Abstract
This chapter presents the results of computer simulations of the system of energy harvesting from vibrating mechanical devices. Detailed model tests were carried out for the system of cantilever beams coupled with elastic elements. The end of one vibrating element is loaded with a permanent magnet, which defines a non-linear potential characteristic with the fixed permanent magnets mounted in the housing. Based on the formulated linear mathematical model, the surfaces representing the sensitivity of the system were drawn with regard to its selected parameters. However, in relation to the non-linear system, the results of model tests were presented in the form of an indicator characterizing the efficiency of energy generation. The RMS value of the voltage induced on the piezoelectric electrodes was adopted as an indicator. The method of bond graphs was used to derive mathematical models. The system of equations achieved in this systematic way is elegant and clearly formed, which also induces its correctness. The obtained results of computer simulations indicate that the effective energy harvesting in a non-linear system is almost double that of a linear one.
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References
Zhang, Z., Xiang, H., Shi, Z., Zhan, J.: Experimental investigation on piezoelectric energy harvesting from vehiclebridge coupling vibration. Energy Convers. Manage. 163, 169–179 (2018)
Friswell, M.I., Ali, S.F., Bilgen, O., Adhikari, S., Lees, A.W., Litak, G.: Non-linear piezoe-lectric vibration energy harvesting from a vertical cantilever beam with tip mass. J. Intell. Mater. Syst. Struct. 23, 1505–1521 (2012)
Kim, P., Yoon, Y.J., Seok, J.: Nonlinear dynamic analyses on a magnetopiezoelastic energy harvester with reversible hysteresis. J. Nonlinear Dyn. 83, 182–1854 (2016)
Mitcheson, P.D., Miao, P., Stark, B.H., Yeatman, E.M., Holmes, A.S., Green, T.C.: Mems electrostatic micropower generator for low frequency operation. Sens. Actuators, A 115, 523–529 (2004)
Kim, Y.S.: Analysis of electromotive force characteristics for electromagnetic energy har-vester using ferrofluid. J. Magn. 20, 252–257 (2015)
Shahruz, S.M.: Design of mechanical band-pass filters for energy scavenging. J. Sound Vib. 292, 987–998 (2006). https://doi.org/10.1016/j.jsv.2005.08018
Xie, Z., Kitio Kwuimy, C.A., Wang, T., Ding, X., Huang, W.: Theoretical analysis of an impact-bistable piezoelectric energy harwester. Eur. Phys. J. Plus 134, 190 (2019). https://doi.org/10.1140/epjp/i2019-12569-2
Younesian, D., Alam, M.R.: Multi-stable mechanisms for high-efficiency and broadband ocean wave energy harvesting. Appl. Energy 197, 292–302 (2017). https://doi.org/10.1016/j.apenergy.2017.04.019
Huang, D., Zhou, S., Litak, G.: Theoretical analysis of multi-stable energy harvesters with high-order stiffness terms. Commun. Nonlinear Sci. Numer. Simulat. 69, 270–286 (2019). https://doi.org/10.1016/j.cnsns.2018.09.025
Litak, G., Friswell, M.I., Kitio Kwuimy, C.A., Adhikari, S., Borowiec, M.: Energy harvesting by two magnetopiezoelastic oscillators with mistuning. Theor. Appl. Mech. Lett. 2, 043009 (2012)
Granados, A.: Invariant manifolds and the parametrization method in coupled energu harvesting piezoelectric oscillators. Physica D 351–352, 14–29 (2017). https://doi.org/10.1016/j.physd.2017.04.003
Kim, I.H., Jung, H.J., Lee, B.M., Jang, S.J.: Broadband energy-harvesting using a two degree-of-freedom vibrating body. Appl. Phys. Lett. 98, 214102 (2011). https://doi.org/10.1063/1.3595278
Kadjie, A.N., Woafo, P.: Effects of springs on a pendulum electromechanical energy harwester. Theor. Appl. Mech. Lett. 4, 063001 (2014)
Malaji, P.V., Ali, S.F., Adhikari, S., Friswell, M.I.: Analysis of harvesting energy from mistuned multiple harvesters with and without coupling. Procedia Eng. 144, 621–628 (2016)
Kumar, R., Gupta, S., Ali, S.F.: Energy harvesting from chaos in base excited double pen-dulum. Mech. Syst. Signal Process. 124, 49–64 (2019)
Acknowledgements
This work was supported by the program of the Ministry of Science and Higher Education in Poland under the project
DIALOG 0019/DLG/2019/10 in the years 2019–2021.
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Margielewicz, J., Gąska, D., Litak, G., Haniszewski, T. (2022). Application of Bond Graphs in Modelling of the Energy Harvesting Systems from Vibrating Mechanical Devices. In: Zawiślak, S., Rysiński, J. (eds) Graph-Based Modelling in Science, Technology and Art. Mechanisms and Machine Science, vol 107. Springer, Cham. https://doi.org/10.1007/978-3-030-76787-7_1
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