Skip to main content
SpringerLink
Log in

Design of piezoelectric energy harvesting devices subjected to broadband random vibrations by applying topology optimization

  • Research Paper
  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Converting ambient vibration energy into electrical energy by using piezoelectric energy harvester has attracted a lot of interest in the past few years. In this paper, a topology optimization based method is applied to simultaneously determine the optimal layout of the piezoelectric energy harvesting devices and the optimal position of the mass loading. The objective function is to maximize the energy harvesting performance over a range of vibration frequencies. Pseudo excitation method (PEM) is adopted to analyze structural stationary random responses, and sensitivity analysis is then performed by using the adjoint method. Numerical examples are presented to demonstrate the validity of the proposed approach.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Roundy, S., Wright, P.K., Rabaey, J.: A study of low level vibrations as a power source for wireless sensor nodes. Computer Communications 26(11), 1131–1144 (2003)

    Article  Google Scholar 

  2. Lu, F., Lee, H. P., Lim, S.P.: Modeling and analysis of micro piezoelectric power generators for micro-electromechanical-systems applications. Smart Materials and Structures 13(1), 57–63 (2004)

    Article  Google Scholar 

  3. Sodano, H.A., Lloyd, J., Inman, D.J.: An experimental comparison between several active composite actuators for power generation. Smart Materials and Structures 15(5), 1211–1216 (2006)

    Article  Google Scholar 

  4. Erturk, A., Inman, D.J.: A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters. Journal of Vibration and Acoustics 130(4), 041002 (2008)

    Article  Google Scholar 

  5. Anton, S.R., Sodano, H.A.: A review of power harvesting using piezoelectric materials (2003–2006). Smart Materials and Structures 16(3), R1–R21 (2007)

    Article  Google Scholar 

  6. Goldschmidtboeing, F., Woias, P.: Characterization of different beam shapes for piezoelectric energy harvesting. Journal of Micromechanics and Microengineering 18(10), 104013 (2008)

    Article  Google Scholar 

  7. Mo, C., Kim, S., Clark, W.W.: Theoretical analysis of energy harvesting performance for unimorph piezoelectric benders with interdigitated electrodes. Smart Materials and Structures 18(5), 055017 (2009)

    Article  Google Scholar 

  8. Lee, S., Youn, B.D., Jung, B.C.: Robust segment-type energy harvester and its application to a wireless sensor. Smart Materials and Structures 18(9), 095021 (2009)

    Article  Google Scholar 

  9. Silva, E.C.N., Kikuchi, N.: Design of piezocomposite materials and piezoelectric transducers using topology optimization - part III. Archives of Computational Methods in Engineering 6(4), 305–329 (1999)

    Article  MathSciNet  Google Scholar 

  10. Buehler, M.J., Bettig, B., Parker, G.G.: Topology optimization of smart structures using a homogenization approach. Journal of Intelligent Material Systems and Structure 15(8), 655–667 (2004)

    Article  Google Scholar 

  11. Kögl, M., Silva, E.C.N.: Topology optimization of smart structures: design of piezoelectric plate and shell actuators. Smart Materials and Structures 14(2), 387–399 (2005)

    Article  Google Scholar 

  12. Carbonari, C.C., Silva, E.C.N., Nishiwaki, S.: Optimum placement of piezoelectric material in piezoactuator design. Smart Materials and Structures 16(1), 207–220 (2007)

    Article  Google Scholar 

  13. Ha, Y., Cho, S.: Design sensitivity analysis and topology optimization of eigenvalue problems for piezoelectric resonators. Smart Materials and Structures 15(6), 1513–1524 (2006)

    Article  Google Scholar 

  14. Zheng, B., Chang, C.J., Gea, H.C.: Topology optimization of energy harvesting devices using piezoelectric materials. Struct Multidisc Optim. 38(1), 17–23 (2009)

    Article  Google Scholar 

  15. Nakasone P.H., Silva, E.C.N.: Design of piezoelectric energy harvesting devices and laminate structures by applying topology optimization. In: Proc. of SPIE 7286, 728603 (2009)

    Article  Google Scholar 

  16. Lin, J.H.: A fast CQC algorithm of PSD matrices for random seismic responses. Computers and Structure 44(3), 683–687 (1992)

    Article  Google Scholar 

  17. Clough, R.W., Penzien, J.: Dynamics of Structures. (2nd edn.) McGraw-Hill, New York (1994)

    Google Scholar 

  18. Lin, J., Zhao, Y., Zhang, Y.: Accurate and highly efficient algorithms for structural stationary/non-stationary random responses. Computer Methods in Applied Mechanics and Engineering 191(1–2), 103–111 (2001)

    Article  MATH  Google Scholar 

  19. Zhu, X.H., Yu, Z.X.: ANSYS Finite Element Analysis of Advanced Engineering Sample Selection. Publishing House of Electronics Industry, Beijing (2004) (in Chinese)

    Google Scholar 

  20. Roundy, S., Wright, P.K.: A piezoelectric vibration based generator for wireless electronics. Smart Materials and Structures 13(5), 1131–1142 (2004)

    Article  Google Scholar 

  21. Roundy, S., Leland, E.S., Baker, J., et al.: Improving power output for vibration-based energy scavengers. IEEE Pervasive Computing 4(1), 28–36 (2005)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian University of Technology, 116024, Dalian, China

    Zhe-Qi Lin & Shu-Tian Liu

  2. Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, NJ, 08854, USA

    Hae Chang Gea

Authors
  1. Zhe-Qi Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hae Chang Gea
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shu-Tian Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Shu-Tian Liu.

Additional information

The project was supported by the National Basic Research Program of China (2011CB610304), the National Science & Technology Major Project (2009ZX04014-034) and the Research Fund for the Doctoral Program of Higher Education of China (20090041110023).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lin, ZQ., Gea, H.C. & Liu, ST. Design of piezoelectric energy harvesting devices subjected to broadband random vibrations by applying topology optimization. Acta Mech Sin 27, 730–737 (2011). https://doi.org/10.1007/s10409-011-0491-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10409-011-0491-3

Keywords

Search

Navigation