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Surface Energy Effect on Free Vibration Characteristics of Nano-plate Submerged in Viscous Fluid

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Abstract

Purpose

The free vibration problem of a thin nanoplate with surface energy immersed in a viscous fluid medium is investigated in this article to assess the influence of different fluids on the vibration behavior of small-scale plates.

Methods

Fluid–solid interaction is modeled based on Navier-Stokes equations, and surface energy is considered to apply small-scale effects. Finally, the solution of the equation of motion of nanoplate coupled with fluid is realized using the Galerkin weighted residual method.

Results and Conclusion

According to the findings of this study, fluid density has a considerable impact on the reduction of the natural frequencies of plates at small scales, whereas viscosity has a negligible effect on the system's vibrational response. Moreover, the thickness of a nanoplate is inversely proportional to the influence of surface parameters on the nanoplate vibration as well as the effect of fluid on natural frequencies.

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Authors and Affiliations

  1. School of Mechanics Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran

    Reza Ahmadi Arpanahi, Ali Eskandari, Morteza Taherkhani & Shahrokh Hosseini Hashemi

  2. Center of Excellence in Railway Transportation, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran

    Shahrokh Hosseini Hashemi

  3. School of Mechanical Engineering, Islamic Azad University, Arak Branch, Iran

    Shahriar Hosseini-Hashemi

Authors
  1. Reza Ahmadi Arpanahi
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  2. Ali Eskandari
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  3. Shahriar Hosseini-Hashemi
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  4. Morteza Taherkhani
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  5. Shahrokh Hosseini Hashemi
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Correspondence to Shahrokh Hosseini Hashemi.

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Arpanahi, R.A., Eskandari, A., Hosseini-Hashemi, S. et al. Surface Energy Effect on Free Vibration Characteristics of Nano-plate Submerged in Viscous Fluid. J. Vib. Eng. Technol. 12, 67–76 (2024). https://doi.org/10.1007/s42417-022-00828-x

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  • DOI: https://doi.org/10.1007/s42417-022-00828-x

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