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Bandgap Properties for the Folded S-Type Periodic Structure: Numerical Simulation and Experiment

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Abstract

The central wavelength of the first Bragg scattering bandgap is approximately twice that of the lattice. Therefore, a low-frequency Bragg scattering bandgap with a small structural dimension for phononic crystals is difficult to obtain. In this study, a folded S-type periodic structure is developed to reduce the dimension in the direction of vibration suppression by folding unit cells. According to the foregoing, an improved folded S-type periodic structure with different unit cell arrangements is designed to widen the bandgap frequency range. Energy band diagrams and frequency responses are calculated based on the Bloch theory and using the finite element method. Furthermore, a prototype of the improved folded S-type periodic structure is fabricated using a three-dimensional printing technique, and a vibration experiment is conducted. To verify the vibration reduction performance of the structure, numerical simulation and experimental results are compared. This type of folded periodic structure can effectively reduce dimensions to satisfy the dimension requirements pertaining to the direction of vibration suppression. Hence, the foregoing can aid in promoting the use of elastic bandgap structures in engineering.

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All data generated or analysed used to support the findings of this study are included within the article.

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Funding

This research is supported by the National Natural Science Foundation of China (Nos. 12072086, 12211540384 and 11761131006) and the Fundamental Research Funds for the Central Universities (No. 3072022CF0203).

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Contributions

TH and ZW conceived the idea and contributed to methodology, software, formal analysis, experiment, data compilation, writing original draft and validation. ZW and FL were involved in funding acquisition. FL contributed to validation and supervision.

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Correspondence to Zhijing Wu.

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No conflict of interest exists in the submission of this paper, and the paper is approved by all authors for publication.

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Huo, T., Wu, Z. & Li, F. Bandgap Properties for the Folded S-Type Periodic Structure: Numerical Simulation and Experiment. Acta Mech. Solida Sin. 36, 624–632 (2023). https://doi.org/10.1007/s10338-023-00389-w

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  • DOI: https://doi.org/10.1007/s10338-023-00389-w

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