Effect of Rotary Inertia on Vibrational Response of Embedded Graphene Sheets

Year 2016, Volume: 8 Issue: 4, 75 - 86, 29.12.2016

Bekir Akgöz

https://doi.org/10.24107/ijeas.279739

Abstract

In the present study, influence of rotary inertia on the size-dependent
free vibration analysis of embedded single-layered graphene sheets is examined
based on modified couple stress theory. Governing differential equations and
corresponding boundary conditions in motion are derived by implementing
Hamilton’s principle on the basis of Kirchhoff thin plate theory. Also, effect
of elastic foundation is taken into consideration by using a two-parameter
elastic foundation model. Influences of additional material length scale
parameter, mode number, elastic foundation and rotary inertia on the natural
frequencies are investigated in detail.

Keywords

Scale effect, silicone matrix, sector graphene, discrete singular convolution, , vibration

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