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Wave attenuation of a multi-span continuous beam with variable cross sections

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Abstract

This paper studies the vibration band-gaps of a non-uniform beam with periodically continuous variable cross sections and hinged supports. The governing equation of the beam is obtained by using spectral element method. The frequency responses of the beam under external excitation are shown. The accuracy and efficiency of the spectral element method are validated. The advantages of the proposed beam are discussed. The influences of the structural and material parameters on the band-gap properties are explored, such as the height curve, the disordered vibration absorbers, and the material attributes. The coupling effects of the local resonance band-gaps and the Bragg scattering band-gaps are explored and can be used to design the band-gap structure. The displacement amplitudes of the beam for different excitation frequencies are shown.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12172119 and 11872169 and Natural Science Foundation of Jiangsu Province under Grant No. BK20191295. The authors thank the anonymous reviewers for their helpful comments and suggestions that have helped to improve the presentation.

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  1. Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

    Xiaochen Mao, Liufei Zhang & Xinlei Fan

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  1. Xiaochen Mao
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  2. Liufei Zhang
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  3. Xinlei Fan
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Correspondence to Xiaochen Mao.

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Mao, X., Zhang, L. & Fan, X. Wave attenuation of a multi-span continuous beam with variable cross sections. Acta Mech 234, 1451–1464 (2023). https://doi.org/10.1007/s00707-022-03465-3

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  • DOI: https://doi.org/10.1007/s00707-022-03465-3

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