Eur. Phys. J. Plus (2017) 132: 153
https://doi.org/10.1140/epjp/i2017-11366-3

Regular Article

Wave propagation analysis of smart rotating porous heterogeneous piezo-electric nanobeams

Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

^* e-mail: febrahimy@eng.ikiu.ac.ir

Received: 19 November 2016
Accepted: 27 January 2017
Published online: 10 April 2017

Abstract

The present work is mainly focused on studying the influences of angular velocity on the wave propagation responses of functionally graded (FG) piezo-electric nanobeams. Moreover, the effects of porosity are also regarded in the wave propagation analysis of size-dependent FG beams. The distribution of electro-mechanical properties of a piezo-electric beam are precisely described employing power-law formulation. The nonlocal elasticity theory is utilized to account for the influences of small scale. Herein, a classical beam theory is expounded to derive the nonlocal governing equations of the nanobeam. Once the governing equations are completely derived, an analytical solution method is applied to obtain the dispersion relations of propagating waves. A comparison of this model with previous studies is then made to show the validity of the obtained results. Finally, the influences of various variants, such as wave number, nonlocal parameter, gradient index, electric voltage, volume fraction of porosity and angular velocity, are studied in detail to show how these parameters can affect the wave frequency, phase velocity and escape frequency of FG smart rotary porous nanobeams.