Conference Proceedings

Second International Conference on Advances in Mechanical and Robotics Engineering- AMRE 2014

VIBRATION ANALYSIS OF NANOBEAM CARRYING NANOPARTICLE BASED ON NONLOCAL ELASTICITY THEORY

Author(s) : NECLA TOGUN

Abstract

In this study, vibration of effect of nanoparticle on an Euler-Bernoulli nano-beam is investigated using nonlocal elasticity beam theory. Equation of motion of nanobeam is obtained using Hamilton’s principle. The dimensionless equations are solved for the various boundary conditions. Approximate solutions of the equations are obtained by using the method of multiple scales a perturbation technique. The first terms of the perturbation series lead to the linear problem. Exact solutions are given natural frequencies for the linear problem. The effects of the different nonlocal parameters () and mass ratios () as well as effects of different boundary conditions on the vibrations are determined.

Conference Title : Second International Conference on Advances in Mechanical and Robotics Engineering- AMRE 2014
Conference Date(s) : 25 - 26 October 2014
Place : Hotel Novotel Zurich City-West, 8005 Zurich, Switzerland
No fo Author(s) : 1
DOI : 10.15224/978-1-63248-031-6-151
Page(s) : 59 - 63
Electronic ISBN : 978-1-63248-031-6
Views : 688   |   Download(s) : 180