Piezoelectric materials exhibit electromechanical coupling properties and have been gained importance over the last few decades due to their broad range of applications. Vibration-based energy harvesting systems have been proposed using the direct piezoelectric effect by converting mechanical into electrical energy. Although the great relevance of these systems, performance enhancement strategies are essential to improve the applicability of these system and have been studied substantially. This work addresses a numerical investigation of the influence of cubic polynomial nonlinearities in energy harvesting systems considering a bistable structure subjected to harmonic excitation. A deep parametric analysis is carried out employing nonlinear dynamics tools. Results show complex dynamical behaviors associated with the trigger of inter-well motion. Electrical power output and efficiency are monitored in order to evaluate the configurations associated with best system performances.
AiRMonteiroLLSMonteiroPCC, et al. (2019) Piezoelectric vibration-based energy harvesting enhancement exploiting nonsmoothness. Actuators8(1): 25.
2.
AndòBBaglioSTrigonaC, et al. (2010) Nonlinear mechanism in MEMS devices for energy harvesting applications. Journal of Micromechanics and Microengineering20(12): 125020.
3.
BlystadL-CJHalvorsenE (2011) A piezoelectric energy harvester with a mechanical end stop on one side. Microsystem Technologies17(4): 505–511.
4.
CellularACda Silva MonteiroLLSaviMA (2018) Numerical investigation of nonlinear mechanical and constitutive effects on piezoelectric vibration-based energy harvesting. Technisches Messen85(9): 565–579.
5.
CottoneFGammaitoniLVoccaH, et al. (2012) Piezoelectric buckled beams for random vibration energy harvesting. Smart Materials and Structures21(3): 035021.
6.
duToitNEWardleBLKimS-G (2005) Design considerations for mems-scale piezoelectric mechanical vibration energy harvesters. Integrated Ferroelectrics71(1): 121–160.
7.
ErturkAHoffmannJInmanDJ (2009) A piezomagnetoelastic structure for broadband vibration energy harvesting. Applied Physics Letters94(25): 254102.
8.
ErturkAInmanD (2011a) Broadband piezoelectric power generation on high-energy orbits of the bistable duffing oscillator with electromechanical coupling. Journal of Sound and Vibration330(10): 2339–2353.
9.
ErturkAInmanDJ (2008) Issues in mathematical modeling of piezoelectric energy harvesters. Smart Materials and Structures17(6): 065016.
10.
ErturkA.InmanDJ (2011b) Piezoelectric Energy Harvesting. Hoboken, NJ: John Wiley & Sons, Inc.
11.
FerrariMFerrariVGuizzettiM, et al. (2010) Improved energy harvesting from wideband vibrations by nonlinear piezoelectric converters. Sensors and Actuators A: Physical162(2): 425–431.
12.
HaitaoLWeiyangQChunboL, et al. (2015) Dynamics and coherence resonance of tri-stable energy harvesting system. Smart Materials and Structures25(1): 015001.
13.
KimJEKimYY (2011) Analysis of piezoelectric energy harvesters of a moderate aspect ratio with a distributed tip mass. Journal of Vibration and Acoustics133(4): 041010.
14.
KimMHoegenMDugundjiJ, et al. (2010) Modeling and experimental verification of proof mass effects on vibration energy harvester performance. Smart Materials and Structures19(4): 045023.
15.
KimPSeokJ (2014) A multi-stable energy harvester: dynamic modeling and bifurcation analysis. Journal of Sound and Vibration333(21): 5525–5547.
16.
KimPSeokJ (2015) Dynamic and energetic characteristics of a tri-stable magnetopiezoelastic energy harvester. Mechanism and Machine Theory94: 41–63.
17.
KumarKAAliSFArockiarajanA (2015) Piezomagnetoelastic broadband energy harvester: nonlinear modeling and characterization. The European Physical Journal Special Topics224(14): 2803–2822.
18.
KumarKAAliSFArockiarajanA (2017) Magneto-elastic oscillator: modeling and analysis with nonlinear magnetic interaction. Journal of Sound and Vibration393: 265–284.
19.
LinJ-TAlphenaarB (2010) Enhancement of energy harvested from a random vibration source by magnetic coupling of a piezoelectric cantilever. Journal of Intelligent Material Systems and Structures21(13): 1337–1341.
20.
LiuHLeeCKobayashiT, et al. (2012) Investigation of a MEMS piezoelectric energy harvester system with a frequency-widened-bandwidth mechanism introduced by mechanical stoppers. Smart Materials and Structures21(3): 035005.
21.
LiuWFormosaFBadelA, et al. (2016) Investigation of a buckled beam generator with elastic clamp boundary. Smart Materials and Structures25(11): 115045.
22.
LiuWFormosaFBadelA, et al. (2017) A simplified lumped model for the optimization of post-buckled beam architecture wideband generator. Journal of Sound and Vibration409: 165–179.
23.
LiuWQBadelAFormosaF, et al. (2013) Novel piezoelectric bistable oscillator architecture for wideband vibration energy harvesting. Smart Materials and Structures22(3): 035013.
24.
MasanaRDaqaqMF (2011) Relative performance of a vibratory energy harvester in mono- and bi-stable potentials. Journal of Sound and Vibration330(24): 6036–6052.
25.
MoonFHolmesP (1979) A magnetoelastic strange attractor. Journal of Sound and Vibration65(2): 275–296.
26.
PaulaASDInmanDJSaviMA (2015) Energy harvesting in a nonlinear piezomagnetoelastic beam subjected to random excitation. Mechanical Systems and Signal Processing54: 405–416.
27.
QianFZhouSZuoL (2020) Approximate solutions and their stability of a broadband piezoelectric energy harvester with a tunable potential function. Communications in Nonlinear Science and Numerical Simulation80: 104984.
28.
SebaldGKuwanoHGuyomarD, et al. (2011) Experimental duffing oscillator for broadband piezoelectric energy harvesting. Smart Materials and Structures20(10): 102001.
29.
SnellerAJCettePMannBP (2011) Experimental investigation of a post-buckled piezoelectric beam with an attached central mass used to harvest energy. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering225(4): 497–509.
30.
StantonSCMcGeheeCCMannBP (2010) Nonlinear dynamics for broadband energy harvesting: investigation of a bistable piezoelectric inertial generator. Physica D: Nonlinear Phenomena239(10): 640–653.
31.
StantonSCOwensBAMannBP (2012) Harmonic balance analysis of the bistable piezoelectric inertial generator. Journal of Sound and Vibration331(15): 3617–3627.
32.
ToprakATigliO (2014) Piezoelectric energy harvesting: state-of-the-art and challenges. Applied Physics Reviews1(3): 031104.
33.
TranNGhayeshMHArjomandiM (2018) Ambient vibration energy harvesters: a review on nonlinear techniques for performance enhancement. International Journal of Engineering Science127: 162–185.
34.
WangCZhangQWangW, et al. (2018a) A low-frequency, wideband quad-stable energy harvester using combined nonlinearity and frequency up-conversion by cantilever-surface contact. Mechanical Systems and Signal Processing112: 305–318.
35.
WangWCaoJBowenCR, et al. (2018b) Multiple solutions of asymmetric potential bistable energy harvesters: numerical simulation and experimental validation. The European Physical Journal B91: 254.
36.
WolfASwiftJBSwinneyHL, et al. (1985) Determining lyapunov exponents from a time series. Physica D: Nonlinear Phenomena16(3): 285–317.
37.
YildirimTGhayeshMHLiW, et al. (2017) A review on performance enhancement techniques for ambient vibration energy harvesters. Renewable and Sustainable Energy Reviews71: 435–449.
38.
ZhouSCaoJErturkA, et al. (2013) Enhanced broadband piezoelectric energy harvesting using rotatable magnets. Applied Physics Letters102(17): 173901.
39.
ZhouSCaoJInmanDJ, et al. (2014) Broadband tristable energy harvester: modeling and experiment verification. Applied Energy133: 33–39.
40.
ZhouZQinWYangY, et al. (2017a) Improving efficiency of energy harvesting by a novel penta-stable configuration. Sensors and Actuators A: Physical265: 297–305.
41.
ZhouZQinWZhuP (2017b) A broadband quad-stable energy harvester and its advantages over bi-stable harvester: simulation and experiment verification. Mechanical Systems and Signal Processing84: 158–168.
42.
ZhuPRenXQinW, et al. (2017) Improving energy harvesting in a tri-stable piezomagnetoelastic beam with two attractive external magnets subjected to random excitation. Archive of Applied Mechanics87(1): 45–57.
