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Distributed-parameter Dynamic Modeling and Bifurcation Analysis of a Trapezoidal Piezomagnetoelastic Energy Harvester | ||
| Journal of Applied and Computational Mechanics | ||
| مقاله 9، دوره 8، شماره 1، فروردین 2022، صفحه 97-113 اصل مقاله (3.24 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22055/jacm.2019.30823.1785 | ||
| نویسندگان | ||
| Heshmatallah Mohammad Khanlo1؛ Reza Dehghani* 2 | ||
| 1Department of Aerospace Engineering, Shahid Sattari Aeronautical University of Science and Technology, Tehran, 13846-63113, Iran | ||
| 2Department of Design and Manufacturing Engineering, Graduate University of Advanced Technology, Kerman, 76311-33131, Iran | ||
| چکیده | ||
| In this paper, the effect of the bimorph profile on the nonlinear dynamic behavior and performance of a vibratory piezomagnetoelastic energy harvester is investigated. The proposed model is composed of upper and lower piezoelectric layers on a trapezoidal cantilever beam with one attached tip magnet as well as two external magnets. The magnetic field of two external magnets generates magnetic forces and moment on the tip magnet. The bimorph structure is considered as a distributed-parameter system, and the external forces are obtained by analyzing the magnetic field of the external magnets. Equations of motion are obtained using electromagnetic Lagrange equations based on the generalized Hamilton principle and the Euler-Bernoulli beam theory. The proposed model for the bimorph and magnetic forces is validated by previously published experimental results. In order to compare the nonlinear behavior of the rectangular and trapezoidal beam profiles, the bifurcation diagrams are depicted for various control parameters such as the separation distances of the magnets, beam root width, and beam tip width. Verification of the bifurcation diagrams is performed by the phase plane portraits and Poincare maps. Also, the harvested power level is compared for different profiles of the bimorph. Moreover, the simultaneous effects of exciting frequency and bifurcation parameters on the system performance are investigated by the waterfall diagrams. The obtained results show that the trapezoidal beam profile with a lower tip width has higher performance than the rectangular beam. In trapezoidal beam profiles, the subharmonic and chaotic motions have relatively higher output powers than periodic motions. | ||
| کلیدواژه‌ها | ||
| Energy harvesting؛ Piezoelectric layers؛ Trapezoidal beam؛ Magnetic field؛ Chaotic | ||
| مراجع | ||
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[1] Erturk, A., Electromechanical modeling of piezoelectric energy harvesters. Blacksburg, Virginia Polytechnic Institute and State University, November 20, 2009.
[2] Roundy, S., Wright, P.K., A piezoelectric vibration based generator for wireless electronics, Smart Materials and Structures, 13, 2004, 1131-1144.
[3] Dutoit, N.E., Wardle, B.L., Kim, S., Design considerations for MEMS-scale piezoelectric mechanical vibration energy harvesters, Integrated Ferroelectrics, 71, 2005, 121-160.
[4] Sodano, H.A., Park, G., Inman, D.J., Estimation of electric charge output for piezoelectric energy harvesting, Strain 40, 2004, 49-58.
[5] Karimi, M., Tikani, R., Ziaei-Rad, S., Mirdamadi, H.R., Experimental and theoretical studies on piezoelectric energy harvesting from low-frequency ambient random vibrations, Proc. IMechE C: J Mechanical Engineering Science, 230(14), 2015, 2363-2375.
[6] De Marqui, C.Jr., Erturk, A., Inman, D.J., An electromechanical finite element model for piezoelectric energy harvester plates, Journal of Sound and Vibration, 327, 2009, 9–25.
[7] Elvin, N.G., Elvin, A.A., A coupled finite element circuit simulation model for analyzing piezoelectric energy generators, Journal of Intelligent Material Systems and Structures, 20, 2009, 587-595.
[8] Giorgio, De.P., Aurelio, S., Nicolò, Z., Design, Simulation, and Testing of Energy Harvesters With Magnetic Suspensions for the Generation of Electricity From Freight Train Vibrations, Journal of Computational and Nonlinear Dynamics, 7(4), 2012, 041011.
[9] Erturk, A., Inman, D.J., Issues in mathematical modeling of piezoelectric energy harvesters, Smart Materials and Structures, 17, 2008, 0650016.
[10] Erturk, A., Inman, D.J., A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters, Journal of Vibration and Acoustics, 130, 2008, 041002.
[11] Erturk, A., Inman, D.J., An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations, Smart Materials and Structures, 18, 2009, 025009.
[12] Mann, B.P., Sims, N.D., Energy harvesting from the nonlinear oscillations of magnetic levitation, Journal of Sound and Vibration, 319, 2009, 515–30.
[13] Zhao, S., Erturk, A., Electroelastic modeling and experimental validations of piezoelectric energy harvesting from broadband random vibrations of cantilevered bimorphs, Smart Materials and Structures, 22, 2013, 015002.
[14] Abdelmoula, H., Zimmerman, S., Abdelkefi A., Accurate modeling, comparative analysis and performance enhancement of broadband piezoelectric energy harvesters with single and dual magnetic forces, International Journal of Non-Linear Mechanics, 95, 2017, 355-363.
[15] Stanton, S.C., McGehee, C.C., Mann, B.P., Nonlinear dynamics for broadband energy harvesting: Investigation of a bistable piezoelectric inertial generator, Journal of Physics D, 239, 2010, 640-653.
[16] Firoozy, P., Khadem, S.E., Pourkiaee, S.M., Broadband energy harvesting using nonlinear vibrations magnetopiezoelastic cantilever beam, International Journal of Engineering Science, 111, 2017, 113-133.
[17] Aravind, K., Shaikh Faruque, A., Arockiarajan, A., Influence of Piezoelectric Energy Transfer on the Interwell Oscillations of Multistable Vibration Energy Harvesters, Journal of Computational and Nonlinear Dynamics, 14(3), 2019, 031001.
[18] Cao, J., Zhou, S., Inman, D.J., Nonlinear Dynamic Characteristics of Variable Inclination Magnetically Coupled Piezoelectric Energy Harvesters, Journal of Vibration and Acoustics, 137, 2015, 1-9.
[19] Noll, M.U., Lentz, L., Wagner, U., On the Improved Modeling of the Magnetoelastic Force in a Vibrational Energy Harvesting System, Journal of Vibration Engineering & Technologies, 2019, https://doi.org/10.1007/s42417-019-00134-z.
[20] Ramlan, R., Brennan, M.J., Mace, B.R., Potential benefits of a non-linear stiffness in an energy harvesting device, Nonlinear Dynamics, 59, 2010, 545–58.
[21] Vijayan, K., Friswell, M.I., Haddad, K., Non-linear energy harvesting from coupled impacting beams, International Journal of Mechanical Sciences, 96, 2015, 101–9.
[22] Stanton, S.C., Erturk, A., Mann, B.P., Nonlinear neoconservative behavior and modeling of piezoelectric energy harvesters including proof mass effects, Journal of Intelligent Material Systems and Structures, 23, 2011, 183–199.
[23] Abdelkefi, A., Nayfeh, A.H., Hajj, M.R., Global nonlinear distributed-parameter model of parametrically excited piezoelectric energy harvesters, Nonlinear Dynamics, 67, 2012, 1147–1160.
[24] Geiyer, D., Kauffman, J.L., Chaotification as a Means of Broadband Energy Harvesting with Piezoelectric Materials, Journal of Vibration and Acoustics, 137, 2015, 1–8.
[25] Masana, R., Daqaq, M.F., Relative performance of a vibratory energy harvester in mono- and bi-stable potentials, Journal of Sound and Vibration, 330, 2011, 6036 – 6052.
[26] Daqaq, M.F., Masana, R., Erturk, A., On the Role of Nonlinearities in Vibratory Energy Harvesting: A Critical Review and Discussion, Applied Mechanics Reviews, 66, 2014, 1-23.
[27] Harte, P., Blokhina, E., Feely, O., et al., Electrostatic Vibration Energy Harvesters with Linear and Nonlinear Resonators, International Journal of Bifurcation and Chaos, 24, 2014, 1430030-34.
[28] Khanlo, H.M., Dehghani, R., The effect of distance and dimensions of magnets on nonlinear behavior of piezomagnetoelastic bimorph energy harvester, Journal of Theoretical and Applied Vibration and Acoustics, 4(1), 2018, 37-64.
[29] Xu, M., Li, X., Stochastic averaging for bistable vibration energy harvesting system, International Journal of Mechanical Sciences, 141, 2018, 206-212.
[30] Mokem Fokou, I.S., Nono Dueyou Buckjohn, C., Tchawoua, C., Probabilistic distribution and stochastic P-bifurcation of a hybrid energy harvester under colored noise, Communications in Nonlinear Science and Numerical Simulation, 56, 2018, 177-197.
[31] Deng, H., Du, Y., Wang, Z., Ye, J., Zhang, J., Ma, M. & Zhong, X., Poly-stable energy harvesting based on synergetic multistable vibration, Communications Physics,2(21), 2019. https://doi.org/10.1038/s42005-019-0117-9.
[32] Litak, G., Abadal, G., Rysak, A., Przywara, H., Complex dynamics of a bistable electrically charged microcantilever: Transition from single well to cross well oscillations, Chaos, Solitons & Fractals, 99, 2017, 85-90.
[33] Benasciutti, D., Moro, L., Zelenika, S., Brusa, E., Vibration energy scavenging via piezoelectric bimorphs of optimized shapes, Microsystem Technologies, 16, 2010, 657–668.
[34] Ben Ayed, S., Abdelkefi, A., Naja, F.R., Hajj, M., Design and performance of variable-shaped piezoelectric energy harvesters, Journal of Intelligent Material Systems and Structures, 25, 2014, 174–186.
[35] Biswal, A.R., Roy, T., Behera, R.K., Genetic algorithm-and finite element-based design and analysis of nonprismatic piezolaminated beam for optimal vibration energy harvesting, Proc. IMechE C: J Mechanical Engineering Science, 230(14), 2015, 2532-2548.
[36] Xie, X.D., Carpinteri, A., Wang, Q., A theoretical model for a piezoelectric energy harvester with a tapered shape, Engineering Structures, 144, 2017, 19-25.
[37] Erturk, A., Inman, D.J., Piezoelectric Energy Harvesting, Ltd. Publication, John Wiley and Sons, 2011.
[38] Griffiths, D.J., Introduction to Electrodynamics, 4th ed. Ltd., Publication, Prentice Hall, 2013.
[39] Kim, P., Seok, J., A multi stable energy harvester: Dynamic modeling and bifurcation analysis, Journal of Sound and Vibration, 333, 2014, 5525–5547.
[40] Yong, K., Landecker, P., Villani, D., An analytic solution for the force between two magnetic dipoles, Magnetic and Electrical Separation, 9, 1998, 39-52.
[41] Nayfeh, A.H., Pai, P.F., Linear and Nonlinear Structural Mechanics, Wiley Series in Nonlinear Science. Wiley, New York, 2004.
[42] Stanton, S.C., Erturk, A., Mann, B.P., Inman, D.J., Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification, Journal of Applied Physics, 108, 2010, 074903-9. | ||
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