INVESTIGATION OF THE EFFECT OF PRE-STRESSED ON VIBRATION FREQUENCY OF RECTANGULAR NANOPLATE BASED ON A VISCO-PASTERNAK FOUNDATION

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GOODARZI M.; MOHAMMADI M.; FARAJPOUR A.; KHOORAN M.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2014 | Volume:6 | Issue:1 Page(s): 98-121

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Title

INVESTIGATION OF THE EFFECT OF PRE-STRESSED ON VIBRATION FREQUENCY OF RECTANGULAR NANOPLATE BASED ON A VISCO-PASTERNAK FOUNDATION

Author(s)

GOODARZI M. | MOHAMMADI M. | FARAJPOUR A. | KHOORAN M. | Issue Writer Certificate

Keywords

VIBRATION

GRAPHENE SHEET

SHEAR IN-PLANE LOAD

VISCO-PASTERNAK FOUNDATION

Abstract

In the present work, the free VIBRATION behavior of rectangular GRAPHENE SHEET under SHEAR IN-PLANE LOAD is studied. Nonlocal elasticity theory has been implemented to study the VIBRATION analysis of orthotropic single-layered GRAPHENE SHEETs (SLGSs) subjected to SHEAR IN-PLANE LOAD. The SLGSs is embedded on a viscoelastic medium which is simulated as a VISCO-PASTERNAK FOUNDATION. Using the principle of virtual work, the governing equations are derived for the rectangular nanoplates. Differential quadrature method (DQM) is employed and numerical solutions for the VIBRATION frequency are obtained. The influence of surrounding elastic medium, material property, aspect ratio, nonlocal parameter, length of nanoplate and effect of boundary conditions on the VIBRATION analysis of orthotropic single-layered GRAPHENE SHEETs (SLGSs) is studied. Six boundary conditions are investigated. Numerical results show that the VIBRATION frequencies of SLGSs are strongly dependent on the small scale coefficient and SHEAR IN-PLANE LOAD. The present analysis results can be used for the design of the next generation of nanodevices that make use of the VIBRATION properties of the graphene.

Cites

EFFECT OF SURFACE ENERGY ON THE VIBRATION ANALYSIS OF ROTATING NANOBEAM

References

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APA: Copy

GOODARZI, M., MOHAMMADI, M., FARAJPOUR, A., & KHOORAN, M.. (2014). INVESTIGATION OF THE EFFECT OF PRE-STRESSED ON VIBRATION FREQUENCY OF RECTANGULAR NANOPLATE BASED ON A VISCO-PASTERNAK FOUNDATION. JOURNAL OF SOLID MECHANICS, 6(1), 98-121. SID. https://sid.ir/paper/319335/en

Vancouver: Copy

GOODARZI M., MOHAMMADI M., FARAJPOUR A., KHOORAN M.. INVESTIGATION OF THE EFFECT OF PRE-STRESSED ON VIBRATION FREQUENCY OF RECTANGULAR NANOPLATE BASED ON A VISCO-PASTERNAK FOUNDATION. JOURNAL OF SOLID MECHANICS[Internet]. 2014;6(1):98-121. Available from: https://sid.ir/paper/319335/en

IEEE: Copy

M. GOODARZI, M. MOHAMMADI, A. FARAJPOUR, and M. KHOORAN, “INVESTIGATION OF THE EFFECT OF PRE-STRESSED ON VIBRATION FREQUENCY OF RECTANGULAR NANOPLATE BASED ON A VISCO-PASTERNAK FOUNDATION,” JOURNAL OF SOLID MECHANICS, vol. 6, no. 1, pp. 98–121, 2014, [Online]. Available: https://sid.ir/paper/319335/en

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