On the design of an electromagnetic aeroelastic energy harvester from nonlinear flutter

A new energy harvester by coupling the electromagnetic induction and the pitch vibration of a rigid wing is built up in this paper. It is aimed: (1) to harvest energy from the pitch limit cycle oscillation (LCO) of the wing due to the preloaded free-play nonlinearity; (2) to introduce a theoretical analysis scheme based on the equivalent linearized method into the design of this harvester. With the equivalent linearized method, the domains of the single stable LCO and double stable LCOs are respectively obtained. Combining the analytical and numerical solutions, the single stable LCO along with the stable limit cycle amplitude greater than its corresponding unstable one is recognized as the better mode for harvesting, since the larger limit cycle domain is induced and the more energy are yielded. Based on such chosen mode, analyses of varying parameters are conducted with respect to the plunge stiffness, pitch stiffness, distance of elastic axis from center of gravity, distance of geometric center from elastic axis, load resistance and magnetic flux density. Meanwhile, three indicators are applied to reveal their effects on the harvesting performances: (1) the size of limit cycle domain, (2) the onset velocity of LCO, and (3) the energy output.

[1]  Yiren Yang,et al.  On double stable limit cycle flutter of a plate with motion constraints in subsonic flow , 2016 .

[2]  Abdessattar Abdelkefi,et al.  Modeling and performance of electromagnetic energy harvesting from galloping oscillations , 2015 .

[3]  Peter Dunn,et al.  Nonlinear Stall Flutter and Divergence Analysis of Cantilevered Graphite/Epoxy Wings , 1990 .

[4]  Earl H. Dowell,et al.  Power extraction from aeroelastic limit cycle oscillations , 2011 .

[5]  Yi-Ren Yang.  LIMIT CYCLE HUNTING OF A BOGIE WITH FLANGED WHEELS. , 1995 .

[6]  D. Peters,et al.  Finite state induced flow models. I - Two-dimensional thin airfoil , 1995 .

[7]  Qiang Zhu,et al.  A review on flow energy harvesters based on flapping foils , 2014 .

[8]  B. Mann,et al.  Reversible hysteresis for broadband magnetopiezoelastic energy harvesting , 2009 .

[9]  Ali H. Nayfeh,et al.  Design of piezoaeroelastic energy harvesters , 2012 .

[10]  Daniel J. Inman,et al.  Piezoaeroelastic Modeling and Analysis of a Generator Wing with Continuous and Segmented Electrodes , 2010 .

[11]  M. Akbar,et al.  KBM unified method for solving an nth order non-linear differential equation under some special conditions including the case of internal resonance , 2006 .

[12]  A. Barrero-Gil,et al.  Energy harvesting from transverse galloping , 2010 .

[13]  Muhammad R. Hajj,et al.  Nonlinear analysis and enhancement of wing-based piezoaeroelastic energy harvesters , 2014 .

[14]  Qiang Zhu,et al.  Modeling the capacity of a novel flow-energy harvester , 2009 .

[15]  Stuart J. Price,et al.  Fluid-Structure Interactions: Frontmatter , 2010 .

[16]  Rui Vasconcellos,et al.  Phenomena and characterization of grazing–sliding bifurcations in aeroelastic systems with discontinuous impact effects , 2015 .

[17]  Alper Erturk,et al.  Electroaeroelastic analysis of airfoil-based wind energy harvesting using piezoelectric transduction and electromagnetic induction , 2013 .

[18]  Abdessattar Abdelkefi,et al.  Modeling and performance analysis of cambered wing-based piezoaeroelastic energy harvesters , 2013 .

[19]  Daochun Li,et al.  Piezoaeroelastic energy harvesting based on an airfoil with double plunge degrees of freedom: Modeling and numerical analysis , 2017 .

[20]  Yaowen Yang,et al.  Comparative study of tip cross-sections for efficient galloping energy harvesting , 2013 .

[21]  Y.-R. Yang.  KBM METHOD OF ANALYZING LIMIT CYCLE FLUTTER OF A WING WITH AN EXTERNAL STORE AND COMPARISON WITH A WIND-TUNNEL TEST , 1995 .

[22]  M. P. Paı¨doussis,et al.  On the instability and the post-critical behaviour of two-dimensional cantilevered flexible plates in axial flow , 2007 .

[23]  Zhichun Yang,et al.  Analysis of limit cycle flutter of an airfoil in incompressible flow , 1988 .

[24]  Ali H. Nayfeh,et al.  Sensitivity analysis of piezoaeroelastic energy harvesters , 2012 .

[25]  Abdessattar Abdelkefi,et al.  Theoretical modeling and nonlinear analysis of piezoelectric energy harvesting from vortex-induced vibrations , 2014 .

[26]  Matthew Bryant,et al.  Modeling and Testing of a Novel Aeroelastic Flutter Energy Harvester , 2011 .

[27]  Hyung-Jo Jung,et al.  Feasibility Study on a New Energy Harvesting Electromagnetic Device Using Aerodynamic Instability , 2009, IEEE Transactions on Magnetics.

[28]  Daniel J. Inman,et al.  An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations , 2009 .

[29]  E. D. Langre,et al.  Fluid-Structure Interactions: Cross-Flow-Induced Instabilities , 2010 .

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

[31]  Michael P. Païdoussis,et al.  Cantilevered flexible plates in axial flow: Energy transfer and the concept of flutter-mill , 2009 .

[32]  Muhammad R. Hajj,et al.  Grazing bifurcation in aeroelastic systems with freeplay nonlinearity , 2014, Commun. Nonlinear Sci. Numer. Simul..

[33]  Daniel J. Inman,et al.  An electromechanical finite element model for piezoelectric energy harvester plates , 2009 .

[34]  Alper Erturk,et al.  Three-Degree-of-Freedom Hybrid Piezoelectric-Inductive Aeroelastic Energy Harvester Exploiting a Control Surface , 2015 .

[35]  S. J. Price,et al.  NONLINEAR AEROELASTIC ANALYSIS OF AIRFOILS : BIFURCATION AND CHAOS , 1999 .

[36]  Muhammad R. Hajj,et al.  Performance enhancement of piezoelectric energy harvesters from wake galloping , 2013 .

[37]  Yiren Yang,et al.  Nonlinear flutter behavior of a plate with motion constraints in subsonic flow , 2014 .

[38]  Carlos E. S. Cesnik,et al.  Limit-cycle oscillations in high-aspect-ratio wings , 2002 .

[39]  Abdessattar Abdelkefi,et al.  Aeroelastic energy harvesting: A review , 2016 .

[40]  Carlos E. S. Cesnik,et al.  Nonlinear Aeroelasticity and Flight Dynamics of High-Altitude Long-Endurance Aircraft , 2001 .

[41]  Yiannis Andreopoulos,et al.  The performance of a self-excited fluidic energy harvester , 2012 .

[42]  Alper Erturk,et al.  Hybrid piezoelectric-inductive flow energy harvesting and dimensionless electroaeroelastic analysis for scaling , 2013 .

[43]  Rui Vasconcellos,et al.  Nonlinear dynamical analysis of an aeroelastic system with multi-segmented moment in the pitch degree-of-freedom , 2015, Commun. Nonlinear Sci. Numer. Simul..

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

[45]  Daniel J. Inman,et al.  On the energy harvesting potential of piezoaeroelastic systems , 2010 .

[46]  Daniel J. Inman,et al.  Piezoelectric energy harvesting from macro-fiber composites with an application to morphing-wing aircrafts , 2008 .

[47]  N. Elvin,et al.  Energy Harvesting from Highly Unsteady Fluid Flows using Piezoelectric Materials , 2010 .

[48]  Abdessattar Abdelkefi,et al.  Nonlinear dynamics and comparative analysis of hybrid piezoelectric-inductive energy harvesters subjected to galloping vibrations , 2015 .

[49]  Ali H. Nayfeh,et al.  Enhancement of power harvesting from piezoaeroelastic systems , 2012 .

[50]  M. Arafa,et al.  Energy Harvesting from Wind-induced Vibrations , 2013 .

[51]  Ephrahim Garcia,et al.  Development of an aeroelastic vibration power harvester , 2009, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[52]  Earl H. Dowell,et al.  Flutter and limit cycle oscillations of two-dimensional panels in three-dimensional axial flow , 2003 .

[53]  Earl H. Dowell,et al.  Experimental and Theoretical Study on Aeroelastic Response of High-Aspect-Ratio Wings , 2001 .

[54]  Ali H. Nayfeh,et al.  Modeling and analysis of piezoaeroelastic energy harvesters , 2012 .