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Stability analysis of a pipe conveying fluid with a nonlinear energy sink

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Abstract

This paper considers the global stability problem of the system comprising a pipe conveying fluid and a nonlinear energy sink (PCF-NES) system. First, a quadratic form model containing a gradient term of a convex function is obtained from a high-order partial-differential-equation model of the PCF-NES system using the Galerkin approximation approach. Energy and disturbance functionals are then established based on this model. Second, a Lyapunov function is constructed based on the first-order characteristic of the convexity and energy disturbance technique to prove the global exponential stability of the approximated PCF-NES system. Finally, theoretical results are verified using numerical simulations and the positive effect of the NES on the vibration control of the entire PCF is discussed.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61890920, 61890921, 61773090, 61803070), Liaoning Revitalization Talents Program (Grant No. XLYC1808015), and in part by Fundamental Research Funds for the Central Universities (Grant No. DUT19LAB37).

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Authors and Affiliations

  1. Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education, School of Control Science and Engineering, Dalian University of Technology, Dalian, 116024, China

    Nan Duan, Sida Lin, Yuhu Wu, Xi-Ming Sun & Chongquan Zhong

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  1. Nan Duan
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  2. Sida Lin
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  3. Yuhu Wu
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  4. Xi-Ming Sun
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  5. Chongquan Zhong
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Correspondence to Yuhu Wu.

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Duan, N., Lin, S., Wu, Y. et al. Stability analysis of a pipe conveying fluid with a nonlinear energy sink. Sci. China Inf. Sci. 64, 152201 (2021). https://doi.org/10.1007/s11432-019-2822-3

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  • DOI: https://doi.org/10.1007/s11432-019-2822-3

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