Energy harvesting from chaos in base excited double pendulum

Abstract This study focusses on exploiting the dynamics of a base excited double pendulum to generate electricity in small scale. The system consists of two pendulum attached in series with rigid massless links. The mass of the double pendulum is assumed to be concentrated at the bobs. A magnet is rigidly attached to the tip of second (lower) pendulum. A series of equally spaced coils are placed near the arc of the trajectory of the magnet. Small amplitude oscillations result in fluctuating magnetic field, generating electricity in the coils. The harvested power is significantly increased when the magnet undergoes chaotic motion. Parametric studies are carried out to optimize the system and excitation parameters that lead to enhancing the harvested energy. The proof-of-concept has been demonstrated through experiments. This involved recording the motion of the bobs, subsequent video processing, followed by time series analyses to establish the chaotic dynamics and correlating the dynamical behavior with the harvested energy. The experimental observations reveal good qualitative match with the numerical simulations.

[1]  Sunetra Sarkar,et al.  Investigations on precursor measures for aeroelastic flutter , 2018 .

[2]  Yaowen Yang,et al.  Toward Broadband Vibration-based Energy Harvesting , 2010 .

[3]  Ruxu Du,et al.  Frequency Tuning of a Nonlinear Electromagnetic Energy Harvester , 2014 .

[4]  Bernard H. Stark,et al.  MEMS electrostatic micropower generator for low frequency operation , 2004 .

[5]  Huan Xue,et al.  Broadband piezoelectric energy harvesting devices using multiple bimorphs with different operating frequencies , 2008, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[6]  David A W Barton,et al.  Energy harvesting from vibrations with a nonlinear oscillator , 2010 .

[7]  J. M. Camacho,et al.  Alternative method to calculate the magnetic field of permanent magnets with azimuthal symmetry , 2013 .

[8]  A. Wolf,et al.  Determining Lyapunov exponents from a time series , 1985 .

[9]  Hajime Igarashi,et al.  A chaotic vibration energy harvester using magnetic material , 2015 .

[10]  D. Ruelle,et al.  Recurrence Plots of Dynamical Systems , 1987 .

[11]  Grzegorz Górski,et al.  Energy harvesting in the nonlinear electromagnetic system , 2015 .

[12]  Yiannos Manoli,et al.  A self-adaptive energy harvesting system , 2016 .

[13]  Grzegorz Litak,et al.  Non-linear piezoelectric vibration energy harvesting from a vertical cantilever beam with tip mass , 2012 .

[14]  Shaikh Faruque Ali,et al.  Analysis of energy harvesting from multiple pendulums with and without mechanical coupling , 2015 .

[15]  Energy Harvesting from Near Periodic Structures , 2015 .

[16]  Cesare Stefanini,et al.  Piezoelectric Energy Harvesting Solutions , 2014, Sensors.

[17]  Dibin Zhu,et al.  A broadband electromagnetic energy harvester with a coupled bistable structure , 2013 .

[18]  Neil M. White,et al.  An electromagnetic, vibration-powered generator for intelligent sensor systems , 2004 .

[19]  Sondipon Adhikari,et al.  The analysis of piezomagnetoelastic energy harvesters under broadband random excitations , 2011 .

[20]  Yaowen Yang,et al.  A nonlinear piezoelectric energy harvester with magnetic oscillator , 2012 .

[21]  Toshio Okada,et al.  A numerical analysis of chaos in the double pendulum , 2006 .

[22]  Grzegorz Litak,et al.  Energy harvesting by two magnetopiezoelastic oscillators with mistuning , 2012 .

[23]  Jürgen Kurths,et al.  Recurrence plots for the analysis of complex systems , 2009 .

[24]  Analysis of Electromotive Force Characteristics for Electromagnetic Energy Harvester using Ferrofluid , 2015 .

[25]  M. Esashi,et al.  Resonance enhancement of micromachined resonators with strong mechanical-coupling between two degrees of freedom , 2003 .

[26]  Igor Neri,et al.  Nonlinear oscillators for vibration energy harvesting , 2009 .

[27]  Yong-Jin Yoon,et al.  Nonlinear dynamic analyses on a magnetopiezoelastic energy harvester with reversible hysteresis , 2016 .

[28]  P. Alam ‘G’ , 2021, Composites Engineering: An A–Z Guide.

[29]  Lei Wang,et al.  Vibration energy harvesting by magnetostrictive material , 2008 .

[30]  Nazenin Gure,et al.  Energy Harvesting and Energy Efficiency: Technology, Methods and Applications , 2017 .

[31]  Jens Twiefel,et al.  Survey on broadband techniques for vibration energy harvesting , 2013 .

[32]  M. Eugeni,et al.  A Review on Mechanisms for Piezoelectric-Based Energy Harvesters , 2018, Energies.

[33]  Ebrahim Esmailzadeh,et al.  Periodic behavior of a cantilever beam with end mass subjected to harmonic base excitation , 1998 .

[34]  N. Derby,et al.  Cylindrical magnets and ideal solenoids , 2009, 0909.3880.

[35]  A. Arockiarajan,et al.  Piezomagnetoelastic broadband energy harvester: Nonlinear modeling and characterization , 2015 .

[36]  T. R. Bedding,et al.  Dynamics of a double pendulum with distributed mass , 2008, 0812.0393.

[37]  D. Inman,et al.  A piezomagnetoelastic structure for broadband vibration energy harvesting , 2009 .

[38]  L. Gammaitoni,et al.  Nonlinear energy harvesting. , 2008, Physical review letters.

[39]  D. Inman,et al.  Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling , 2011 .