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Natural property and vibration suppression of fluid-conveying phononic crystal pipes with axial periodic composites based on Timoshenko beam model

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Abstract

Phononic crystal (PC) structures have been applied in various engineerings since their vibration can be suppressed efficiently by the periodicity of the physical and geometrical properties. Inspired by this idea, in this paper, the free vibration and band gap (BG) characteristics of a fluid-conveying PC pipe composed of periodically varying materials are explored. The dispersion equation of the periodic pipe conveying fluid is established based on the Timoshenko beam model. By applying the spectral element method (SEM) in conjunction with the finite element method (FEM), the natural frequencies and vibration modes of the pipe are obtained, and the BG regions and vibration attenuation shapes are further achieved. The Euler–Bernoulli (E–B) beam model is also introduced for comparison. Comprehensive parametric studies are conducted. It is found that different BG location and width are presented for the Timoshenko and E-B pipe models. The number, physical and geometrical properties of the substructures and the fluid–structure interaction all have significant effects on the natural frequency, mode shape and BG performance of the PC pipe. In addition, as compared with the traditional transfer matrix method and FEM, the SEM is demonstrated a more efficient procedure to deal with not only the BG characteristics, but also natural properties of the PC dynamical structures.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China (Grant Nos. 12072311 and 11972050) and High-Level Talents Program of Yangzhou University.

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Authors and Affiliations

  1. College of Mechanical Engineering, Yangzhou University, Yangzhou, 225127, China

    Feng Liang, Yao Chen & Yu Qian

  2. College of Mechanical and Electrical Engineering, Beijing University of Chemical Technology, Beijing, 100029, China

    Yize Zhao

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  1. Feng Liang
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Correspondence to Feng Liang.

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Liang, F., Chen, Y., Zhao, Y. et al. Natural property and vibration suppression of fluid-conveying phononic crystal pipes with axial periodic composites based on Timoshenko beam model. Arch Appl Mech 92, 3093–3108 (2022). https://doi.org/10.1007/s00419-022-02220-3

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