VIBRATION OF WAVY SINGLE-WALLED CARBON NANOTUBES BASED ON NONLOCAL EULER BERNOULLI AND TIMOSHENKO MODELS

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SOLTANI PAYAM; KASSAEI AMIR; TAHERIAN MOHAMMAD MEHDI; FARSHIDIANFAR ANOOSHIRAVAN

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Paper Information

Journal: INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING Year:2012 | Volume:4 | Issue:- Page(s): 1-10

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Title

VIBRATION OF WAVY SINGLE-WALLED CARBON NANOTUBES BASED ON NONLOCAL EULER BERNOULLI AND TIMOSHENKO MODELS

Author(s)

SOLTANI PAYAM | KASSAEI AMIR | TAHERIAN MOHAMMAD MEHDI | FARSHIDIANFAR ANOOSHIRAVAN | Issue Writer Certificate

Keywords

CURVED SINGLE-WALLED CARBON NANOTUBES

VIBRATION

TIMOSHENKO BEAM MODEL

NONLOCAL ELASTICITY THEORY

Abstract

The transverse VIBRATION of a single-walled carbon nanotube (SWCNT) with light waviness along its axis is modeled by the nonlocal Euler-Bernoulli and Timoshenko beam theory. Unlike the Euler-Bernoulli beam model (EBM), the effects of transverse shear deformation and rotary inertia are considered within the framework of the TIMOSHENKO BEAM MODEL (TBM). The surrounding elastic medium is described as both Winkler-type and Pasternak-type foundation models. The governing equations are derived using Hamilton’s principle, and the Galerkin method is applied to solve these equations. According to this study, the results indicate that the frequency calculated by TBM is lower than that obtained by EBM. Detailed results show that the importance of transverse shear deformation and rotary inertia become more significant for stocky SWCNTs with clamped-clamped boundary conditions. Moreover, the influences of the amplitude of waviness, nonlocal parameter, medium constants, boundary conditions and aspect ratio are analyzed and discussed. It is shown that waviness in the curved SWCNT causes an obvious increase in the natural frequency in comparison with the straight SWCNT, especially for a compliant medium, pinned-pinned boundary condition, short SWCNT and large nonlocal coefficient.

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References

DYNAMIC ANALYSIS OF A CLAMPED WAVY SINGLE WALLED CARBON NANOTUBE BASED NANOMECHANICAL SENSORS

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APA: Copy

SOLTANI, PAYAM, KASSAEI, AMIR, TAHERIAN, MOHAMMAD MEHDI, & FARSHIDIANFAR, ANOOSHIRAVAN. (2012). VIBRATION OF WAVY SINGLE-WALLED CARBON NANOTUBES BASED ON NONLOCAL EULER BERNOULLI AND TIMOSHENKO MODELS. INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING, 4(-), 1-10. SID. https://sid.ir/paper/319717/en

Vancouver: Copy

SOLTANI PAYAM, KASSAEI AMIR, TAHERIAN MOHAMMAD MEHDI, FARSHIDIANFAR ANOOSHIRAVAN. VIBRATION OF WAVY SINGLE-WALLED CARBON NANOTUBES BASED ON NONLOCAL EULER BERNOULLI AND TIMOSHENKO MODELS. INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING[Internet]. 2012;4(-):1-10. Available from: https://sid.ir/paper/319717/en

IEEE: Copy

PAYAM SOLTANI, AMIR KASSAEI, MOHAMMAD MEHDI TAHERIAN, and ANOOSHIRAVAN FARSHIDIANFAR, “VIBRATION OF WAVY SINGLE-WALLED CARBON NANOTUBES BASED ON NONLOCAL EULER BERNOULLI AND TIMOSHENKO MODELS,” INTERNATIONAL JOURNAL OF ADVANCED STRUCTURAL ENGINEERING, vol. 4, no. -, pp. 1–10, 2012, [Online]. Available: https://sid.ir/paper/319717/en

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