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Vibration of fluid-conveying pipe with nonlinear supports at both ends

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Abstract

The axial fluid-induced vibration of pipes is very widespread in engineering applications. The nonlinear forced vibration of a viscoelastic fluid-conveying pipe with nonlinear supports at both ends is investigated. The multi-scale method combined with the modal revision method is formulated for the fluid-conveying pipe system with nonlinear boundary conditions. The governing equations and the nonlinear boundary conditions are rescaled simultaneously as linear inhomogeneous equations and linear inhomogeneous boundary conditions on different time-scales. The modal revision method is used to transform the linear inhomogeneous boundary problem into a linear homogeneous boundary problem. The differential quadrature element method (DQEM) is used to verify the approximate analytical results. The results show good agreement between these two methods. A detailed analysis of the boundary nonlinearity is also presented. The obtained results demonstrate that the boundary nonlinearities have a significant effect on the dynamic characteristics of the fluid-conveying pipe, and can lead to significant differences in the dynamic responses of the pipe system.

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200072, China

    Sha Wei, Xiong Yan, Xiaoye Mao, Hu Ding & Liqun Chen

  2. School of Engineering Science, University of Science and Technology of China, Hefei, 230026, China

    Xin Fan

Authors
  1. Sha Wei
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  2. Xiong Yan
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  3. Xin Fan
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  4. Xiaoye Mao
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  5. Hu Ding
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  6. Liqun Chen
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Correspondence to Liqun Chen.

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Citation: WEI, S., YAN, X., FAN, X., MAO, X. Y., DING, H., and CHEN, L. Q. Vibration of fluid-conveying pipe with nonlinear supports at both ends. Applied Mathematics and Mechanics (English Edition), 43(6), 845–862 (2022) https://doi.org/10.1007/s10483-022-2857-6

Project supported by the National Natural Science Foundation of China (Nos. 12072181 and 12121002) and the State Key Laboratory of Mechanical System and Vibration of China (No. MSV202105)

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Wei, S., Yan, X., Fan, X. et al. Vibration of fluid-conveying pipe with nonlinear supports at both ends. Appl. Math. Mech.-Engl. Ed. 43, 845–862 (2022). https://doi.org/10.1007/s10483-022-2857-6

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  • DOI: https://doi.org/10.1007/s10483-022-2857-6

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