According to the present literature review, the axial vibration of the axially functionally graded (FG) tapered nanorod with attached nonlinear spring has not been addressed so far. In this study, the axial vibration of the FG tapered nanorod is studied based on Eringen’s nonlocal theory, in which one end of the nanorod is clamped and the other end is attached to a nonlinear spring and a nanoparticle. The influence of different parameters such as the nonlinear spring constant, mass of the nanoparticle, and the nonlocal parameter on the natural frequencies is presented in detail. The solutions via Tables can be utilized as a reliable reference for evaluating the validity of future researches. The presented nonlocal solutions can be helpful for those who are interested in designing micro/nano electromechanical systems.

This communication presents the effect of thickness on the frequency ratio of nanobeams and nanoplates using Eringen's nonlocal theory. Although there exist numerous works regarding the effects of thickness and small scale on the frequency ratio of nanobeams and nanoplates, none has captured and reported the true effects. The main intention of this communication is to correct the misunderstanding regarding this issue. It was found that the frequency ratio is indeed dependent on the thickness to length ratio and its variation with respect to thickness to length ratio is highly dependent on the mode number, combination of boundary conditions, plate aspect ratio, and the nonlocal parameter.

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Flow properties and wake structures behind bluff bodies was one of the interesting topics between scholars for many years. Such interest in this phenomenon is due to various applications of bluff bodies in engineering and industry. In this study a comparison of flow structures of the wake of circular cylinder, semi-circular and c shape cylinders have been presented. The wake flows have been compared in terms of shedding frequency, Reynolds stress and turbulent kinetic energy (TKE) to identify any similarities between these geometries. It was found that the highest value of TKE occurred on either side of the separated shear layer. Moreover, it was observed that as the TKE develops in the downstream the peaks were shifted towards centerline in the wake region.