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首页> 外文期刊>Physica, E. Low-dimensional systems & nanostructures >Effect of temperature on vibrations and buckling behavior of carbon nanotube-based mass sensors using a new temperature-dependent structural model
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Effect of temperature on vibrations and buckling behavior of carbon nanotube-based mass sensors using a new temperature-dependent structural model

机译：利用新的温度依赖性结构模型对碳纳米管基质量传感器振动和屈曲行为的影响

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摘要

In last decade, structural mechanics (SM) approach has been one of the most known and effective tools for the determination of the mechanical properties of carbon nanotubes (CNTs) such as elastic modulus, shear modulus, natural frequency, and critical axial buckling strain. Considering increasing applications of CNTs as resonators at low and high temperatures, a new temperature-dependent structural mechanics model is presented here. The proposed model can be utilized to predict the effect of temperature on the mechanical response of CNTs as functional resonators. Mechanical and geometrical properties of equivalent beam element are correlated to the CNT's coefficient of thermal expansion (CTE). Owing to elaborate series of finite element simulations, the frequency shift of a CNTs-based mass sensor with different attached mass and aspect ratio in temperature range of 0-1600 K is calculated. Afterwards, the critical buckling temperature of CNTs-based mass sensor due to increasing the axial force by changing ambient temperature is obtained. Results show that decreasing the first natural frequency is clearly appeared by attaching a mass more than about 1 zg on the CNTs structure. In other words, CNTs can be used to detect particles with mass above 1 zg. Moreover, it is shown that the variation of CTE versus temperature is a critical parameter that influences the vibration and buckling behavior of CNTs-based mass sensors. Increasing temperature leads to decreasing natural frequency due to rising axial forces along the CNTs axis. As a result, the natural frequency approaches to zero when the temperature rises up to the critical buckling temperature. In addition, increase in temperature over the critical buckling temperature changes the mode shape of CNT vibration to the next mode shape.
机译：过去十年来，结构力学（SM）方法是确定碳纳米管（CNT）的机械性能，例如弹性模量，剪切模量，固有频率和临界轴向屈曲应变的最着名和有效的工具之一。考虑到CNT的增加作为谐振器在低温和高温下，这里提出了一种新的温度依赖性结构力学模型。所提出的模型可用于预测温度对CNT的机械响应作为功能谐振器的影响。等效梁元件的机械和几何特性与CNT的热膨胀系数（CTE）相关。由于精心制定的有限元模拟，计算了基于CNT的质量传感器的频移，具有不同附着的质量和宽高比在0-1600k的温度范围内。然后，获得了通过改变环境温度的增加由于增加轴向力而导致的基于CNTS的质量传感器的关键屈曲温度。结果表明，通过在CNT结构上附着大于约1 Zg，清楚地出现降低第一固有频率。换句话说，CNT可用于检测质量高于1 ZG的颗粒。此外，结果表明，CTE与温度的变化是影响基于CNT的质量传感器的振动和屈曲行为的关键参数。由于沿着CNT轴的轴向力上升，增加温度导致自固定频率降低。结果，当温度升高到关键屈曲温度时，自然频率接近零。另外，在关键屈曲温度上增加温度，将CNT振动的模式形状变为下一个模式形状。

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