Effect of Surface Energy on the Vibration Analysis of Rotating Nanobeam

Subject Areas : Engineering

M Safarabadi ^{1 *} , M Mohammadi ² , A Farajpour ³ , M Goodarzi ⁴

1 - School of Mechanical Engineering, College of Engineering, University of Tehran
2 - Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University
3 - Young Researches and Elites Club , North Tehran Branch, Islamic Azad University
4 - Department of Engineering, College of Mechanical Engineering, Ahvaz branch, Islamic Azad University

Received: 2015-06-10 Accepted : 2015-08-12 Published : 2015-09-30

Keywords: Differential quadrature method, Vibration, Rotating nanobeam, Surface energy,

Abstract :

In this study, the free vibration behavior of rotating nanobeam is studied. Surface effects on the vibration frequencies of nanobeam are considered. To incorporate surface effects, Gurtin–Murdoch model is proposed to satisfy the surface balance equations of the continuum surface elasticity. Differential quadrature method is employed and in order to establish the accuracy and applicability of the proposed model, the numerical results are presented to be compared with those available in the literature. The effects of angular velocity, boundary conditions and surface elastic constants on the vibration characteristics are presented. Numerical results show that the softer boundary conditions cause an increase in the influence of the angular velocity on the nanobeam vibration frequencies.