Effects of nonlinear piezoelectric coupling on energy harvesters under direct excitation

Nonlinear Dynamics

Volumn 67, Issue 2, 2012, Pages 1221-1232

  Abdelkefi, A ^a   Nayfeh, A H ^a   Hajj, M R ^a  

^a State University   (United States)

Author keywords

Energy harvesting; Method of multiple scales; Nonlinear analysis; Nonlinear distributed parameter model; Piezoelectric material

Indexed keywords

ANALYTICAL EXPRESSIONS; DIRECT EXCITATION; DISTRIBUTED-PARAMETER MODEL; ENERGY HARVESTER; EXCITATION AMPLITUDES; GALERKIN TECHNIQUE; GAUSS LAW; HAMILTON PRINCIPLE; METHOD OF MULTIPLE SCALE; MULTI-LAYERED; NON-LINEARITY; NONLINEAR PIEZOELECTRIC COEFFICIENT; OUTPUT VOLTAGES; PARAMETRIC STUDY; PIEZOELECTRIC COUPLINGS; PIEZOELECTRIC NONLINEARITY; REDUCED ORDER MODELS; SYSTEM RESPONSE; TIP DEFLECTION; TIP MASS; TWO-MODE APPROXIMATION;

CANTILEVER BEAMS; ENERGY HARVESTING; NONLINEAR ANALYSIS; PIEZOELECTRIC MATERIALS;

PIEZOELECTRICITY;

EID: 84855799096     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0064-9     Document Type: Article

References (38)

1. H.A. Sodano G. Park D.J. Inman 2004 Estimation of electric charge output for piezoelectric energy harvesting Strain 40 49 58 10.1111/j.1475-1305.2004. 00120.x
2. S. Priya 2007 Advances in energy harvesting using low profile piezoelectric transducers J. Electroceram. 19 167 184 10.1007/s10832-007-9043-4 (Pubitemid 47508411)
3. K.A. Cook-Chennault N. Thambi A.M. Sastry 2008 Powering MEMS portable devices-a review of non-regenerative and regenerative power supply systems with emphasis on piezoelectric energy harvesting systems Smart Mater. Struct. 17 043001 10.1088/0964-1726/17/4/043001
4. S.R. Anton H.A. Sodano 2007 A review of power harvesting using piezoelectric materials (2003-2006) Smart Mater. Struct. 16 1 21 10.1088/0964-1726/16/3/R01 (Pubitemid 46804867)
5. A. Erturk D.J. Inman 2008 A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters ASME J. Vib. Acoust. 130 041002 10.1115/1.2890402
6. S.P. Beeby M.J. Tudor N.M. White 2006 Energy harvesting vibration sources for microsystems applications Meas. Sci. Technol. 17 175 195 10.1088/0957-0233/17/12/R01 (Pubitemid 46069703)
7. Gurav, S.P.; Kasyap, A.; Sheplak, M.; Cattafesta, L.; Haftka, R.T.; Goosen, J.F.L.; Van Keulen, F.: Uncertainty-based design optimization of a micro piezoelectric composite energy reclamation device. In: 10th AIAA/ISSSMO Multidisciplinary Analysis and Optimization Conference, Albany, pp. 3559-3570 (2004) (Pubitemid 40789227)
8. P. Muralt 2000 Ferroelectric thin films for micro-sensors and actuators: a review J. Micromech. Microeng. 10 136 146 10.1088/0960-1317/10/2/307
9. Inman, D.J.; Grisso, B.L.: Towards autonomous sensing. In: Smart Structures and Materials Conference, vol. 61740T. SPIE, Bellingham (2006)
10. S. Roundy P.K. Wright 2005 A piezoelectric vibration-based generator for wireless electronics Smart Mater. Struct. 16 809 823
11. Magoteaux, K.C.; Sanders, B.; Sodano, A.H.: Investigation of energy harvesting small unmanned air vehicle. In: Smart Materials and Structures: Active and Passive Smart Structures and Integrated Systems II. Proceedings of the SPIE, vol. 6928, San Diego, CA, (2008)
12. A. Erturk J.M. Renno D.J. Inman 2009 Modeling of a piezoelectric energy harvesting from an L-shaped beam-mass structure with an application to UAVs J. Intell. Mater. Syst. Struct. 20 529 544 10.1177/1045389X08098096
13. Anton, S.R.; Inman, D.J.: Vibration energy harvesting for unmanned air vehicles. In: Smart Structures and Materials: Active and Passive Smart Structures and Integrated Systems II. Proceedings of SPIE, vol. 6982, San Diego, CA, 10-13 March (2008)
14. C.B. Williams R.B. Yates 1996 Analysis of a micro-electric generator for microsystems Sens. Actuators A 52 8 11 10.1016/0924-4247(96)80118-X (Pubitemid 126346939)
15. D. Arnold 2007 Review of microscale magnetic power generation IEEE Trans. Magn. 43 3940 3951 10.1109/TMAG.2007.906150
16. P. Mitcheson P. Miao B. Start E. Yeatman A. Holmes T. Green 2004 MEMS electrostatic micro-power generator for low frequency operation Sens. Actuators A 115 523 529 10.1016/j.sna.2004.04.026
17. H.A. Sodano D.J. Inman G. Park 2004 A review of power harvesting from vibration using piezoelectric materials Shock Vib. Dig. 36 197 205 10.1177/0583102404043275
18. A. Erturk D.J. Inman 2008 On mechanical modeling of cantilevered piezoelectric vibration energy harvesters J. Intell. Mater. Syst. Struct. 19 1311 10.1177/1045389X07085639
19. A. Erturk D.J. Inman 2009 An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations Smart Mater. Struct. 18 025009 10.1088/0964-1726/18/2/025009
20. A. Abdelkefi A.H. Nayfeh M.R. Hajj 2011 Modeling and analysis of piezoaerolastic energy harvesters Nonlinear Dyn. 10.1007/s11071-011-0035-1
21. Tiersten, H.F.: Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)
22. E.F. Crawley J. de Luis 1987 Use of actuators as elements of intelligent structures AIAA J. 25 1373 1385 10.2514/3.9792
23. S.N. Mahmoodi N. Jalili M.F. Daqaq 2008 Modeling, nonlinear dynamics, and identification of a piezoelectrically actuated microcantilver sensor IEEE/ASME Trans. Mechatron. 13 58 65 10.1109/TMECH.2008.915823 (Pubitemid 351392274)
24. U. von Wagner P. Hagedorn 2002 Piezo-beam systems subjected to weak electric field: Experiments and modelling of non-linearities J. Sound Vib. 256 861 872 10.1006/jsvi.2002.5024 (Pubitemid 35466598)
25. M.K. Samal P. Seshu S. Parashar U. von Wagner P. Hagedorn B.K. Dutta H.S. Kushwaha 2005 A finite element model for nonlinear behaviour of piezoceramics under weak electric fields Finite Elem. Anal. Des. 41 1464 1480 10.1016/j.finel.2005.05.002 (Pubitemid 41203230)
26. U. von Wagner P. Hagedorn 2003 Nonlinear effects of piezoceramics excited by weak electric fields Nonlinear Dyn. 31 133 149 10.1023/A:1022093428599 1113.74341
27. A. Triplett D.D. Quinn 2009 The effect of non-linear piezoelectric coupling on vibration-based energy harvesting J. Intell. Mater. Syst. Struct. 20 1959 10.1177/1045389X09343218
28. R. Massana M.F. Daqaq 2011 Electromechanical modeling and nonlinear analysis of axially-loaded energy harvesters J. Vib. Acoust. 133 011007 10.1115/1.4002786
29. S.C. Stanton A. Erturk B.P. Mann D.J. Inman 2010 Nonlinear piezoelectricity in electroelastic energy harvesters: Modeling and experimental identification J. Appl. Phys. 108 074903 10.1063/1.3486519
30. S.P. Joshi 1992 Nonlinear constitutive relations for piezoceramic materials Smart Mater. Struct. 1 80 83 10.1088/0964-1726/1/1/012
31. Guyomar, D.; Aurelle, N.; Richard, C.; Gonnard, P.; Eyraud, L.: Nonlinearities in Langevin transducers. In: Proc.; IEEE Ultrason. Symp. vol. 1051, pp. 925-928 (1994)
32. M. Arafa A. Baz 2004 On the nonlinear behavior of piezoelectric actuators J. Vib. Control 10 387 398 10.1177/1077546304033365 1098.74647
33. A. Abdelkefi A.H. Nayfeh M.R. Hajj 2011 Global nonlinear distributed-parameter model of parametrically excited piezoelectric energy harvesters Nonlinear Dyn. 10.1007/s11071-011-059-6
34. Nayfeh, A.H.: Perturbation Methods. Willey, New York (1973)
35. Nayfeh, A.H.: Introduction to Perturbation Techniques. Willey, New York (1981)
36. D. Guyomar N. Aurelle L. Eyraud 1997 Piezoelectric ceramics nonlinear behavior. Application to Langevin transducer J. Phys. 7 1197 1208 (Pubitemid 127802343)
37. G. Sebald J. Qiu D. Guyomar D. Hoshi 2005 Modeling and characterization of piezoelectric fibers with metal core Jpn. J. Appl. Phys. 44 6156 6163 10.1143/JJAP.44.6156 (Pubitemid 43160750)
38. W. Jiang W. Cao 2000 Nonlinear properties of lead zirconate-titanate piezoceramics J. Appl. Phys. 88 6684 6689 10.1063/1.1325384