LARGE AMPLITUDE VIBRATION OF IMPERFECT SHEAR DEFORMABLE NANO-PLATES USING NON-LOCAL THEORY

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JALALI S.K.; RASTGOO A.; ESHRAGHI I.

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Journal Paper

Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2011 | Volume:3 | Issue:1 Page(s): 64-73

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Title

LARGE AMPLITUDE VIBRATION OF IMPERFECT SHEAR DEFORMABLE NANO-PLATES USING NON-LOCAL THEORY

Author(s)

JALALI S.K. | RASTGOO A. | ESHRAGHI I. | Issue Writer Certificate

Keywords

NONLOCAL THEORY

SHEAR DEFORMABLE NANO PLATES

NONLINEAR VIBRATION

GEOMETRIC IMPERFECTION

Abstract

In this study, based on nonlocal differential constitutive relations of Eringen, the first order shear deformation theory of plates (FSDT) is reformulated for vibration of nano-plates considering the initial GEOMETRIC IMPERFECTION. The dynamic analog of the von Karman nonlinear strain displacement relations is used to derive equations of motion for the nano-plate. When dealing with nonlinearities, in the frame work of NONLOCAL THEORY, challenges are presented because of the coupling between nonlocal stress resultants and displacement terms.Governing equations are solved using differential quadrature method (DQM) and numerical results for free vibration of an imperfect single layered graphene sheet are presented.

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APA: Copy

JALALI, S.K., RASTGOO, A., & ESHRAGHI, I.. (2011). LARGE AMPLITUDE VIBRATION OF IMPERFECT SHEAR DEFORMABLE NANO-PLATES USING NON-LOCAL THEORY. JOURNAL OF SOLID MECHANICS, 3(1), 64-73. SID. https://sid.ir/paper/319239/en

Vancouver: Copy

JALALI S.K., RASTGOO A., ESHRAGHI I.. LARGE AMPLITUDE VIBRATION OF IMPERFECT SHEAR DEFORMABLE NANO-PLATES USING NON-LOCAL THEORY. JOURNAL OF SOLID MECHANICS[Internet]. 2011;3(1):64-73. Available from: https://sid.ir/paper/319239/en

IEEE: Copy

S.K. JALALI, A. RASTGOO, and I. ESHRAGHI, “LARGE AMPLITUDE VIBRATION OF IMPERFECT SHEAR DEFORMABLE NANO-PLATES USING NON-LOCAL THEORY,” JOURNAL OF SOLID MECHANICS, vol. 3, no. 1, pp. 64–73, 2011, [Online]. Available: https://sid.ir/paper/319239/en

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