scholarly journals Nonlinear dynamics of a doubly clamped carbon nanotube resonator considering surface stress

RSC Advances ◽  
2015 ◽  
Vol 5 (10) ◽  
pp. 7215-7221 ◽  
Author(s):  
Leisheng Jin ◽  
Jie Mei ◽  
Lijie Li
Keyword(s):  
Nonlinear Dynamics ◽  
Carbon Nanotube ◽  
Surface Stress ◽  
Surface Effect ◽  
Dynamic Performances ◽  
Carbon Nanotube Resonator

A new study on the dynamic performances of doubly clamped carbon nanotube resonators taking account of the surface effect has been performed.

Chaotic vibrations of a harmonically excited carbon nanotube with consideration of thermomagnetic filed and surface effects

2019 ◽  
Vol 233 (10) ◽  
pp. 3649-3658 ◽  
Author(s):  
H Ramezannejad Azarboni ◽  
SA Edalatpanah
Keyword(s):  
Carbon Nanotube ◽  
Dynamic Response ◽  
Governing Equation ◽  
Surface Effect ◽  
Time History ◽  
Integration Scheme ◽  
Beam Model ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Chaotic Vibrations

In the studies of the dynamic response of carbon nanotubes, the stability, predictable, and unpredictable chaotic vibrations are fundamental characteristics. In this paper, we investigate the chaotic and periodic vibrations of a single-walled carbon nanotube resting on the viscoelastic foundation, based on the nonlocal Euler–Bernoulli beam model. It is assumed that the single-walled carbon nanotube is subjected to an external harmonic excitation. The axial thermomagnetic field and the surface effect on the governing equation of single-walled carbon nanotube are taken into account. We also solve the nonlinear governing equation by using the Galerkin decomposition method along with the fourth-order Rung–Kutta numerical integration scheme. Furthermore, we analyze the effects of amplitude and frequency of excitation on the formation of chaotic and periodic regions using bifurcation diagrams and largest Lyapunov exponents. Moreover, we present the phase portrait, Poincare maps, and time history to observe the periodic and chaotic responses of the system. The results show that the nonlinear dynamic response of single-walled carbon nanotube is much more sensitive to both amplitude and frequency of excitation.

Surface Effects on Large Deflection of Nanobeams Subjected to a Follower Load

2020 ◽  
Vol 12 (06) ◽  
pp. 2050067
Author(s):  
Yun Xing ◽  
Yi Han ◽  
Hua Liu ◽  
Jialing Yang
Keyword(s):  
Large Deformation ◽  
Surface Stress ◽  
Large Deflection ◽  
Surface Effect ◽  
Surface Elasticity ◽  
Surface Effects ◽  
Surface Residual Stress ◽  
Residual Surface Stress ◽  
Deformation Problem ◽  
Cross Sectional Dimension

As a basic element of the micro/nanodevices, nanobeams have remarkable physical properties and have attracted considerable attention in the previous studies. However, previous publications did not study the large deformation problem of nanobeams under follower loading when the surface effect becomes significant and especially for the influence of surface effect on mechanical behaviors of the nanobeams under follower loading remains unclear. In this paper, we investigated the large deformation behavior of nanobeams subjected to follower loads in consideration of the surface effects. The mechanical model of large deflection of extensible cantilever nanobeams under follower loading is presented in combination with the surface elasticity and residual surface stress, and then a MATLAB program of shooting method with a technique for determining the initial value was developed to solve the problems. The results indicate that the surface effects have an important influence on the large deflection of nanobeams under follower loading: when the surface residual stress is positive, the maximums of displacement in horizontal and vertical directions and the rotation angle of the free end become lager, but the corresponding follower force related to those maximums becomes smaller. When the residual surface stress is negative, the results are the opposite. In addition, the influence of the cross-sectional dimension of the nanobeams under follower loading on surface effects was discussed. This work is beneficial to understand the mechanism of large deformation of nanobeams with surface effects subjected to follower loads, and can also provide inspirations to design advanced nanomaterials and nanoscaled devices.

Optical mass sensing with a carbon nanotube resonator

2012 ◽  
Vol 29 (5) ◽  
pp. 965 ◽  
Author(s):  
Jin-Jin Li ◽  
Cheng Jiang ◽  
Bin Chen ◽  
Ka-Di Zhu
Keyword(s):  
Carbon Nanotube ◽  
Mass Sensing ◽  
Carbon Nanotube Resonator

scholarly journals Mechanical Detection of Carbon Nanotube Resonator Vibrations

2007 ◽  
Vol 99 (8) ◽  
Author(s):  
D. Garcia-Sanchez ◽  
A. San Paulo ◽  
M. J. Esplandiu ◽  
F. Perez-Murano ◽  
L. Forró ◽  
...  
Keyword(s):  
Carbon Nanotube ◽  
Mechanical Detection ◽  
Carbon Nanotube Resonator

Remarkable influence of slack on the vibration of a single-walled carbon nanotube resonator

Nanoscale ◽  
2016 ◽  
Vol 8 (16) ◽  
pp. 8658-8665 ◽  
Author(s):  
Zhiyuan Ning ◽  
Mengqi Fu ◽  
Gongtao Wu ◽  
Chenguang Qiu ◽  
Jiapei Shu ◽  
...  
Keyword(s):  
Carbon Nanotube ◽  
Single Walled Carbon Nanotube ◽  
Single Walled Carbon ◽  
Carbon Nanotube Resonator

Timoshenko Beam Model for Buckling of Nanowires with High-Order Surface Stresses Effects

2012 ◽  
Vol 528 ◽  
pp. 281-284 ◽  
Author(s):  
Min Sen Chiu ◽  
Tung Yang Chen
Keyword(s):  
Timoshenko Beam ◽  
Surface Stress ◽  
Surface Effect ◽  
High Order ◽  
Mathematical Framework ◽  
Beam Model ◽  
Axial Buckling ◽  
Surface Stresses ◽  
Wide Range ◽  
Order Surface

High-order surface effects can have a significant effect in the mechanical behavior of micro- and nano-sized materials and structures. In the literature the mathematical framework of surface/interface stresses are generally described by generalized Young-Laplace equations based on membrane theory. A refined model of surface stress, counting into surface stresses as well as surface moments, collectively referred to as high-order surface stress, was recently derived by the authors. This framework allows us to simulate the interface between two neighboring media which may have varying in-plane stress through the thickness of the thin membrane. To illustrate surface stress effects, we consider the critical force of axial buckling of nanowires by accounting various degrees of surface stresses. Using the refined Timoshenko beam theory, we incorporate the high-order surface effect in the simulation of axial buckling of nanowires. The results are compared with the solutions based on conventional surface stress model as well as existing experimental data. This study might be helpful to characterize the mechanical properties of nanowires in a wide range of applications.

Sign in / Sign up

Export Citation Format

Share Document