热应力对碳纳米管增强纳米开关的影响

Effect of the Thermal Stress on the Carbon Nanotube Reinforced Nano-Switch

以两端固支型Euler-Bernoulli梁与基板组成的纳米开关系统作为研究对象,分析了纳米开关结构吸合的稳定性。在考虑电场力与因量子波动效应产生的卡西米尔力的情况下,主要研究了热应力对碳纳米管增强纳米开关的影响。利用Fredholm积分方程,对在相应边界条件下变系数的四阶非线性常微分方程进行了求解,并研究了热应力以及关键参数对碳纳米管增强纳米开关吸合位移和吸合电压的影响。结果表明,热应力对碳纳米管增强纳米开关吸合位移和吸合电压的影响依赖于碳纳米管的体积比,并且当环境温度超过一定临界值时,纳米开关将会变得不够稳定。

With the nano-switch system comprised of the Euler-Bernoulli beam with two clamped ends and the substrate as the research object,the stability of pull-in state in the open and close process of the nano-switch structure was analyzed.Considering the electrostatic force and Casimir force due to the macro effect of quantum field fluctuation,the effect of the thermal stress on the carbon nanotubes（CNTs）reinforced nano-switch was researched.By using Fredholm integration equation,the nonlinear fourth-order ordinary differential equation with variable coefficients under the corresponding boundary conditions was solved.The effects of the thermal stress and some key parameters on the pull-in displacement and pull-in voltage of the CNTs reinforced nanoswitch were studied.The results show that the influence of the thermal stress on the pull-in displacements and pull-in voltage of the CNTs reinforced nano-switch is dependent on the volume ratio of the CNTs,and when the environment temperature exceeds a certain critical value,the nano-switch will be unstable.