Advances in Nano Research
Volume 7, Number 4, 2019, pages 223-231
DOI: 10.12989/anr.2019.7.4.223
Vibration analysis of magneto-flexo-electrically actuated porous rotary nanobeams considering thermal effects via nonlocal strain gradient elasticity theory
Farzad Ebrahimi, Mahsa Karimiasl and Vinyas Mahesh
Abstract
In this article the frequency response of magneto-flexo-electric rotary porous (MFERP) nanobeams subjected to thermal loads has been investigated through nonlocal strain gradient elasticity theory. A quasi-3D beam model beam theory is used for the expositions of the displacement components. With the aid of Hamilton\'s principle, the governing equations of MFERP nanobeams are obtained. Further, administrating an analytical solution the frequency problem of MFERP nanobeams are solved. In addition the numerical examples are also provided to evaluate the effect of nonlocal strain gradient parameter, hygro thermo environment, flexoelectric effect, in-plane magnet field, volume fraction of porosity and angular velocity on the dimensionless eigen frequency.
Key Words
eigenfrequency; angular velocity; volume fraction of porosity; FG nanobeam; Visco-Pasternak foundation
Address
(1) Farzad Ebrahimi, Mahsa Karimiasl:
Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Postal code: 3414916818, Qazvin, Iran;
(2) Vinyas Mahesh:
Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India;
(3) Vinyas Mahesh:
Department of Mechanical Engineering, Nitte Meenakshi Institute of Technology, Bangalore,560064 India.