Nonlinear dynamics of magnetically coupled beams for multi-modal vibration energy harvesting

We investigate the nonlinear dynamics of magnetically coupled beams for multi-modal vibration energy harvesting. A multi-physics model for the proposed device is developed taking into account geometric and magnetic nonlinearities. The coupled nonlinear equations of motion are solved using the Galerkin discretization coupled with the harmonic balance method and the asymptotic numerical method. Several numerical simulations have been performed showing that the expected performances of the proposed vibration energy harvester are significantly promising with up to 130 % in term of bandwidth and up to 60 μWcm-3g-2 in term of normalized harvested power.

[1]  Jan M. Rabaey,et al.  Improving power output for vibration-based energy scavengers , 2005, IEEE Pervasive Computing.

[2]  Amr M. Baz,et al.  Experimental implementation of a cantilevered piezoelectric energy harvester with a dynamic magnifier , 2011, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[3]  Zengtao Yang,et al.  Connected Vibrating Piezoelectric Bimorph Beams as a Wide-band Piezoelectric Power Harvester , 2009 .

[4]  N. Kacem,et al.  Computational models for large amplitude nonlinear vibrations of electrostatically actuated carbon nanotube-based mass sensors , 2014 .

[5]  N. G. Stephen,et al.  On energy harvesting from ambient vibration , 2006 .

[6]  Christophe Vergez,et al.  A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities , 2008, 0808.3839.

[7]  Sébastien Baguet,et al.  Computational and quasi-analytical models for non-linear vibrations of resonant MEMS and NEMS sensors , 2011 .

[8]  Mohammed F. Daqaq,et al.  Electromechanical Modeling and Nonlinear Analysis of Axially Loaded Energy Harvesters , 2011 .

[9]  Sebastien Hentz,et al.  Stability control of nonlinear micromechanical resonators under simultaneous primary and superharmonic resonances , 2011 .

[10]  Sebastien Hentz,et al.  Bifurcation topology tuning of a mixed behavior in nonlinear micromechanical resonators , 2009 .

[11]  Neil D. Sims,et al.  Energy harvesting from the nonlinear oscillations of magnetic levitation , 2009 .

[12]  N. Bouhaddi,et al.  Collective dynamics of periodic nonlinear oscillators under simultaneous parametric and external excitations , 2015 .

[13]  Tuna Balkan,et al.  An electromagnetic micro power generator for wideband environmental vibrations , 2008 .

[14]  Noureddine Bouhaddi,et al.  Enhancement of the performance of a hybrid nonlinear vibration energy harvester based on piezoelectric and electromagnetic transductions , 2014 .

[15]  Sebastien Hentz,et al.  Dynamic range enhancement of nonlinear nanomechanical resonant cantilevers for highly sensitive NEMS gas/mass sensor applications , 2010 .

[16]  Mohamed Lamjed Bouazizi,et al.  Multi-modal vibration energy harvesting approach based on nonlinear oscillator arrays under magnetic levitation , 2016 .

[17]  B. Reig,et al.  Nonlinear dynamics of nanomechanical beam resonators: improving the performance of NEMS-based sensors , 2009, Nanotechnology.

[18]  Laurent Duraffourg,et al.  Overcoming limitations of nanomechanical resonators with simultaneous resonances , 2015, 1504.07533.

[19]  Hyung-Jo Jung,et al.  Broadband energy-harvesting using a two degree-of-freedom vibrating body , 2011 .