Abstract
AbstractIn this work, an attempt is done to apply the eigenvalue approach as well as Donnell thin-shell theory to find out the vibrational analyses of an irregular single-walled carbon (ISWCNT) incorporating initial stress effects. The effects of surface irregularity and initial stresses on natural frequency of vibration of nano materials, especially for single-walled carbon nanotubes (SWCNTs), have not been investigated before, and most of the previous research have been carried for a regular and initial stress-free CNTs. Therefore, it must be emphasized that the vibrations of prestressed irregular SWCNT are novel and applicable for the design of nano oscillators and nanodevices, in which SWCNTs act as the most prevalent nanocomposite structural element. The surface irregularity is assumed in the parabolic form at the surface of SWCNT. A novel equation of motion and frequency equation is derived. The obtained numerical results provide a better representation of the vibration behavior of prestressed ISWCNTs. It has been observed that the presence of either surface irregularity or initial stress has notable effects on the natural frequency of vibration, particularly in the short-length SWCNTs. Numerical results show that the natural frequency of SWCNT decreases with increase in surface irregularity and initial stress parameters. To the authors’ best knowledge, the effect of surface irregularity and initial stresses on the vibration behavior of SWCNTs has not yet been studied, and the present work is an attempt to find out this effectiveness. In addition, the results of the present analysis may serve as useful references for the application and the design of nano oscillators and nanodevices, in which SWCNTs act as the most prevalent nanocomposite structural element.
Highlights
The study of vibration analysis in the surfaced irregularity and prestressed single-walled carbon nanotubes (SWCNTs) may give a useful reference to predict frequencies to estimate the expected experimental values for potential application and design of nanoelectronics and nanodevices
A novel frequency equation of vibration of pre-stressed irregular SWCNTs (ISWCNTs) based on Donnell thin-shell theory is reported
Taking into account the effects of surface irregularity and initial stresses, vibration of SWCNTs is analyzed and the numerical results are plotted in several figures to examine the dependence of natural frequency of vibration on the surface irregularity and initial stress parameters
Summary
The study of vibration analysis in the surfaced irregularity and prestressed single-walled carbon nanotubes (SWCNTs) may give a useful reference to predict frequencies to estimate the expected experimental values for potential application and design of nanoelectronics and nanodevices. Based on Euler–Bernoulli beam, Tang and Yang investigated a novel model of fluid-conveying nanotubes made of bidirectional functionally graded materials (FGMs) and presented the dynamic behavior and stability of nanotubes [20]. It is of great importance to deal with various constructions to study the vibration behavior of irregular and prestressed CNTs. As can be seen from the above literature summary, to the best of our knowledge, the effect of both the surface irregularity and initial stresses on vibrational analysis of SWCNTs has not yet been investigated. The vibration of CNTs under the effects of surface irregularity and initial stresses is very important in terms of both predicting the results of the experiments and providing useful information for the generation studies and accurate deigns of nanodevices In this sense, the present study is much important within the framework of the Donnell thin-shell theory; and the results can provide a useful information for the generation of studies and accurate designs of nanomachines.
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