Nonlinear dynamic analysis of a reciprocative magnetic coupling on performance of piezoelectric energy harvester interfaced with DC circuit

References

• R. Mohamed, M.R. Sarker, and A. Mohamed, An optimization of rectangular shape piezoelectric energy harvesting cantilever beam for micro devices, JAE., vol. 50, no. 4, pp. 537–548, 2016. DOI: 10.3233/JAE-150129.
   Google Scholar
• R. Patel, S. McWilliam, and A.A. Popov, A geometric parameter study of piezoelectric coverage on a rectangular cantilever energy harvester, Smart Mater. Struct., vol. 20, no. 8, pp. 085004, 2011. DOI: 10.1088/0964-1726/20/8/085004.
   Web of Science ®Google Scholar
• A. Erturk and D.J. 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. DOI: 10.1016/j.jsv.2010.11.018.
   Web of Science ®Google Scholar
• M. Ferrari, et al., Improved energy harvesting from wideband vibrations by nonlinear piezoelectric converters, Sens. Actuators A-Phys., vol. 162, no. 2, pp. 425–431, 2010. DOI: 10.1016/j.sna.2010.05.022.
   Web of Science ®Google Scholar
• R.L. Harne and K.W. Wang, A review of the recent research on vibration energy harvesting via bistable systems, Smart Mater. Struct., vol. 22, no. 2, pp. 023001, 2013. DOI: 10.1088/0964-1726/22/2/023001.
   Web of Science ®Google Scholar
• M.F. Daqaq, et al., On the role of nonlinearities in vibratory energy harvesting: a critical review and discussion, Appl. Mech. Rev., vol. 66, no. 4, 2014. DOI: 10.1115/1.4026278.
   Web of Science ®Google Scholar
• K. Vijayan, et al., Non-linear energy harvesting from coupled impacting beams, Int. J. Mech. Sci., vol. 96-97, pp. 101–109, 2015. DOI: 10.1016/j.ijmecsci.2015.03.001.
   Web of Science ®Google Scholar
• M. Rezaei, S.E. Khadem, and P. Firoozy, Broadband and tunable PZT energy harvesting utilizing local nonlinearity and tip mass effects, Int. J. Eng. Sci., vol. 118, pp. 1–15, 2017. DOI: 10.1016/j.ijengsci.2017.04.001.
   Web of Science ®Google Scholar
• S.C. Stanton, C.C. McGehee, and B.P. Mann, Reversible hysteresis for broadband magnetopiezoelastic energy harvesting, Appl. Phys. Lett., vol. 95, no. 17, pp. 174103, 2009. DOI: 10.1063/1.3253710.
   Web of Science ®Google Scholar
• C.C. Lan, et al., Equivalent impedance and power analysis of monostable piezoelectric energy harvesters, J. Intell. Mater. Syst. Struct., vol. 31, no. 14, pp. 1697–1715, 2020. DOI: 10.1177/1045389X20930080.
   Web of Science ®Google Scholar
• S.C. Stanton, C.C. McGehee, and B.P. Mann, Nonlinear dynamics for broadband energy harvesting: investigation of a bistable piezoelectric inertial generator, Phys. D., vol. 239, no. 10, pp. 640–653, 2010. DOI: 10.1016/j.physd.2010.01.019.
   Web of Science ®Google Scholar
• J. Cao, et al., Nonlinear dynamic characteristics of variable inclination magnetically coupled piezoelectric energy harvesters, J. Vib. Acoust., vol. 137, no. 2, 2015. DOI: 10.1115/1.4029076.
   Web of Science ®Google Scholar
• B. Yan, S.X. Zhou, and G. Litak, Nonlinear analysis of the tristable energy harvester with a resonant circuit for performance enhancement, Int. J. Bifurcation Chaos., vol. 28, no. 07, pp. 1850092, 2018. DOI: 10.1142/S021812741850092X.
   Google Scholar
• D.M. Huang, S.X. Zhou, and G. Litak, Analytical analysis of the vibrational tristable energy harvester with a RL resonant circuit, Nonlin. Dyn., vol. 97, no. 1, pp. 663–677, 2019. DOI: 10.1007/s11071-019-05005-6.
   Web of Science ®Google Scholar
• L. Tang, Y. Yang, and C.K. Soh, Improving functionality of vibration energy harvesters using magnets, J. Intell. Mater. Syst. Struct., vol. 23, no. 13, pp. 1433–1449, 2012. DOI: 10.1177/1045389X12443016.
   Web of Science ®Google Scholar
• S. Zhou, et al., Broadband tristable energy harvester: modeling and experiment verification, Appl. Energy, vol. 133, pp. 33–39, 2014. DOI: 10.1016/j.apenergy.2014.07.077.
   Web of Science ®Google Scholar
• N. Kong, et al., Resistive impedance matching circuit for piezoelectric energy harvesting, J. Intell. Mater. Syst. Struct., vol. 21, no. 13, pp. 1293–1302, 2010. DOI: 10.1177/1045389X09357971.
   Web of Science ®Google Scholar
• W.Q. Liu, et al., Wideband energy harvesting using a combination of an optimized synchronous electric charge extraction circuit and a bistable harvester, Smart Mater. Struct., vol. 22, no. 12, pp. 125038, 2013. DOI: 10.1088/0964-1726/22/12/125038.
   Web of Science ®Google Scholar
• Y.C. Shu and I.C. Lien, Analysis of power output for piezoelectric energy harvesting systems, Smart Mater. Struct., vol. 15, no. 6, pp. 1499–1512, 2006. DOI: 10.1088/0964-1726/15/6/001.
   Web of Science ®Google Scholar
• C.J. Rupp, M.L. Dunn, and K. Maute, Analysis of piezoelectric energy harvesting systems with non-linear circuits using the harmonic balance method, J. Intell. Mater. Syst. Struct., vol. 21, no. 14, pp. 1383–1396, 2010. DOI: 10.1177/1045389X10384167.
   Web of Science ®Google Scholar
• S. Zhou, et al., Exploitation of a tristable nonlinear oscillator for improving broadband vibration energy harvesting, Eur. Phys. J. Appl. Phys., vol. 67, no. 3, pp. 30902, 2014. DOI: 10.1051/epjap/2014140190.
   Web of Science ®Google Scholar
• H.-X. Zou, et al., A broadband compressive-mode vibration energy harvester enhanced by magnetic force intervention approach, Appl. Phys. Lett., vol. 110, no. 16, pp. 163904, 2017. DOI: 10.1063/1.4981256.
   Web of Science ®Google Scholar
• L. Tang and Y. Yang, A nonlinear piezoelectric energy harvester with magnetic oscillator, Appl. Phys. Lett., vol. 101, no. 9, pp. 094102, 2012. DOI: 10.1063/1.4748794.
   Web of Science ®Google Scholar
• D. Upadrashta, Y. Yang, and L. Tang, Material strength consideration in the design optimization of nonlinear energy harvester, J. Intell. Mater. Syst. Struct., vol. 26, no. 15, pp. 1980–1994, 2015. DOI: 10.1177/1045389X14546651.
   Web of Science ®Google Scholar
• S. Timoshenko and S.W. Krieger, editors, Theory of Plates and Shells, McGraw-Hill, New York, 1959.
   Google Scholar
• A. Erturk and D.J. Inman, A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters, J. Vib. Acoust., vol. 130, no. 4, pp. 041002, 2008. DOI: 10.1115/1.2890402.
   Web of Science ®Google Scholar
• A. Erturk and D.J. Inman, Piezoelectric Energy Harvesting, John Wiley & Sons, Chichester, West Sussex, United Kingdom, 2011.
   Google Scholar
• S. Leadenham, Advanced Concepts in Nonlinear Piezoelectric Energy Harvesting: Intentionally Designed, Inherently Present, and Circuit Nonlinearities, Georgia Institute of Technology, Atlanta Georgia, USA, 2015.
   Google Scholar
• D. Vokoun, et al., Magnetostatic interactions and forces between cylindrical permanent magnets, J. Magn. Magn. Mater., vol. 321, no. 22, pp. 3758–3763, 2009. DOI: 10.1016/j.jmmm.2009.07.030.
   Web of Science ®Google Scholar
• G. Sebald, et al., Simulation of a Duffing oscillator for broadband piezoelectric energy harvesting, Smart Mater. Struct., vol. 20, no. 7, pp. 075022, 2011. DOI: 10.1088/0964-1726/20/7/075022.
   Web of Science ®Google Scholar
• I.C. Lien, et al., Revisit of series-SSHI with comparisons to other interfacing circuits in piezoelectric energy harvesting, Smart Mater. Struct., vol. 19, no. 12, pp. 125009, 2010. DOI: 10.1088/0964-1726/19/12/125009.
   Web of Science ®Google Scholar
• J.R. Liang and W.H. Liao, On the influence of transducer internal loss in piezoelectric energy harvesting with SSHI interface, J. Intell. Mater. Syst. Struct., vol. 22, no. 5, pp. 503–512, 2011. DOI: 10.1177/1045389X11401447.
   Web of Science ®Google Scholar
• L. Tang, et al., Applicability of synchronized charge extraction technique for piezoelectric energy harvesting, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, Vol. 7977, 2011. DOI: 10.1117/12.880508.
   Google Scholar
• L. Zhao, et al., Enhancement of galloping-based wind energy harvesting by synchronized switching interface circuits, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, vol. 9431, 2015. DOI: 10.1117/12.2084000.
   Google Scholar
• S. Roundy, and P.K. Wright, A piezoelectric vibration based generator for wireless electronics, Smart Mater. Struct., vol. 13, no. 5, pp. 1131–1142, 2004. DOI: 10.1088/0964-1726/13/5/018.
   Web of Science ®Google Scholar
• Y. Yang and L. Tang, Equivalent circuit modeling of piezoelectric energy harvesters, J. Intell. Mater. Syst. Struct., vol. 20, no. 18, pp. 2223–2235, 2009. DOI: 10.1177/1045389X09351757.
   Web of Science ®Google Scholar
• H. Thorsten and M. Yiannos, CMOS Circuits for Piezoelectric Energy Harvesters. 1 ed. Springer Series in Advanced Microelectronics, Springer, Netherlands, XVII, 204, 2015.
   Google Scholar
• Macro Fibre Composite (MFC) data sheet, Available from http://www.smart-material.com/mFc-productmain.html.
   Google Scholar
• M.-G. Kang, et al., Recent progress on PZT based piezoelectric energy harvesting technologies, Actuators, vol. 5, no. 1, pp. 5, 2016. DOI: 10.3390/act5010005.
   Web of Science ®Google Scholar
• S.S. Rao, Mechanical Vibrations, Prentice Hall, Upper Saddle River, 2011.
   Google Scholar
• COMSOL Multiphysics® v. 5.3. Piezoelectric devices module. Available from www.comsol.com. Stockholm, Sweden, 2017.
   Google Scholar
• T. Eggborn, Analytical models to predict power harvesting with piezoelectric materials, Master’s, Thesis, Virginia Polytechnic Institute and State University, 2003.
   Google Scholar
• D. Upadrashta and Y. Yang, Experimental investigation of performance reliability of macro fiber composite for piezoelectric energy harvesting applications, Sens. Actuators, A., vol. 244, pp. 223–232, 2016. DOI: 10.1016/j.sna.2016.04.043.
   Google Scholar
• L. Tang, Y. Yang, and C.K. Soh, Toward broadband vibration-based energy harvesting, J. Intell. Mater. Syst. Struct., vol. 21, no. 18, pp. 1867–1897, 2010. DOI: 10.1177/1045389X10390249.
   Web of Science ®Google Scholar