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On the size-dependent dynamics of curved single-walled carbon nanotubes conveying fluid based on nonlocal theory

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Abstract

This paper deals with in-plane and out-of-plane thermo-mechanical vibration and stability of curved single-walled carbon nanotubes (CSWCNT) conveying fluid and subjected to thermal and magnetic fields, based on Eringen’s nonlocal elasticity and curved Euler–Bernoulli beam theory. The Kelvin–Voigt model is employed to formulate the surrounding elastic medium to enhance the stability of the system. Given the assumptions of the modified inextensibility theory for the tube proposed by Misra et al., the in-plane and out-of-plane nonlocal equations of motion and boundary conditions are extracted using the variational principle approach. The differential quadrature (DQ) method is applied to the nonlocal equations of motion and boundary conditions to obtain natural frequencies of the CSWCNT for clamped–clamped end conditions. The present study aims to investigate the influence of diverse parameters including the nonlocal parameter, temperature changes, magnetic field intensity, fluid velocity, angle of the tube, and elastic foundation coefficients on the in-plane and out-of-plane vibration and stability of the CSWCNT. It is pertinent to mention that the results obtained from the present study could serve as a benchmark for future studies of curved nanotubes.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ferdowsi University of Mashhad, 91775-1111, Mashhad, Islamic Republic of Iran

    Ali Dini

  2. Department of Mechanical Engineering, Sirjan University of Technology, 78137-33385, Sirjan, Islamic Republic of Iran

    Mohammad Hosseini

  3. Department of Biosystems Engineering, College of Agriculture, Shiraz University, Shiraz, Islamic Republic of Iran

    Mohammad Amin Nematollahi

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  1. Ali Dini
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  2. Mohammad Hosseini
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  3. Mohammad Amin Nematollahi
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Dini, A., Hosseini, M. & Nematollahi, M.A. On the size-dependent dynamics of curved single-walled carbon nanotubes conveying fluid based on nonlocal theory. Acta Mech 232, 4729–4745 (2021). https://doi.org/10.1007/s00707-021-03081-7

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