Inspired by the phenomenon of localized response intensification in wideband random vibration, a novel procedure is proposed to determine the optimal locations of piezoelectric patch attaching on wideband random point-driven beam for vibration energy harvesting application. The optimization objective is to maximize the mean output voltage, and the optimal locations lie on the vicinities of the excited point and its symmetric point. The optimal locations keep invariable regardless of typical symmetric boundary conditions (such as the clamped, simply supported, free, and torsional spring supports), the lower and upper cutoff frequencies of the band-limited white noise, and the external damping provided that the excited point is not too close to boundaries and the bandwidth of excitation covers enough modes of primary structure. The robustness of optimal locations is illustrated from an electromechanical coupling model and is qualitatively verified through experimental testing on a random-excited aluminum beam with piezoelectric patches attached on its surface.
Issue Section:
Research Papers
Keywords:
Random vibration
References
References
1.
Beeby
, S. P.
Tudor
, M. J.
White
, N. M.
2006
, “Energy Harvesting Vibration Sources for Microsystems Applications
,” Meas. Sci. Technol.
, 17
(12
), pp. R175
–R195
.2.
Mitcheson
, P. D.
Yeatman
, E. M.
Rao
, G. K.
Holmes
, A. S.
Green
, T. C.
2008
, “Energy Harvesting From Human and Machine Motion for Wireless Electronic Devices
,” Proc. IEEE
, 96
(9
), pp. 1457
–1486
.3.
Stephen
, N. G.
2006
, “On Energy Harvesting From Ambient Vibration
,” J. Sound Vib.
, 293
(1–2
), pp. 409
–425
.4.
Beeby
, S. P.
Torah
, R. N.
Tudor
, M. J.
Glynne-Jones
, P.
O’Donnell
, T.
Saha
, C. R.
Roy
, S.
2007
, “A Micro Electromagnetic Generator for Vibration Energy Harvesting
,” J. Micromech. Microeng.
, 17
(7
), pp. 1257
–1265
.5.
Guyomar
, D.
Badel
, A.
Lefeuvre
, E.
Richard
, C.
2005
, “Toward Energy Harvesting Using Active Materials and Conversion Improvement by Nonlinear Processing
,” IEEE Trans. Ultrason., Ferroelectr., Freq. Control
, 52
(4
), pp. 584
–595
.6.
Anton
, S. R.
Sodano
, H. A.
2007
, “A Review of Power Harvesting Using Piezoelectric Materials (2003-2006)
,” Smart Mater. Struct.
, 16
(3
), pp. R1
–R21
.7.
Wang
, Y.
Ma
, T.
Yu
, H. Y.
Jiang
, H. Q.
2013
, “Random Analysis on Controlled Buckling Structure for Energy Harvesting
,” Appl. Phys. Lett.
, 102
(4
), p. 041915
.8.
Ma
, T.
Wang
, Y.
Tang
, R.
Yu
, H. Y.
Jiang
, H. Q.
2013
, “Pre-Patterned ZnO Nano-Ribbons on Soft Substrates for Stretchable Energy Harvesting Applications
,” J. Appl. Phys.
, 113
(20
), p. 204503
.9.
Zhu
, D.
Tudor
, M. J.
Beeby
, S. P.
2010
, “Strategies for Increasing the Operating Frequency Range of Vibration Energy Harvesters: A Review
,” Meas. Sci. Technol.
, 21
(2
), p. 022001
.10.
Tang
, L.
Yang
, Y.
Soh
, C. K.
2010
, “Toward Broadband Vibration-Based Energy Harvesting
,” J. Intell. Mater. Syst. Struct.
, 21
(18
), pp. 1867
–1897
.11.
Barton
, D. A. W.
Burrow
, S. G.
Clare
, L. R.
2010
, “Energy Harvesting From Vibrations With a Nonlinear Oscillator
,” ASME J. Vib. Acoust.
, 132
(2
), p. 021009
.12.
Harne
, R. L.
Wang
, K. W.
2013
, “A Review of the Recent Research on Vibration Energy Harvesting Via Bistable Systems
,” Smart Mater. Struct.
, 22
(2
), p. 023001
.13.
Pellegrini
, S. P.
Tolou
, N.
Schenk
, M.
Herder
, J. L.
2013
, “Bistable Vibration Energy Harvesters: A Review
,” J. Intell. Mater. Syst. Struct.
, 24
(11
), pp. 1303
–1312
.14.
Daqaq
, M. F.
2012
, “On Intentional Introduction of Stiffness Nonlinearities for Energy Harvesting Under White Gaussian Excitations
,” Nonlinear Dyn.
, 69
(3
), pp. 1063
–1079
.15.
Daqaq
, M. F.
Masana
, R.
Erturk
, A.
Quinn
, D. D.
2014
, “On the Role of Nonlinearities in Vibratory Energy Harvesting: A Critical Review and Discussion
,” ASME Appl. Mech. Rev.
, 66
(4
), p. 040801
.16.
Quinn
, D. D.
Triplett
, A. L.
Bergman
, L. A.
Vakakis
, A. F.
2011
, “Comparing Linear and Essentially Nonlinear Vibration-Based Energy Harvesting
,” ASME J. Vib. Acoust.
, 133
(1
), p. 011001
.17.
Daqaq
, M. F.
2010
, “Response of Uni-Modal Duffing-Type Harvesters to Random Forced Excitations
,” J. Sound Vib.
, 329
(18
), pp. 3621
–3631
.18.
Daqaq
, M. F.
2011
, “Transduction of a Bistable Inductive Generator Driven by White and Exponentially Correlated Gaussian Noise
,” J. Sound Vib.
, 330
(11
), pp. 2554
–2564
.19.
Zhao
, S.
Erturk
, A.
2013
, “Electroelastic Modeling and Experimental Validations of Piezoelectric Energy Harvesting From Broadband Random Vibrations of Cantilevered Bimorphs
,” Smart Mater. Struct.
, 22
(1
), p. 015002
.20.
Aridogan
, U.
Basdogan
, I.
Erturk
, A.
2014
, “Analytical Modeling and Experimental Validation of a Structurally Integrated Piezoelectric Energy Harvester on a Thin Plate
,” Smart Mater. Struct.
, 23
(4
), p. 045039
.21.
Erturk
, A.
Inman
, D. J.
2009
, “An Experimentally Validated Bimorph Cantilever Model for Piezoelectric Energy Harvesting From Base Excitations
,” Smart Mater. Struct.
, 18
(2
), p. 025009
.22.
Erturk
, A.
Tarazaga
, P. A.
Farmer
, J. R.
Inman
, D. J.
2009
, “Effects of Strain Nodes and Electrode Configuration on Piezoelectric Energy Harvesting From Cantilevered Beams
,” ASME J. Vib. Acoust.
, 131
(1
), p. 011010
.23.
Wickenheiser
, A. M.
2013
, “Model Reduction in Stochastic Vibration Energy Harvesting Using Compressive Sampling
,” Smart Mater. Struct.
, 22
(9
), p. 094029
.24.
Yoon
, H.
Youn
, B. D.
Kim
, H. S.
2016
, “Kirchhoff Plate Theory-Based Electromechanically-Coupled Analytical Model Considering Inertia and Stiffness Effects of a Surface-Bonded Piezoelectric Patch
,” Smart Mater. Struct.
, 25
(2
), p. 025017
.25.
Aridogan
, U.
Basdogan
, I.
Erturk
, A.
2014
, “Board-Band and Band-Limited Random Vibration Energy Harvesting Using a Piezoelectric Patch on a Thin Plate
,” Proc. SPIE
, 9057
, p. 905710
.26.
Lin
, Y. K.
Cai
, G. Q.
1995
, Probabilistic Structural Dynamics: Advanced Theory and Application
, McGraw-Hill
, New York
.27.
Crandall
, S. H.
Wittig
, L. E.
1972
, “Chladni’s Patterns for Random Vibration of a Plate
,” Dynamic Response of Structures
, G.
Herrmann
N.
Perrone
Pergamon Press
, New York
, pp. 55
–71
.28.
Crandall
, S. H.
1977
, “Structured Response Patterns Due to Wide-Band Random Excitation
,” Stochastic Problems in Dynamics
, B. K.
Clarkson
Pitman
, London
, pp. 366
–389
.29.
Elishakoff
, I.
van Zanten
, A. T.
Crandall
, S. H.
1979
, “Wide-Band Random Axisymmetric Vibration of Cylindrical Shells
,” ASME J. Appl. Mech.
, 46
(2
), pp. 417
–423
.30.
Crandall
, S. H.
1980
, “Localization Response Reductions in Wide-Band Random Vibration of Uniform Structures
,” Ing.-Arch.
, 49
(5–6), pp. 347
–359
.31.
Elishakoff
, I.
Ducreux
, B.
2014
, “Dramatic Effect of Cross-Correlations in Random Vibration of Point-Driven Spherically Curved Panel
,” Arch. Appl. Mech.
, 84
(4
), pp. 473
–490
.32.
Elishakoff
, I.
Santoro
, R.
2014
, “Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation
,” Arch. Appl. Mech.
, 84
(3
), pp. 355
–374
.33.
Tian
, Y. P.
Jin
, X. L.
Wang
, Y.
2016
, “Strengthening Phenomenon-Inspirited Optimum Design of Random Vibration Energy Harvester
,” J. Zhejiang Univ. (Eng. Sci.)
, 50
(5
), pp. 934
–940
(in Chinese).34.
Parton
, V. Z.
Kudryavtsev
, B. A.
1988
, Electromagnetoelasticity
, Gordon and Breach Science Publishers
, New York
.35.
Mitchell
, J. A.
Reddy
, J. N.
1995
, “A Refined Hybrid Plate Theory for Composite Laminates With Piezoelectric Laminae
,” Int. J. Solids Struct.
, 32
(16
), pp. 2345
–2367
.36.
Feng
, X.
Yang
, B.
Liu
, Y.
Wang
, Y.
Dagdeviren
, C.
Liu
, Z.
Carlson
, A.
Li
, J.
Huang
, Y.
Rogers
, J. A.
2011
, “Stretchable Ferroelectric Nanoribbons With Wavy Configurations on Elastomeric Substrates
,” ACS Nano
, 5
(4
), pp. 3326
–3332
.37.
Wang
, Y.
Feng
, X.
Lu
, B. W.
Wang
, G. F.
2013
, “Surface Effects on the Mechanical Behavior of Buckled Thin Film
,” ASME J. Appl. Mech.
, 80
(2
), p. 021002
.38.
Bolotin
, V. V.
1984
, Random Vibration of Elastic Systems
, Martinus Nijhoff Publishers
, Leiden, The Netherlands
.Copyright © 2018 by ASME
You do not currently have access to this content.
