Analytical Solutions of Thermal-Mechanical Vibration Models of Pinned-Pinned Fluid-Conveying Single-Walled Carbon Nanotubes Resting on Elastic Foundation
Pinned-pinned single-walled carbon nanotubes (SWCNTs) have attracted a lot of interest in recent years due to their suitability for a wide range of applications, such as field emission and vacuum microelectronic devices, nanosensors, and nanoactuators. Based on two simply supported beam-bending models and mode analysis, analytical solutions are developed in the present study to deal with the resonant frequency of a SWCNT. The resonant frequency shift of the pinned-pinned SWCNTs caused by change in temperature and interaction with both a Winkler and a Pasternak elastic medium are examined in order to explore the suitability of SWCNTs as a cooling device and resonators in quantum computer designs. The simulation results reveal that the increase in temperature and the non-local parameter decreases the resonant frequency. In contrast, the resonant frequency increases with increase in the stiffness of the elastic medium except that Tai-Ping Chang model is insensitive to changes in the Pasternak constant. Furthermore, the modified Haw-Long Lee model predicts a larger flutter compared to the modified Tai-Ping Chang et al. model. Therefore, the modified Tai-Ping Chang model is better used to analyze the thermal-mechanical vibration of a SWCNT.
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