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Dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes

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Abstract

In this study, vibration and dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes are studied. The pipe is modeled based on thin-walled Timoshenko beam theory and reinforced by single-walled carbon nanotubes with uniform distribution as well as three types of functionally graded distribution patterns. The governing equations of motion and the associated boundary conditions are derived via Hamilton’s principle. The governing equations of motion are discretized via the Galerkin method, and the eigenfrequency and the stability region of the pipe are found using the eigenvalue analysis. Some numerical examples are presented to study the effects of length–radius ratio, carbon nanotubes distribution, volume fraction of carbon nanotubes, rotational speed and mass ratio on the non-dimensional eigenfrequency and critical flutter velocity of the thin-walled rotating pipe conveying fluid. The results show that the carbon nanotubes distribution has a significant effect on the non-dimensional eigenfrequency and critical flutter velocity. Also, it is found that the rotational speed has a stabilizing effect on the dynamic behavior of the system.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Shahid Bahonar University of Kerman, Kerman, Iran

    Reza Bahaadini & Ali Reza Saidi

  2. Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran

    Mohammad Hosseini

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  1. Reza Bahaadini
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  2. Ali Reza Saidi
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Correspondence to Ali Reza Saidi.

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Bahaadini, R., Saidi, A.R. & Hosseini, M. Dynamic stability of fluid-conveying thin-walled rotating pipes reinforced with functionally graded carbon nanotubes. Acta Mech 229, 5013–5029 (2018). https://doi.org/10.1007/s00707-018-2286-0

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  • DOI: https://doi.org/10.1007/s00707-018-2286-0

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