SURFACE EFFECTS ON FREE VIBRATION ANALYSIS OF NANO BEAMS USING NONLOCAL ELASTICITY: A COMPARISON BETWEEN EULER-BERNOULLI AND TIMOSHENKO

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HOSSEINI HASHEMI SH.; FAKHER M.; NAZEMNEZHAD R.

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Paper Information

Journal: JOURNAL OF SOLID MECHANICS Year:2013 | Volume:5 | Issue:3 Page(s): 290-304

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Information Journal Paper

Title

SURFACE EFFECTS ON FREE VIBRATION ANALYSIS OF NANO BEAMS USING NONLOCAL ELASTICITY: A COMPARISON BETWEEN EULER-BERNOULLI AND TIMOSHENKO

Author(s)

HOSSEINI HASHEMI SH. | FAKHER M. | NAZEMNEZHAD R. | Issue Writer Certificate

Keywords

SURFACE EFFECTS

NONLOCAL ELASTICITY

FREE VIBRATION

NANO BEAM

EULER-BERNOULLI THEORY

TIMOSHENKO THEORY

Abstract

In this paper, SURFACE EFFECTS including surface elasticity, surface stress and surface density, on the FREE VIBRATION analysis of Euler-Bernoulli and Timoshenko NANO BEAMs are considered using NONLOCAL ELASTICITY theory. To this end, the balance conditions between NANO BEAM bulk and its surfaces are considered to be satisfied assuming a linear variation for the component of the normal stress through the NANO BEAM thickness. The governing equations are obtained and solved for Silicon and Aluminum NANO BEAMs with three different boundary conditions, i.e. Simply-Simply, Clamped-Simply and Clamped-Clamped. The results show that the influence of the SURFACE EFFECTS on the natural frequencies of the Aluminum NANO BEAMs follows the order CC<CS<SS while this is not the case for Silicon NANO BEAMs. On the other hand, the influence of the nonlocal parameter is opposite and follows the order SS<CS<CC. In addition, it is seen that considering rotary inertia and shear deformation has more effect on the SURFACE EFFECTS than the nonlocal parameter.

Cites

EFFECT OF SURFACE ENERGY ON THE VIBRATION ANALYSIS OF ROTATING NANOBEAM

References

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APA: Copy

HOSSEINI HASHEMI, SH., FAKHER, M., & NAZEMNEZHAD, R.. (2013). SURFACE EFFECTS ON FREE VIBRATION ANALYSIS OF NANO BEAMS USING NONLOCAL ELASTICITY: A COMPARISON BETWEEN EULER-BERNOULLI AND TIMOSHENKO. JOURNAL OF SOLID MECHANICS, 5(3), 290-304. SID. https://sid.ir/paper/319319/en

Vancouver: Copy

HOSSEINI HASHEMI SH., FAKHER M., NAZEMNEZHAD R.. SURFACE EFFECTS ON FREE VIBRATION ANALYSIS OF NANO BEAMS USING NONLOCAL ELASTICITY: A COMPARISON BETWEEN EULER-BERNOULLI AND TIMOSHENKO. JOURNAL OF SOLID MECHANICS[Internet]. 2013;5(3):290-304. Available from: https://sid.ir/paper/319319/en

IEEE: Copy

SH. HOSSEINI HASHEMI, M. FAKHER, and R. NAZEMNEZHAD, “SURFACE EFFECTS ON FREE VIBRATION ANALYSIS OF NANO BEAMS USING NONLOCAL ELASTICITY: A COMPARISON BETWEEN EULER-BERNOULLI AND TIMOSHENKO,” JOURNAL OF SOLID MECHANICS, vol. 5, no. 3, pp. 290–304, 2013, [Online]. Available: https://sid.ir/paper/319319/en

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