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Effect of Rotary Inertia on Vibrational Response of Embedded Graphene Sheets
Author(s) -
Bekir Akgöz
Publication year - 2016
Publication title -
international journal of engineering and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1309-7997
pISSN - 1309-0267
DOI - 10.24107/ijeas.279739
Subject(s) - rotary inertia , inertia , vibration , foundation (evidence) , boundary value problem , normal mode , materials science , mechanics , moment of inertia , natural frequency , plate theory , equations of motion , length scale , graphene , classical mechanics , structural engineering , mathematical analysis , physics , mathematics , engineering , nanotechnology , acoustics , archaeology , history
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.

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