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Band gap analysis of periodic structures based on cell experimental frequency response functions (FRFs)

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Abstract

An approach is proposed to estimate the transfer function of the periodic structure, which is known as an absorber due to its repetitive cells leading to the band gap phenomenon. The band gap is a frequency range in which vibration will be inhibited. A transfer function is usually performed to gain band gap. Previous scholars regard estimation of the transfer function as a forward problem assuming known cell mass and stiffness matrices. However, the estimation of band gap for irregular or complicated cells is hardly accurate because it is difficult to model the cell exactly. Therefore, we treat the estimation as an inverse problem by employing modal identification and curve fitting. A transfer matrix is then established by parameters identified through modal analysis. Both simulations and experiments have been performed. Some interesting conclusions about the relationship between modal parameters and band gap have been achieved.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11272235).

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  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Li-Jie Wu & Han-Wen Song

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  1. Li-Jie Wu
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  2. Han-Wen Song
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Correspondence to Han-Wen Song.

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Wu, LJ., Song, HW. Band gap analysis of periodic structures based on cell experimental frequency response functions (FRFs). Acta Mech. Sin. 35, 156–173 (2019). https://doi.org/10.1007/s10409-018-0781-0

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  • DOI: https://doi.org/10.1007/s10409-018-0781-0

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