Power harvesting from transverse galloping of square cylinder

The concept of exploiting galloping of square cylinders to harvest energy is investigated. The energy is harvested by attaching a piezoelectric transducer to the transverse degree of freedom. A representative model that accounts for the coupled cylinder displacement and harvested voltage is used to determine the levels of the harvested power. The focus is on the effect of the Reynolds number on the aerodynamic force, the onset of galloping, and the level of the harvested power. The quasi steady approximation is used to model the aerodynamic loads. A linear analysis is performed to determine the effects of the electrical load resistance and the Reynolds number on the onset of galloping, which is due to a Hopf bifurcation. We derive the normal form of the dynamic system near the onset of galloping to characterize the type of the instability and to determine the effects of the system parameters on its outputs near the bifurcation. The results show that the electrical load resistance and the Reynolds number play an important role in determining the level of the harvested power and the onset of galloping. The results also show that the maximum levels of harvested power are accompanied with minimum transverse displacements for both low- and high-Reynolds number configurations.

[1]  R. Haftka,et al.  Uncertainty-based Design Optimization of a Micro Piezoelectric Composite Energy Reclamation Device , 2004 .

[2]  D. Inman,et al.  A Review of Power Harvesting from Vibration using Piezoelectric Materials , 2004 .

[3]  Ephrahim Garcia,et al.  Energy harvesting: a key to wireless sensor nodes , 2009, International Conference on Smart Materials and Nanotechnology in Engineering.

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

[5]  Paul K. Wright,et al.  A piezoelectric vibration based generator for wireless electronics , 2004 .

[6]  Isabel Pérez-Grande,et al.  Galloping stability of triangular cross-sectional bodies: A systematic approach , 2007 .

[7]  Muhammad R. Hajj,et al.  Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation , 2012 .

[8]  Alper Erturk,et al.  Enhanced aeroelastic energy harvesting by exploiting combined nonlinearities: theory and experiment , 2011 .

[9]  G. V. Parkinson,et al.  Phenomena and modelling of flow-induced vibrations of bluff bodies , 1989 .

[10]  Abdessattar Abdelkefi,et al.  An energy harvester using piezoelectric cantilever beams undergoing coupled bending–torsion vibrations , 2011 .

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

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

[13]  Hiroshi Tanaka,et al.  Effect of Turbulence on Galloping Instability , 1974 .

[14]  A. Barrero-Gil,et al.  Hysteresis in transverse galloping: The role of the inflection points , 2009 .

[15]  Ali H. Nayfeh,et al.  The Method of Normal Forms , 2011 .

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

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

[18]  M. I. Kazakevich,et al.  Closed analytical solution for galloping aeroelastic self-oscillations , 1996 .

[19]  A. Barrero-Gil,et al.  Transverse galloping at low Reynolds numbers , 2009 .

[20]  Daniel J. Inman,et al.  Towards autonomous sensing , 2006, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[21]  M. Novak.  Aeroelastic Galloping of Prismatic Bodies , 1969 .

[22]  J. Meseguer,et al.  Galloping instabilities of two-dimensional triangular cross-section bodies , 2005 .

[23]  D. Inman,et al.  On Mechanical Modeling of Cantilevered Piezoelectric Vibration Energy Harvesters , 2008 .

[24]  G. V. Parkinson,et al.  Mathematical models of flow induced vibrations of bluff bodies , 1974 .

[25]  R. Blevins,et al.  Flow-Induced Vibration , 1977 .

[26]  Eduard Naudascher,et al.  Flow-Induced Structural Vibrations , 1974 .

[27]  Muhammad R. Hajj,et al.  Global nonlinear distributed-parameter model of parametrically excited piezoelectric energy harvesters , 2012 .

[28]  G. V. Parkinson,et al.  THE SQUARE PRISM AS AN AEROELASTIC NON-LINEAR OSCILLATOR , 1964 .

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

[30]  Paul Muralt,et al.  Ferroelectric thin films for micro-sensors and actuators: a review , 2000 .

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

[32]  E. P. Spencer,et al.  The amelioration of the suffering associated with spinal cord injury with subperception transcranial electrical stimulation , 2003, Spinal Cord.

[33]  Henry A. Sodano,et al.  A review of power harvesting using piezoelectric materials (2003–2006) , 2007 .

[34]  Daniel J. Inman,et al.  A Distributed Parameter Electromechanical Model for Cantilevered Piezoelectric Energy Harvesters , 2008 .

[35]  Lars Davidson,et al.  Low-Reynolds-number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition , 1998 .

[36]  A. Nayfeh.  The Method of Normal Forms: NAYFEH:NORMAL FORMS 2/E O-BK , 2011 .