An Investigation of Radial Vibration Modes of Embedded Double-Curved-Nanobeam-Systems

Abstract

The vibration of two curved nanobeams with coupling radial springs is considered. A nonlocal Euler-Bernoulli curved nanobeam model has been assumed in order to investigate the radial vibration of the double-curved-nanobeam-system (DCNBS) embedded in an elastic medium. Natural frequencies for the DCNBS are obtained by using the Navier Method. Moreover, the effect of the angle of curvature on the natural frequencies is discussed. Comparison studies are also performed to verify the present formulation and solutions. It is shown that the results are in excellent agreement with the previous studies. Furthermore, it is shown that considering the effects of the curvature decreases the natural frequency of the DCNBS and that the natural frequency decreases by increasing the small scale coefficient. In addition, the variation of the frequency has been investigated based on the stiffness of the springs in a radial direction.

Keywords

• Radial vibration,; Double curved nanobeam,,Coupling radial springs

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