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

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...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2017-05, Vol.39 (5), p.1735-1744
Main Authors: Keivani, Maryam, Koochi, Ali, Kanani, Abolfazl, Navazi, Hossein M., Abadyan, Mohamadreza
Format: Article
Language:English
Subjects:
Bridges
Damping
Dynamic stability
Engineering
Force distribution
Mechanical Engineering
Modelling
Parametric analysis
Ritz method
Size effects
Strain
Structural stability
Surface layers
Technical Paper
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Summary: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.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-016-0644-1