Nonlinear energy harvesting based on a modified snap-through mechanism

doi:10.1007/s10483-019-2408-9

Abstract

Abstract: A modified snap-through mechanism is used in an electromagnetic energy harvester to improve its effectiveness. It mainly comprises three springs that are configured so that the potential energy of the system has two stable equilibrium points. In particular, the small vibration behavior of the harvester around one of the equilibriums is of interest. A multi-scale method (MSM) is used to analyze the frequency response curve. Two snap-through mechanisms are considered. One has both horizontal and vertical springs. The other has only horizontal springs. The frequency response curves of these two classes are compared under the same excitation and electric loading conditions. The latter exhibits more bending of the frequency response curve than the former one. The results are also validated by some numerical work. The averaged power subject to the Gaussian white noise is calculated numerically, and the results demonstrate that bi-stable energy harvesting with only horizontal springs can outperform the mechanism with both horizontal and vertical springs for the same distance between two equilibriums.

Key words: composite, laminate, plate stress analysis, finite element method.three dimension, interlaminar surface, stress concentration, snap-through, random excitation, energy harvesting, nonlinear stiffness

2010 MSC Number:

34E13

Zeqi LU, Ke LI, Hu DING, Liqun CHEN. Nonlinear energy harvesting based on a modified snap-through mechanism. Applied Mathematics and Mechanics (English Edition), 2019, 40(1): 167-180.

TrendMD

References

[1] RAFIQUE, S. Piezoelectric Energy Harvesting, Springer, Cham Switzerland (2018)
[2] ELVIN, N. and ERTURK, A. Advances in Energy Harvesting Methods, Springer, New York (2013)
[3] GLYNNE-JONES, P., TUDOR, M. J., BEEBY, S. P., and WHITE, N. M. An electromagnetic, vibration-powered generator for intelligent sensor systems. Sensors and Actuators A, 110, 344-349(2014)
[4] WANG, Y. Q. and ZU, J. W. Nonlinear oscillations of sigmoid functionally graded material plates moving in longitudinal direction. Applied Mathematics and Mechanics (English Edition), 38(11), 1533-1550(2017) https://doi.org/10.1007/s10483-017-2277-9
[5] WANG, H., XIE, J., XIE, X., HU, Y., and WANG, J. Nonlinear characteristics of circularcylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode. Applied Mathematics and Mechanics (English Edition), 35(2), 229-236(2014) https://doi.org/10.1007/s10483-014-1786-6
[6] DAQAQ, M. F., MASANA, R., ERTURK, A., and QUINN, D. D. On the role of nonlinearities in vibratory energy harvesting:a critical review and discussion. ASME Applied Mechanics Review, 66(4), 040801(2014)
[7] WEI, C. and JING, X. Vibrational energy harvesting by exploring structural benefits and nonlinear characteristics. Communication in Nonlinear Science and Numerical Simulations, 48, 288-306(2017)
[8] LI, X., ZHANG, Y. W., DING, H., and CHEN, L. Q. Integration of a nonlinear energy sink and a piezoelectric energy harvester. Applied Mathematics and Mechanics (English Edition), 38(7), 1019-1030(2017) https://doi.org/10.1007/s10483-017-2220-6
[9] QUINN, D. D., TRIPLETT, A. L., and BERGMAN, L. A. Comparing linear and essentially nonlinear vibration-based energy harvesting. ASME Journal of Vibration and Acoustics, 133(1), 011001(2011)
[10] TANG, L., YANG, Y., and SOH, C. K. Toward broadband vibration-based energy harvesting. Journal Intelligent Material Systems and Structures, 21(18), 1867-1897(2010)
[11] ZHU, D., TUDOR, M. J., and BEEBY, S. P. Strategies for increasing the operating frequency range of vibration energy harvesters:a review. Measurement Science and Technology, 21(2), 1-29(2010)
[12] CAMMARANO, A., BURROW, S. G., and BARTON, D. A. W. Tuning resonant energy harvester using a generalized electrical load. Smart Material and Structure, 19(5), 055003(2010)
[13] WEI, C. and JING, X. A comprehensive review on vibration energy harvesting:modeling and realization. Renewable and Sustainable Energy Reviews, 74, 1-18(2017)
[14] PELLEGRINI, S., TOLOU, N., SCHENK, M., and HERDER, J. Bistable vibration energy harvesters:a review. Journal of Intelligent Material Systems and Structures, 24(11), 1303-1312(2013)
[15] ANDO, B., BAGLIO, S., and TRIGONA, C. Nonlinear mechanism in MEMS devices for energy harvesting applications. Journal of Micromechanics and Microengineerings, 20(12), 1250201(2010)
[16] ARRIETA, A. F., HAGEDORN, P., and ERTURK, A. A piezoelectric bistable plate for nonlinear broadband energy harvesting. Applied Physics Letters, 97(10), 1041021(2010)
[17] ERTURK, A. and INMAN, D. J. Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling. Journal of Sound and Vibration, 330(10), 2339-2353(2011)
[18] MANN, B. P. and OWENS, B. A. Investigations of a nonlinear energy harvester with a bistable potential well. Journal of Sound and Vibration, 329(9), 1215-1226(2010)
[19] STANTON, S. C., MCGEHEE, C. C., and MANN, B. P. Nonlinear dynamics for broadband energy harvesting:investigation of a bistable piezoelectric inertial generator. Physica D:Nonlinear Phenomena, 239(10), 640-653(2010)
[20] HARNE, R. L. and WANG, K. W. A review of the recent research on vibration energy harvesting via bistable systems. Smart Materials and Structures, 22, 023001(2013)
[21] ERTURK, A., HOFFMAN, J., and INMAN, D. J. A piezo-magneto-elastic structure for broadband vibration energy harvesting. Applied Physics Letters, 94, 254102(2009)
[22] JIANG, W. and CHEN, L. Q. Snap-through piezoelectric energy harvesting. Journal of Sound and Vibration, 333, 4314-4325(2014)
[23] MCINNES, C. R., GORMAN, D. G., and CARTMELL, M. P. Enhanced vibrational energy harvesting using nonlinear stochastic resonance. Journal of Sound and Vibration, 318, 655-662(2008)
[24] WU, Z., HARNE, R. L., and Wang, K. W. Energy harvester synthesis via coupled linear bistable system with multistable dynamics. ASME Journal of Applied Mechanics, 81(6), 061005(2014)
[25] CHEN, L. Q. and JIANG, W. Internal resonance energy harvesting. ASME Journal of Applied Mechanics, 82, 031004(2015)
[26] CHEN, L. Q. and JIANG, W. A piezoelectric energy harvester based on internal resonance. Acta Mechanica Sinica, 31(2), 223-228(2015)
[27] CHEN, L. Q. and LI, K. Equilibriums and their stabilities of the snap-through mechanism. Archive of Applied Mechanics, 86(3), 403-410(2016)
[28] LU, Z. Q., BRENNAN, M. J., YANG, T. J., LI, X. H., and LIU, Z. G. An investigation of a two-stage nonlinear vibration isolation system. Journal of Sound and Vibration, 322, 1456-1464(2013)
[29] HU, D., HUANG, L. Y., MAO, X. Y., and CHEN, L. Q. Primary resonance of traveling viscoelastic beam under internal resonance. Applied Mathematics and Mechanics (English Edition), 38(1), 1- 14(2017) https://doi.org/10.1007/s10483-016-2152-6
[30] CARRELLA, A., BRENNAN, M. J., WATERS, T. P., and LOPES, V., JR. Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness. International Journal of Mechanical Sciences, 55, 22-29(2012)
[31] KOVACIC, I. and BRENNAN, M. J. The Duffing Equation:Nonlinear Oscillators and Their Behavior, Wiley, Chichester, 219-270(2011)