TRANSVERSE VIBRATION OF SINGLE-LAYER GRAPHENE SHEET UNDER 2D MAGNETIC FIELD ACTION BY DIFFERENTIAL QUADRATURE METHOD

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ESMAEILI AREZOO; BIGLARI HASAN

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Paper Information

Journal: AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL Year:2017 | Volume:6 | Issue:1 Page(s): 81-92

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Title

TRANSVERSE VIBRATION OF SINGLE-LAYER GRAPHENE SHEET UNDER 2D MAGNETIC FIELD ACTION BY DIFFERENTIAL QUADRATURE METHOD

Author(s)

ESMAEILI AREZOO | BIGLARI HASAN | Issue Writer Certificate

Keywords

GRAPHENE SHEETQ1

NON-LOCAL THEORYQ1

2D MAGNETIC FIELDQ1

LORENTZ'S FORCEQ2

DQMQ1

Abstract

In this paper, governing equations of transverse vibration of single-layer GRAPHENE SHEET with different boundary conditions under 2D in-plane magnetic field action, considering its consequent forces and moments, are investigated for the first time using differential quadrature method (DQM). Governing equations of motion are obtained using NON-LOCAL THEORY and considering LORENTZ'S FORCE. The partial differential equations of system are changed to the ordinary differential equations using separation of variables method. Using differential quadrature method, the obtained governing equations are solved for different boundary conditions. The effects of elastic foundation stiffness, non-local parameter, plate aspect ratio and 2D MAGNETIC FIELD effects on the natural frequency of GRAPHENE SHEET are evaluated. The results show that increase of foundation stiffness, non-local parameter and aspect ratio result in increase of fundamental frequency, in all boundary conditions. But, action of in-plane magnetic field results in decrease of fundamental frequency, because of decreasing flexural stiffness and increasing in-plane pressure loading.

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APA: Copy

ESMAEILI, AREZOO, & BIGLARI, HASAN. (2017). TRANSVERSE VIBRATION OF SINGLE-LAYER GRAPHENE SHEET UNDER 2D MAGNETIC FIELD ACTION BY DIFFERENTIAL QUADRATURE METHOD. AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL, 6(1 ), 81-92. SID. https://sid.ir/paper/264144/en

Vancouver: Copy

ESMAEILI AREZOO, BIGLARI HASAN. TRANSVERSE VIBRATION OF SINGLE-LAYER GRAPHENE SHEET UNDER 2D MAGNETIC FIELD ACTION BY DIFFERENTIAL QUADRATURE METHOD. AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL[Internet]. 2017;6(1 ):81-92. Available from: https://sid.ir/paper/264144/en

IEEE: Copy

AREZOO ESMAEILI, and HASAN BIGLARI, “TRANSVERSE VIBRATION OF SINGLE-LAYER GRAPHENE SHEET UNDER 2D MAGNETIC FIELD ACTION BY DIFFERENTIAL QUADRATURE METHOD,” AEROSPACE KNOWLEDGE AND TECHNOLOGY JOURNAL, vol. 6, no. 1 , pp. 81–92, 2017, [Online]. Available: https://sid.ir/paper/264144/en

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