Dynamic Behavior and Performance Analysis of Piezoelastic Energy Harvesters Under Model and Parameter Uncertainties
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Abstract
The main goal of this article is to perform a comprehensive analysis of the effects of parameter and model uncertainties on the dynamic behavior of piezoelastic energy harvesters. Piezoelectric energy harvesters demand for optimized mechanical and electric models such that optimum performance can be achieved in the mechanical-to-electrical energy conversion process. The presence of uncertainties can significantly alter the dynamic response of the harvester and therefore affecting its overall performance in terms of the amount of electrical energy available in the conversion process. Euler-Bernoulli beam theory is employed in the formulation of the energy harvesting electromechanical models that account for uncertain parameters in terms of the piezoelectric, electrical, geometric and mechanical boundary condition properties. Extensive numerical analysis are performed in frequency ranges where the device under study present multiple natural frequencies. Numerically simulated results are compared to experimental data reinforcing the importance of accounting for uncertainties in the design process of piezoelectric energy harvesters.
Keywords
Piezoelectric Energy Harvesting Piezoelectric Layer Open Circuit Configuration Equivalent Bending Stiffness Harvesting SystemNotes
Acknowledgements
All the support received from University of Sao Paulo, Brazil and FAPESP (Official funding agency of the state of Sao Paulo) is very much appreciated and recognized.
References
- 1.Ali, S.F., Friswell, M.I., Adhikari, S.: Piezoelectric energy harvesting with parametric uncertainty. Smart Mater. Struct. 19, 1–9 (2010)CrossRefGoogle Scholar
- 2.Clough, R., Penzien, J.: Dynamics of Structures, 3rd edn. Computers & Structures, Berkeley (2003)Google Scholar
- 3.Erturk, A., Inman, D.J.: A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters. ASME J. Vib. Acoust. 130, 1–15 (2008)CrossRefGoogle Scholar
- 4.Erturk, A., Inman, D.J.: An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations. Smart Mater. Struct. 18, 1–18 (2009)CrossRefGoogle Scholar
- 5.Erturk, A., Inman, D.J.: Piezoelectric Energy Harvesting. Wiley, Chichester (2011)CrossRefGoogle Scholar
- 6.Ewins, D.J.: Modal Testing: Theory, Practice and Application. RSP, Baldock (2000)Google Scholar
- 7.Franco, V.R.: Optimization Techniques Applied to Piezoelectric Vibration Energy Harvesting Systems. Ph.D. Dissertation (in Portuguese). University of Sao Paulo, Brazil (2014)Google Scholar
- 8.Franco, V.R., Varoto, P.S.: Parameter uncertainties in the design and optimization of cantilever piezoelectric energy harvesters. Mech. Syst. Signal Process. 93, 593–609 (2017)CrossRefGoogle Scholar
- 9.Godoy, T.C., Trindade, M.A.: Effect of parametric uncertainties on the performance of a piezoelectric energy harvesting device. J. Braz. Soc. Mech. Sci. Eng. 34, 552–560 (2012)Google Scholar
- 10.Hosseinloo, A.H., Turitsyn, K.: Design of vibratory energy harvesters under stochastic parametric uncertainty: a new optimization philosophy. Smart Mater. Struct. 25, 1–9 (2016)CrossRefGoogle Scholar
- 11.Ibrahim, R.A., Petit, C.L.: Uncertainties and dynamic problems of bolted joints and other fasteners. J. Sound Vib. 279, 857–936 (2005)CrossRefGoogle Scholar
- 12.Kadankan, R., Karami, M.A.: Uncertainty analysis of energy harvesting systems. In: Proceedings of the ASME 2014 International Design Engineering Technical Conference & Computers and Information in Engineering Conference – IDETC/CIE, vol. 1, pp. 1–7 (2014)Google Scholar
- 13.Mann, B.P., Barton, D.A., Owens, B.A.: Uncertainty in performance for linear and nonlinear energy harvesting strategies. J. Intell. Mater. Syst. Struct. 23(3), 1451–1460 (2012)CrossRefGoogle Scholar
- 14.McConnell, K.G., Varoto, P.S.: Vibration Testing: Theory and Practice. Wiley, Hoboken (2008)Google Scholar
- 15.Rao, S.: Vibrations of Continuous Systems. Wiley, Hoboken (2007)Google Scholar
- 16.Ritto, T.G., Sampaio, R., Cataldo, E.: Timoshenko beam with uncertainty on the boundary conditions. J. Braz. Soc. Mech. Sci. Eng. 30(4), 295–303 (2008)CrossRefGoogle Scholar
- 17.Ritto, T.G., Sampaio, R., Aguiar, R.R.: Uncertain boundary condition Bayesian identification from experimental data: a case study on a cantilever beam. Mech. Syst. Signal Process. 68–69, 176–188 (2016)CrossRefGoogle Scholar
- 18.Ruiz, R.O., Meruane, V.: Effect of uncertainties in the dynamical behavior of piezoelectric energy harvesters. Proc. Eng. 199, 3846–3491 (2017)CrossRefGoogle Scholar
- 19.Ruiz, R.O., Meruane, V.: Uncertainties propagation and global sensitivity analysis of the frequency response function of piezoelectric energy harvesters. Smart Mater. Struct. 26, 1–14 (2017)CrossRefGoogle Scholar
- 20.Seong, S., Hu, C., Lee, S.: Design under uncertainty for reliable power generation of piezoelectric energy harvester. J. Intell. Mater. Syst. Struct. 28(17), 2437–2449 (2017)CrossRefGoogle Scholar
- 21.Soize, C.: Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering. Interdisciplinary Applied Mathematics. Springer, Cham (2017)CrossRefGoogle Scholar
- 22.Singla, P., Karami, M.A.: Uncertainty quantification of energy harvesting systems using method of quadratures and maximum entropy principle. In: Proceedings of the ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems-SMASIS, vol. 1, pp. 1–15 (2015)Google Scholar