Abstract
Surface effects on the transverse vibration and axial buckling of double-nanobeam-system (DNBS) are examined based on a refined Euler-Bernoulli beam model. For three typical deformation modes of DNBS, we derive the natural frequency and critical axial load accounting for both surface elasticity and residual surface tension, respectively. It is found that surface effects get quite important when the cross-sectional size of beams shrinks to nanometers. No matter for vibration or axial buckling, surface effects are just the same in three deformation modes and usually enhance the natural frequency and critical load. However, the interaction between beams is clearly distinct in different deformation modes. This study might be helpful for the design of nano-optomechanical systems and nanoelectromechanical systems.
Highlights
Nanowires hold a wide variety of potential applications, such as sensors, actuators, transistors, probes, and resonators in nanoelectromechnical systems (NEMSs) [1]
The higher-order natural frequency of DNBS is plotted in Figure 4, in which the spring stiffness k is taken as 2 × 104 N/m2
For in-phase buckling, the beam interaction has no influence on the critical load, while for other buckling modes, the beam interaction will enhance the critical load of DNBS
Summary
Nanowires hold a wide variety of potential applications, such as sensors, actuators, transistors, probes, and resonators in nanoelectromechnical systems (NEMSs) [1]. Through LaplaceYoung equation, Wang and Feng [7, 8] addressed both the impacts of residual surface stress and surface elasticity on the vibration and buckling of nanobeams He and Lilley [9] analyzed the static bending of nanowires, and explained its size-dependent elastic modulus. Using this model, Wang [10] considered the transverse vibration of fluid-conveying nanotube, Fu et al [11] studied the nonlinear static and dynamic behaviors of nanobeams, and Assadi and Farshi [12] investigated the size-dependent stability and selfstability of circular nanoplates. Journal of Nanomaterials mechanical model for the design of coupled photonic crystal nanobeams [16]
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