SpringerLink
Log in

A study on vibration localization and energy harvesting of periodic acoustic black hole structure

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

The acoustic black hole effect (ABH) has the phenomenon of non-reflection elastic wave aggregation, which makes the vibration energy of the ABH structure concentrate at the end of the structure and can be used for vibration energy harvesting. The periodic structure composed of ABH units can generate topological interface states at the connection with different structural parameter values on both sides, which results vibration localization for the structure and is more conducive to the efficiency of vibration energy harvesting. In this paper, we first analyze the band structure of two kinds of ABH units, and calculate Dirac cone and topological phase inversion. Then, two kinds of ABH units are adopted, separately and in combination, to constitute three kinds of finite periodic beams. The topological interface state of the beam with free boundary and the vibration localization of the beam supported at both ends are discussed respectively. Finally, the vibration energy harvesting of the composite unit periodic beam is investigated. The results show that the vibration localization effect of the composite unit periodic beam is the most obvious, which significantly improves the energy harvesting efficiency. This work provides a design reference for the application of ABH structure in the energy harvester.

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

Access this article

Log in via an institution

Price includes VAT (Germany)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Krylov VV (1998) On the velocities of localized vibration modes in immersed solid wedges. J Acoust Soc Am 103(2):767–770

    Article  MathSciNet  Google Scholar 

  2. Krylov VV, Tilman FJBS (2004) Acoustic ‘black holes’ for flexural waves as effective vibration dampers. J Sound Vib 274:605–619

    Article  Google Scholar 

  3. Krylov VV (2004) New type of vibration dampers utilising the effect of acoustic’black holes’. Acta Acust United Acust 90:830–837

    Google Scholar 

  4. Zhao L, Conlon SC, Semperlotti F (2014) Broadband energy harvesting using acoustic black hole structural tailoring. Smart Mater Struct 23:065021

    Article  Google Scholar 

  5. Thomas O, Ducarne J, Deü J-F (2012) Performance of piezoelectric shunts for vibration reduction. Smart Mater Struct 21(1):015008. https://doi.org/10.1088/0964-1726/21/1/015008

    Article  Google Scholar 

  6. Piñeirua M, Doaré O, Michelin S (2015) Influence and optimization of the electrodes position in a piezoelectric energy harvesting flag. J Sound Vib 346:200–215. https://doi.org/10.1016/j.jsv.2015.01.010

    Article  Google Scholar 

  7. Bisegna P, Caruso G, Maceri F (2006) Optimized electric networks for vibration dam** of piezoactuated beams. J Sound Vib 289:908–937

    Article  Google Scholar 

  8. Hasan MN, Muktadir M, Alam M (2022) Comparative study of tapered shaped bimorph piezoelectric energy harvester via finite element analysis. Forces Mech 9:100131

    Article  Google Scholar 

  9. Hasan MN, Wang S, Arab A, Wang F (2018) Optimum study of power efficiency of a THUNDER harvester. Am Soc Mech Eng. https://doi.org/10.1115/SMASIS2018-8031

    Article  Google Scholar 

  10. Hasan MZ, Kane CL (2010) Colloquium: topological insulators. Rev Mod Phys 82:3045

    Article  Google Scholar 

  11. Lu L, Joannopoulos JD, Solijacic M (2014) Topological photonics. Nat Photonics 8:821

    Article  Google Scholar 

  12. **ao M, Ma G, Yang Z, Sheng P, Zhang Z, Chan CT (2015) Geometric phase and band inversion in periodic acoustic systems. Nat Phys 11:240

    Article  Google Scholar 

  13. Cha J, Kim KW, Daraio C (2018) Experimental realization of on-chip topological nanoelectromechanical metamaterials. Nature 564:229

    Article  Google Scholar 

  14. Laude V (2015) Phononic crystals: artificial crystals for sonic, acoustic, and elastic waves. Walter de Gruyter GmbH & Co KG

    Book  MATH  Google Scholar 

  15. Zhu R, Liu X, Hu G, Sun C, Huang G (2014) Negative refraction of elastic waves at the deep-subwavelength scale in a single-phase metamaterial. Nat Commun 5:5510

    Article  Google Scholar 

  16. Liu W, Su X (2010) Collimation and enhancement of elastic transverse waves in two-dimensional solid phononic crystals. Phys Lett A 374:2968

    Article  Google Scholar 

  17. Chen Z-G, Ying Wu (2016) Tunable topological phononic crystals. Phys Rev Appl 5:054021

    Article  Google Scholar 

  18. Wang P, Ling Lu, Bertoldi K (2015) Topological phononic crystals with one-way elastic edge waves. Phys Rev Lett 115:104302

    Article  Google Scholar 

  19. Zak J (1989) Berry’s phase for energy bands in solids. Phys Rev Lett 62:2747–2750

    Article  Google Scholar 

  20. Fan L, He Y, Chen X-A, Zhao X (2019) Acoustic energy harvesting based on the topological interface mode of 1D phononic crystal tube. Appl Phys Express 13:017004

    Article  Google Scholar 

  21. Lan C, Hu G, Tang L, Yang Y (2021) Energy localization and topological protection of a locally resonant topological metamaterial for robust vibration energy harvesting. J Appl Phys 129:184502

    Article  Google Scholar 

  22. Wen Z, ** Y, Gao P, Zhuang X, Rabczuk T, Djafari-Rouhani B (2022) Topological cavities in phononic plates for robust energy harvesting. Mech Syst Signal Process 162:108047

    Article  Google Scholar 

  23. Sheng H, He M-X, Lyu X-F, Ding Q (2022) Ultra-low frequency broadband gap optimization of 1D periodic structure with dual power-law acoustic black holes. J Intell Mater Syst Struct 33(4):532–546

    Article  Google Scholar 

  24. Lyu X, Li H, Ma Z, Ding Q, Yang T, Chen L, Zur KK (2021) Numerical and experimental evidence of topological interface state in a periodic acoustic black hole. J Sound Vib 514:116432

    Article  Google Scholar 

  25. Tang L, Cheng L, Ji H, Qiu J (2016) Characterization of acoustic black hole effect using a one-dimensional fully-coupled and wavelet-decomposed semi-analytical model. J Sound Vib 374:172–184

    Article  Google Scholar 

  26. Ji H, Liang Y, Qiu J, Cheng L, Wu Y (2019) Enhancement of vibration based energy harvesting using compound acoustic black holes. Mech Syst Signal Process 132:441–456

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (grant numbers 11972245 and 12132010).

Author information

Authors and Affiliations

  1. Department of Mechanics, Tian** University, Tian**, 300350, China

    Lu Yan & Qian Ding

  2. Tian** Key Laboratory of Nonlinear Dynamics and Control, Tian**, 300350, China

    Lu Yan & Qian Ding

Authors
  1. Lu Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Qian Ding
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Qian Ding.

Ethics declarations

Conflict of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yan, L., Ding, Q. A study on vibration localization and energy harvesting of periodic acoustic black hole structure. Meccanica 58, 1749–1764 (2023). https://doi.org/10.1007/s11012-023-01703-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-023-01703-z

Keywords

Search

Navigation