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Modeling the coupled effects of surface layer and size effect on the static and dynamic instability of narrow nano-bridge structure

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Abstract

For modeling the electromechanical behavior of nano-bridge structures with slender narrow-width beam elements, not only the simultaneous effects of surface layer and size dependency should be taken into account but also corrected force models should be considered. In this paper, the instability of a narrow-width nano-bridge is studied based on strain gradient theory and Gurtin–Murdoch surface elasticity. The mid-plane stretching is incorporated in the governing equation as well as corrected force distribution. Using Rayleigh–Ritz method, a parametric analysis is conducted to examine the impacts of surface layer, size dependence, dispersion forces and structural damping on static and dynamic instability voltage of the nano-bridge.

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Author information

Authors and Affiliations

  1. Shahrekord University of Medical Sciences, Shahrekord, Iran

    Maryam Keivani

  2. Mechanical Engineering Group, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

    Ali Koochi & Mohamadreza Abadyan

  3. Ionizing and Non-Ionizing Radiation Protection Research Center, Paramedical Sciences School, Shiraz University of Medical Sciences, Shiraz, Iran

    Abolfazl Kanani

  4. Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran

    Hossein M. Navazi

Authors
  1. Maryam Keivani
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  2. Ali Koochi
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  3. Abolfazl Kanani
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  4. Hossein M. Navazi
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  5. Mohamadreza Abadyan
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Corresponding author

Correspondence to Ali Koochi.

Additional information

Technical Editor: Marcelo A. Savi.

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Keivani, M., Koochi, A., Kanani, A. et al. Modeling the coupled effects of surface layer and size effect on the static and dynamic instability of narrow nano-bridge structure. J Braz. Soc. Mech. Sci. Eng. 39, 1735–1744 (2017). https://doi.org/10.1007/s40430-016-0644-1

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  • DOI: https://doi.org/10.1007/s40430-016-0644-1

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