Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM

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Uzun Busra; Metin Numanoglu Hayri; CIVALEK OMER

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Paper Information

Journal: THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS Year:2018 | Volume:49 | Issue:2 Page(s): 252-260

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Title

Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM

Author(s)

Uzun Busra | Metin Numanoglu Hayri | CIVALEK OMER | Issue Writer Certificate

Keywords

Nonlocal Elasticity Theory

Euler-Bernoulli Beam

Boron Nitride Nanotube

Carbon Nanotube

Finite Element Method

Abstract

In the present study, free vibration behaviors of Carbon Nanotube (CNT) and Boron Nitride Nanotube (BNNT) have been investigated via Eringen’ s nonlocal continuum theory. Size effect has been considered via nonlocal continuum theory. Nanotubes have become popular in the world of science thanks to their characteristic properties. In this study, free vibrations of Boron Nitride Nanotube (BNNT) and Carbon Nanotube (CNT) are calculated using the Nonlocal Elasticity Theory. Frequency values are found via both analytical and Finite Element Method (FEM). Galerkin weighted residual method is used to obtain the finite element equations. BNNT and CNT are modeled as Euler-Bernoulli Beam and solutions are gained by using four different cross-section geometries with three boundary conditions. Selected geometries are circle, rectangle, triangle, and square. Frequency values are given in tables and graphs. The effect of cross-section, boundary conditions and length scale parameter on frequencies has been investigated in detail for BNNT.

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APA: Copy

Uzun, Busra, Metin Numanoglu, Hayri, & CIVALEK, OMER. (2018). Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM. THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 49(2), 252-260. SID. https://sid.ir/paper/785652/en

Vancouver: Copy

Uzun Busra, Metin Numanoglu Hayri, CIVALEK OMER. Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM. THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS[Internet]. 2018;49(2):252-260. Available from: https://sid.ir/paper/785652/en

IEEE: Copy

Busra Uzun, Hayri Metin Numanoglu, and OMER CIVALEK, “Free vibration analysis of BNNT with different cross-Sections via nonlocal FEM,” THE JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, vol. 49, no. 2, pp. 252–260, 2018, [Online]. Available: https://sid.ir/paper/785652/en

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