Skip to main content
Log in

Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The nonlinear behaviors of a circular-cylinder piezoelectric power harvester (CCPPH) near resonance are analyzed based on the flow-induced flexural vibration mode. The geometrically-nonlinear effect of the cylinder is studied with considering the in-plane extension incidental to the large deflection. The boundary electric charges generated from two deformation modes, flexure and in-plane extension, were distinguished with each other because the charge corresponding to the latter mode produces no contribution to the output current. Numerical results on output powers show that there are multivaluedness and jump behaviors.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Roundy, S., Wright, P. K., and Rabaey, J. A study of low level vibrations as a power source for wireless sensor nodes. Computer Communications, 26, 1131–1144 (2003)

    Article  Google Scholar 

  2. Cho, Y. S., Pak, Y. E., Han, C. S., and Ha, S. K. Fiver-port equivalent electric circuit of piezoelectric bimorph beam. Sensors and Actuators, 84, 140–148 (2000)

    Article  Google Scholar 

  3. Jiang, S. N. and Hu, Y. T. Analysis of a piezoelectric bimorph plate with a central-attached mass as an energy harvester. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 54, 1463–1469 (2007)

    Article  Google Scholar 

  4. Jiang, S. N., Li, X. F., Guo, S. H., Hu, Y. T., Yang, J. S., and Jiang, Q. Performance of a piezoelectric bimorph for scavenging vibration energy. Smart Materials and Structures, 14, 769–774 (2005)

    Article  Google Scholar 

  5. Allen, J. J. and Smits, A. J. Energy harvesting eel. Journal of Fluids and Structures, 15, 629–640 (2001)

    Article  Google Scholar 

  6. Carroll, C. B. Energy Harvesting Eel, United States Patent, Patent No.US-6424079-B1 (2002)

    Google Scholar 

  7. Akaydin, H. D., Elvin, N., and Andreopoulos, Y. Energy harvesting from highly unsteady fluid flows using piezoelectric materials. Journal of Intelligent Material Systems and Structures, 21, 1263–1278 (2010)

    Article  Google Scholar 

  8. Xie, J. M., Yang, J. S., Hu, H. P., Hu, Y. T., and Chen, X. D. A piezoelectric energy harvester based on flow-induced flexural vibration of a circular cylinder. Journal of Intelligent Material Systems and Structures, 23, 135–139 (2011)

    Article  Google Scholar 

  9. Yang, J. S., Zhou, H. G., Hu, Y. T., and Jiang, Q. Performance of a piezoelectric harvester in thickness-stretch mode of a plate. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 52, 1872–1876 (2005)

    Article  Google Scholar 

  10. Hu, Y. T., Xue, H., Yang, J. S., and Jiang, Q. A Nonlinear behavior of a piezoelectric power harvester near resonance. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 53, 1387–1391 (2006)

    Article  Google Scholar 

  11. Xue, H. and Hu, H. P. Nonlinear characteristics of a circular plate piezoelectric harvester with relatively large deflection near resonance. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 55, 2092–2096 (2008)

    Article  Google Scholar 

  12. Kim, S., Clark, W. W., and Wang, Q. M. Piezoelectric energy harvesting with a clamped circular plate: analysis. Journal of Intelligent Material Systems and Structures, 16, 847–854 (2005)

    Article  Google Scholar 

  13. Kim, S., Clark, W. W., and Wang, Q. M. Piezoelectric energy harvesting with a clamped circular plate: experimental study. Journal of Intelligent Material Systems and Structures, 16, 855–863 (2005)

    Article  Google Scholar 

  14. Fung, Y. C. Some aemoelastic problems in civil and mechanical engineering. An Introduction to the Theory of Aeroelasticity, Dover Publications Inc., New York (1969)

    Google Scholar 

  15. Eisley, J. G. Nonlinear vibration of beams and rectangular plates. Zeitschrift f ür Angewandte Mathematik und Physik, 15, 167–175 (1964)

    Article  MATH  MathSciNet  Google Scholar 

  16. Pirbodaghi, T., Fesanghary, M., and Ahmadian, M. T. Non-linear vibration analysis of laminated composite plates resting on non-linear elastic foundations. Journal of the Franklin Institute, 348, 353–368 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  17. Auld, B. A. Properties of materials. Acoustic Fields and Waves in Solids, John Wiley & Sons Inc., New York (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yuan-tai Hu  (胡元太).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10932004 and 11272127) and a grant from the Impact and Safety of Coastal Engineering Initiative, a Center of Excellence Program of Zhejiang Provincial Government at Ningbo University (No. zj1213)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, Hr., Xie, Jm., Xie, X. et al. Nonlinear characteristics of circular-cylinder piezoelectric power harvester near resonance based on flow-induced flexural vibration mode. Appl. Math. Mech.-Engl. Ed. 35, 229–236 (2014). https://doi.org/10.1007/s10483-014-1786-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-014-1786-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation