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Vibration analysis of single-walled carbon peapods based on nonlocal Timoshenko beam theory

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Abstract

In this article, vibration behavior of single-walled carbon nanotube encapsulating C60 molecules is studied using the Eringen’s nonlocal elasticity theory within the frame work of Timoshenko beam theory. The governing equation and boundary conditions are derived using Hamilton’s principle. It is considered that the nanopeapod is embedded in an elastic medium and the C60 molecules are modeled as lumped masses attached to the nanobeam. The Galerkin’s method is applied to determine the natural frequency of the nanobeam with clamped–clamped boundary conditions. Effects of nonlocality, foundation stiffness, and ratio of the fullerenes’ mass to the nanotube’s mass on the natural frequencies are investigated. In addition, by vanishing effects of shear deformation and rotary inertia, the results based on Euler–Bernoulli beam theory are presented.

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Authors and Affiliations

  1. Faculty of Engineering, Department of Mechanics, Imam Khomeini International University, Qazvin, 3414916818, Iran

    Majid Ghadiri, Hamid Hajbarati & Mohsen Safi

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  1. Majid Ghadiri
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  2. Hamid Hajbarati
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  3. Mohsen Safi
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Correspondence to Majid Ghadiri.

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Ghadiri, M., Hajbarati, H. & Safi, M. Vibration analysis of single-walled carbon peapods based on nonlocal Timoshenko beam theory. Appl. Phys. A 123, 260 (2017). https://doi.org/10.1007/s00339-017-0811-y

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  • DOI: https://doi.org/10.1007/s00339-017-0811-y

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