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Fractional Dynamics of Fluid-Conveying Pipes Made of Polymer-Like Materials

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Abstract

The fluid-conveying pipes made of polymer-like materials are widely applied in engineering fields. However, the fractional dynamics of fluid–solid interaction remain unknown. In this work, the fractional dynamics of the pipes subjected to the excitation of supporting foundation are studied. A new nonlinear, fractional-order dynamic model is presented. The method of multiple scales is adopted directly to solve the model for the case of primary resonances. Numerical results are presented to show the effects of fractional order, foundation vibration, and other physical parameters on the steady-state response and stability.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 11672187), the Natural Science Research Project of the Institutions of Higher Education in Anhui Province (Nos. KJ2017A114, KJ2017A106, TSKJ2016B18), Natural Science Foundation of Liaoning Province (201602573), and the Opening fund of Key Laboratory of Mechanics, Anhui Polytechnic University (No. 201607).

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Anhui Polytechnic University, Wuhu, 241000, China

    Ye Tang

  2. School of Aerospace Engineering, Shenyang Aerospace University, Shenyang, 110136, China

    Tianzhi Yang

  3. Department of Mechanics, Tianjin University, Tianjin, 300072, China

    Tianzhi Yang

  4. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Bo Fang

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  1. Ye Tang
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  2. Tianzhi Yang
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Correspondence to Tianzhi Yang.

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Tang, Y., Yang, T. & Fang, B. Fractional Dynamics of Fluid-Conveying Pipes Made of Polymer-Like Materials. Acta Mech. Solida Sin. 31, 243–258 (2018). https://doi.org/10.1007/s10338-018-0007-9

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  • DOI: https://doi.org/10.1007/s10338-018-0007-9

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