Vibration Analysis of a Viscoelastic Graphene Sheet Exposed to an In-Plane Magnetic Field using the Nonlocal Strain Gradient Theory
M. Pang, Y. Fang, Y. Q. Zhang
College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, 310058, China
Keywords: viscoelastic graphene sheet, free and forced vibrations, nonlocal strain gradient theory, in-plane magnetic field
Abstract
Based on the nonlocal strain gradient theory, the transverse vibration of a viscoelastic graphene sheet subjected to an in-plane magnetic field and external forces is studied. A general governing equation for the graphene sheet vibration is formulated. Theoretical solutions for undamped and damped vibrational frequencies are obtained. The influence of the in-plane magnetic field on the damping ratio and on the frequencies of the free and forced vibrations is studied within the framework of the nonlocal strain gradient theory.
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