Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting

Weiqiang Mo; Dawei Shi; Shiqing Huang; Yubin Lin; Baoshan Huang; Fengshou Gu; Andrew D. Ball

doi:10.1007/978-3-031-73407-6_55

Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting

Weiqiang Mo, Dawei Shi, Shiqing Huang, Yubin Lin, Baoshan Huang, Fengshou Gu, Andrew D. Ball

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Citations (Scopus)

Abstract

When the elastic wave propagates in the special graded structure, the spatial frequency division and the wave energy concentration will emerge, which is called the rainbow trapping effect of elastic wave. Research on rainbow trapping effect will contribute to the advance of mechanical condition monitoring, vibration propagation and energy recovery. In this research, a novel triangular graded metamaterial beam (TGMB) is proposed to research on the flexural wave rainbow trapping effect and multiband vibration energy harvesting. Firstly, band structures of unit cells on the TGMB can be obtain from the finite element analysis, and the mechanism of the rainbow trapping of flexural waves is studied according to the band structures. Secondly, the spatial frequency division and the wave energy enhancement will be analyzed and validated by frequency domain and time domain finite element simulations on TGMB. Finally, an energy harvesting prototype was fabricated by pasting piezoelectric patches onto the TGMB, the multiband energy harvesting of the graded structure and the influence of incident wave frequency have been researched by the experiments. The results illustrate that the energy harvester based on TGMB can collect electrical power on three cut-off frequencies effectively.

Original language	English
Title of host publication	Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP
Editors	Zuolu Wang, Kai Zhang, Ke Feng, Yuandong Xu, Wenxian Yang
Publisher	Springer, Cham
Pages	610-620
Number of pages	11
Volume	141
ISBN (Electronic)	9783031734076
ISBN (Print)	9783031734069, 9783031734090
DOIs	https://doi.org/10.1007/978-3-031-73407-6_55
Publication status	Published - 20 Oct 2024
Event	TEPEN International Workshop on Fault Diagnostic and Prognostic - Qingdao, China Duration: 8 May 2024 → 11 May 2024

Publication series

Name	Mechanisms and Machine Science
Publisher	Springer
Volume	141 MMS
ISSN (Print)	2211-0984
ISSN (Electronic)	2211-0992

Conference

Conference	TEPEN International Workshop on Fault Diagnostic and Prognostic
Abbreviated title	TEPEN2024-IWFDP
Country/Territory	China
City	Qingdao
Period	8/05/24 → 11/05/24

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

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Mo, W., Shi, D., Huang, S., Lin, Y., Huang, B., Gu, F., & Ball, A. D. (2024). Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting. In Z. Wang, K. Zhang, K. Feng, Y. Xu, & W. Yang (Eds.), Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP (Vol. 141, pp. 610-620). (Mechanisms and Machine Science; Vol. 141 MMS). Springer, Cham. https://doi.org/10.1007/978-3-031-73407-6_55

Mo, Weiqiang ; Shi, Dawei ; Huang, Shiqing et al. / Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting. Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP. editor / Zuolu Wang ; Kai Zhang ; Ke Feng ; Yuandong Xu ; Wenxian Yang. Vol. 141 Springer, Cham, 2024. pp. 610-620 (Mechanisms and Machine Science).

@inproceedings{f66db34037974425aa0a94b3f462f9ac,

title = "Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting",

abstract = "When the elastic wave propagates in the special graded structure, the spatial frequency division and the wave energy concentration will emerge, which is called the rainbow trapping effect of elastic wave. Research on rainbow trapping effect will contribute to the advance of mechanical condition monitoring, vibration propagation and energy recovery. In this research, a novel triangular graded metamaterial beam (TGMB) is proposed to research on the flexural wave rainbow trapping effect and multiband vibration energy harvesting. Firstly, band structures of unit cells on the TGMB can be obtain from the finite element analysis, and the mechanism of the rainbow trapping of flexural waves is studied according to the band structures. Secondly, the spatial frequency division and the wave energy enhancement will be analyzed and validated by frequency domain and time domain finite element simulations on TGMB. Finally, an energy harvesting prototype was fabricated by pasting piezoelectric patches onto the TGMB, the multiband energy harvesting of the graded structure and the influence of incident wave frequency have been researched by the experiments. The results illustrate that the energy harvester based on TGMB can collect electrical power on three cut-off frequencies effectively.",

keywords = "Energy Recovery, Flexural Wave, Graded Metamaterial, Multiband, Rainbow Trapping",

author = "Weiqiang Mo and Dawei Shi and Shiqing Huang and Yubin Lin and Baoshan Huang and Fengshou Gu and Ball, \{Andrew D.\}",

note = "Funding Information: This research was funded by the National Natural Science Foundation of China (Grant No. 52275102), the Special Projects in Key Areas of the Education Department of Guangdong Province (Grant No. 2022ZDZX3044), and the Young Innovative Talents Project of the Education Department of Guangdong Province (Grant No. 2022KQNCX154). Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.; TEPEN International Workshop on Fault Diagnostic and Prognostic, TEPEN2024-IWFDP ; Conference date: 08-05-2024 Through 11-05-2024",

year = "2024",

month = oct,

day = "20",

doi = "10.1007/978-3-031-73407-6\_55",

language = "English",

isbn = "9783031734069",

volume = "141",

series = "Mechanisms and Machine Science",

publisher = "Springer, Cham",

pages = "610--620",

editor = "Zuolu Wang and Kai Zhang and Ke Feng and Yuandong Xu and Wenxian Yang",

booktitle = "Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP",

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Mo, W, Shi, D, Huang, S, Lin, Y, Huang, B, Gu, F & Ball, AD 2024, Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting. in Z Wang, K Zhang, K Feng, Y Xu & W Yang (eds), Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP. vol. 141, Mechanisms and Machine Science, vol. 141 MMS, Springer, Cham, pp. 610-620, TEPEN International Workshop on Fault Diagnostic and Prognostic, Qingdao, China, 8/05/24. https://doi.org/10.1007/978-3-031-73407-6_55

Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting. / Mo, Weiqiang; Shi, Dawei; Huang, Shiqing et al.
Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP. ed. / Zuolu Wang; Kai Zhang; Ke Feng; Yuandong Xu; Wenxian Yang. Vol. 141 Springer, Cham, 2024. p. 610-620 (Mechanisms and Machine Science; Vol. 141 MMS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting

AU - Mo, Weiqiang

AU - Shi, Dawei

AU - Huang, Shiqing

AU - Lin, Yubin

AU - Huang, Baoshan

AU - Gu, Fengshou

AU - Ball, Andrew D.

N1 - Funding Information: This research was funded by the National Natural Science Foundation of China (Grant No. 52275102), the Special Projects in Key Areas of the Education Department of Guangdong Province (Grant No. 2022ZDZX3044), and the Young Innovative Talents Project of the Education Department of Guangdong Province (Grant No. 2022KQNCX154). Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

PY - 2024/10/20

Y1 - 2024/10/20

N2 - When the elastic wave propagates in the special graded structure, the spatial frequency division and the wave energy concentration will emerge, which is called the rainbow trapping effect of elastic wave. Research on rainbow trapping effect will contribute to the advance of mechanical condition monitoring, vibration propagation and energy recovery. In this research, a novel triangular graded metamaterial beam (TGMB) is proposed to research on the flexural wave rainbow trapping effect and multiband vibration energy harvesting. Firstly, band structures of unit cells on the TGMB can be obtain from the finite element analysis, and the mechanism of the rainbow trapping of flexural waves is studied according to the band structures. Secondly, the spatial frequency division and the wave energy enhancement will be analyzed and validated by frequency domain and time domain finite element simulations on TGMB. Finally, an energy harvesting prototype was fabricated by pasting piezoelectric patches onto the TGMB, the multiband energy harvesting of the graded structure and the influence of incident wave frequency have been researched by the experiments. The results illustrate that the energy harvester based on TGMB can collect electrical power on three cut-off frequencies effectively.

AB - When the elastic wave propagates in the special graded structure, the spatial frequency division and the wave energy concentration will emerge, which is called the rainbow trapping effect of elastic wave. Research on rainbow trapping effect will contribute to the advance of mechanical condition monitoring, vibration propagation and energy recovery. In this research, a novel triangular graded metamaterial beam (TGMB) is proposed to research on the flexural wave rainbow trapping effect and multiband vibration energy harvesting. Firstly, band structures of unit cells on the TGMB can be obtain from the finite element analysis, and the mechanism of the rainbow trapping of flexural waves is studied according to the band structures. Secondly, the spatial frequency division and the wave energy enhancement will be analyzed and validated by frequency domain and time domain finite element simulations on TGMB. Finally, an energy harvesting prototype was fabricated by pasting piezoelectric patches onto the TGMB, the multiband energy harvesting of the graded structure and the influence of incident wave frequency have been researched by the experiments. The results illustrate that the energy harvester based on TGMB can collect electrical power on three cut-off frequencies effectively.

KW - Energy Recovery

KW - Flexural Wave

KW - Graded Metamaterial

KW - Multiband

KW - Rainbow Trapping

UR - https://www.scopus.com/pages/publications/85208190313

UR - https://doi.org/10.1007/978-3-031-73407-6

U2 - 10.1007/978-3-031-73407-6_55

DO - 10.1007/978-3-031-73407-6_55

M3 - Conference contribution

AN - SCOPUS:85208190313

SN - 9783031734069

SN - 9783031734090

VL - 141

T3 - Mechanisms and Machine Science

SP - 610

EP - 620

BT - Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP

A2 - Wang, Zuolu

A2 - Zhang, Kai

A2 - Feng, Ke

A2 - Xu, Yuandong

A2 - Yang, Wenxian

PB - Springer, Cham

T2 - TEPEN International Workshop on Fault Diagnostic and Prognostic

Y2 - 8 May 2024 through 11 May 2024

ER -

Mo W, Shi D, Huang S, Lin Y, Huang B, Gu F et al. Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting. In Wang Z, Zhang K, Feng K, Xu Y, Yang W, editors, Proceedings of the TEPEN International Workshop on Fault Diagnostic and Prognostic - TEPEN2024-IWFDP. Vol. 141. Springer, Cham. 2024. p. 610-620. (Mechanisms and Machine Science). Epub 2024 Oct 19. doi: 10.1007/978-3-031-73407-6_55

Graded Metamaterial Beam for Flexural Wave Rainbow Trapping and Multiband Energy Harvesting

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