theory. The electrical response is obtained through finite element analysis of the piezoelectric nonlinear plate in Matlab. Different boundary conditions are considered to verify the results, including clamped edges, simply supported edges, and a combination of two simply supported and two clamped edges. The electrical response of the open-circuit case under harmonic excitation is presented. Furthermore, the phenomenon of voltage cancellation during plate vibrations is studied, and a method for enhancing energy harvesting performance using separated electrodes is proposed. The results indicate that, across all cases, the voltage response with a continuous electrode is lower than with segmented electrodes at the first natural frequency.
کلیدواژه‌ها
Multilayered؛ Plate؛ Mindlin؛ Theory؛ Harvesting

مراجع
[1] E. Hausler, L. Stein, and G. Harbauer, “Implantable physiological power supply with PVDF film”, J. Ferroelectrics, Vol. 60, No. 1, pp. 277–282, (1984). [2] M. Lallart, S.R Anton, DJ. Inman, “Frequency self-tuning scheme for broadband vibration energy harvesting”, J. Intell. Mater. Syst. Struct., Vol. 21, No. 9, pp. 897–906, (2010). [3] A. Erturk, D.J. Inman, “Assumed-modes formulation of piezoelectric energy harvesters: euler-bernoulli, rayleigh and timoshenko models with axial deformations”, Proceedings of the ASME, ESDA 10th Biennial Conference on Engineering Systems, Design and Analysis, (2010). [4] A. Erturk, D. Inman, “Piezoelectric energy harvesting”, John Wiley & Sons, (2011). [5] A. Erturk, Electromechanical modelling of piezoelectric energy harvesters. Dissertation, PhD thesis, Virginia Polytechnic Institute and State University, (2009). [6] M. Jabbari, M. Ghayour and H.R. Mirdamadi, “Energy harvesting of a multilayer piezoelectric beam in resonance and off-resonance cases”, J. Eng. Mater. Technol., Vol. 139, No.3,pp. 031008, (2017). [7] M. Kogl and M.L. Bucalem, “Analysis of smart laminates using piezoelectric MITC plate and shell elements”, J. Comput. Struct., Vol. 83, No. 15, pp. 1163-1153, (2005). [8] C, Bendigeri, R. Tomar, S. Basavaraju and K. Arasukumar, “Detailed formulation and programming method for piezoelectric finite element”, Int. J. Pure Appl. Sci. Technol, Vol. 7, No. 1, pp. 1-21, (2011). [9] G. Sebald, H. Kuwano and D. Guyomar, “Experimental duffing oscillator for broadband piezoelectric energy harvesting”, J. Smart Mater. Struct., Vol. 20, No. 10, pp. 1–10, (2011). [10] V. Piefor and, A. Preumont, “Modeling of smart piezoelectric structures with finite elements”, ISMA25, 25th International Conference on Noise and Vibration Engineering, Leuven, Belgium, (2000). [11] A. Erturk and D. Inman, “Broadband piezoelectric power generation on high-energy orbits of the bistable duffing oscillator with electromechanical coupling”, J. Sound Vib., Vol. 330, No. 10, pp. 2339–2353, (2011). [12] D. Van, P. Dealmeida and S. Vander Zwaag, “Piezoelectric and mechanical properties of novel composites of PZT and a liquid crystalline thermosetting resin”, J. Mater Sci., Vol. 42, pp. 6417–6425, (2007). [13] P. Brian and S. Senthil, “Active vibration suppression of sandwich beams using piezoelectric shear actuators: experiments and numerical simulations”, J. Intell. Mater. Syst. Struct., Vol. 16, No. 6, pp. 518-521, (2005). [14] M. Jabbari, M. Ghayour and H.R. Mirdamadi, “Experimental and numerical results of dynamics behavior of a nonlinear piezoelectric beam”, J. Mech. Adv. Mater. Struct., Vol. 23, No. 8, pp. 853-864, (2015). [15] T. Ng and W. Liao, “Sensitivity analysis and energy harvesting for a self-powered piezoelectric sensor”, J. Intell. Mater. Syst. Struct., Vol. 16, No.10, pp. 785–797, (2005). [16] A. Lazarus, O. Thomas and J. Deu, “Finite element reduced order models for nonlinear vibration of piezoelectric layered beams with applications to NEMS”, J. Finite Elem. Anal. Des., Vol. 49, No. 1, pp. 51-35, (2012). [17] No. 0119620, Multistage force amplification of piezoelectric stacks, T. Xu, E. Siochi, L. Zuo, X. Jiang and JH. Kang, (2012). [18] T. Xu, J. Emilie, J. Kang, L. Zuo, W. Zhou, X. Tang and X. Jiang, “Energy harvesting using a PZT ceramic multilayer stack”, J. Struct., Vol. 22, No. 6, pp. 065015, (2013). [19] M. Kaltenbacher, “Finite element formulation for ferroelectric hysteresis of piezoelectric materials”, J. Intell. Mater. Syst. Struct., Vol. 21, No. 8, pp. 773–785, (2010). [20] C, Yudong and Y. Bintang, “Non-linear modelling of multilayer piezoelectric actuators in non-trivial configurations based on actuator design parameters and piezoelectric material properties”, Intell. Mater. Syst. Struct., Vol. 23, No. 8, pp. 875–884, (2012). [21] M. Jabbari, “The effect of strain nodes on the energy harvesting of the cantilever piezoelectric beam with the vibration mode excitation”, Modares Mechanical Engineering, Vol. 17, No. 10, pp. 65-72, (2017). [22] N. Kong, D.S. Ha, A. Erturk and D. Inman, “Resistive impedance matching circuit for piezoelectric energy harvesting”, J. Intell. Mater. Syst. Struct, Vol. 21, No. 13, pp. 293–302, (2010). [23] T. Xu, L. Tolliver, X. Jiang and J. Su, “A single crystal lead magnesium niobate-lead titanate multilayer-stacked cryogenic flextensional actuator”, J. Appl. Phys. Lett, Vol. 102, No. 4, pp. 042906, (2013). [24] S. Nurettin and K. Muammer, “A comprehensive review on the state-of-the-art of piezoelectric energy harvesting”, J. Nano Energy, Vol. 80, No. 105567, (2021). [25] Z. Xiaotian, H. Lipeng, W. Shuangjian , L. Xuejin, L. Renwen and C. Guangming, “A review of piezoelectric energy harvesters for harvesting wind energy”, J. Sens. Actuators, A., Vol. 352, No. 5, pp. 114190, (2023). [26] J. Han, S.H. Park, and Y.S. Jung, “High-performance piezoelectric energy harvesting in amorphous perovskite thin films deposited directly on a plastic substrate”, J. Nat Commun., Vol. 15, No.1, pp. 4129, (2024). [27] A. Givois, C. Giraud-Audine, JF. Deü, “Experimental analysis of nonlinear resonances in piezoelectric plates with geometric nonlinearities”, Nonlinear Dyn, Vol. 102, No. 1, pp. 1451–1462, (2020). [28] A. Shariati, S.H.S. Hosseini, F. Ebrahimi, “Nonlinear dynamics and vibration of reinforced piezoelectric scale-dependent plates as a class of nonlinear Mathieu–Hill systems: parametric excitation analysis”, Engineering with Computers, Vol. 37, No. 1, pp. 2285–2301, (2021). [29] H. Kuok, M. Stewart, A. Atanas and H.J Colin, “ Performance of a cantilever piezoelectric energy harvester impacting bump stop”, J. Sound Vib., Vol. 330, No. 25, pp. 6184-6202, (2011). [30] S. Beeby, M. Tudor and N. White, “Energy harvesting vibration sources for microsystems applications”, J. Meas. Sci. Technol., Vol. 17, No. 12, pp. 175–195, (2006). [31] O. Zienkiewicz, The Finite Element Method, McGRAW-HILL Book Company, (1979).
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The increasing electrical response of piezoelectric nonlinear plate in harmonic excitation with strain nodes