VIBRATION ANALYSIS OF ORTHOTROPIC TRIANGULAR NANOPLATES USING NONLOCAL ELASTICITY THEORY AND GALERKIN METHOD

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SHAHIDI A.R.; SHAHIDI S.H.; ANJOMSHOAE A.; RAEISI ESTABRAGH E.

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Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2016 | Volume:8 | Issue:3 Page(s): 679-692

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Title

VIBRATION ANALYSIS OF ORTHOTROPIC TRIANGULAR NANOPLATES USING NONLOCAL ELASTICITY THEORY AND GALERKIN METHOD

Author(s)

SHAHIDI A.R. | SHAHIDI S.H. | ANJOMSHOAE A. | RAEISI ESTABRAGH E. | Issue Writer Certificate

Keywords

VIBRATION ANALYSIS

SMALL SCALE EFFECT

NONLOCAL ELASTICITY

TRIANGULAR NANOPLATE

GALERKIN METHOD

Abstract

In this article, classical plate theory (CPT) is reformulated using the nonlocal differential constitutive relations of Eringen to develop an equivalent continuum model for orthotropic TRIANGULAR NANOPLATEs. The equations of motion are derived and the Galerkin’s approach in conjunction with the area coordinates is used as a basis for the solution. Nonlocal theories are employed to bring out the effect of the small scale on natural frequencies of nano scaled plates. Effect of nonlocal parameter, lengths of the nanoplate, aspect ratio, mode number, material properties, boundary condition and in-plane loads on the natural frequencies are investigated. It is shown that the natural frequencies depend highly on the non-locality of the nanoplate, especially at the very small dimensions, higher mode numbers and stiffer edge condition.

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References

VERY LARGE DEFORMATION ANALYSIS OF PLATES AND FOLDED PLATES BY FINITE STRIP METHOD

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APA: Copy

SHAHIDI, A.R., SHAHIDI, S.H., ANJOMSHOAE, A., & RAEISI ESTABRAGH, E.. (2016). VIBRATION ANALYSIS OF ORTHOTROPIC TRIANGULAR NANOPLATES USING NONLOCAL ELASTICITY THEORY AND GALERKIN METHOD. JOURNAL OF SOLID MECHANICS, 8(3), 679-692. SID. https://sid.ir/paper/319428/en

Vancouver: Copy

SHAHIDI A.R., SHAHIDI S.H., ANJOMSHOAE A., RAEISI ESTABRAGH E.. VIBRATION ANALYSIS OF ORTHOTROPIC TRIANGULAR NANOPLATES USING NONLOCAL ELASTICITY THEORY AND GALERKIN METHOD. JOURNAL OF SOLID MECHANICS[Internet]. 2016;8(3):679-692. Available from: https://sid.ir/paper/319428/en

IEEE: Copy

A.R. SHAHIDI, S.H. SHAHIDI, A. ANJOMSHOAE, and E. RAEISI ESTABRAGH, “VIBRATION ANALYSIS OF ORTHOTROPIC TRIANGULAR NANOPLATES USING NONLOCAL ELASTICITY THEORY AND GALERKIN METHOD,” JOURNAL OF SOLID MECHANICS, vol. 8, no. 3, pp. 679–692, 2016, [Online]. Available: https://sid.ir/paper/319428/en

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