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Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes

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Summary

Vibration and buckling of in-plane loaded simply supported double-walled carbon nanotubes were investigated using the nonlocal Timoshenko-beam theory. The influence of in-plane loads on the natural frequencies was determined. The results show that while the natural frequencies decrease with increasing compressive in-plane loads, an increase in frequencies is observed for tension type of in-plane loads. Effects of in-plane loads are more pronounced for lower modes, and some mode changes are observed at critical in-plane loads. A comparison of nonlocal elasticity solutions with local elasticity solutions indicates that the nonlocal effects should be considered for higher modes of vibration of double-walled carbon nanotubes.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Trakya University, Edirne, Turkey

    M. C. Ece & M. Aydogdu

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  1. M. C. Ece
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  2. M. Aydogdu
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Correspondence to M. Aydogdu.

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Ece, M.C., Aydogdu, M. Nonlocal elasticity effect on vibration of in-plane loaded double-walled carbon nano-tubes. Acta Mechanica 190, 185–195 (2007). https://doi.org/10.1007/s00707-006-0417-5

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  • DOI: https://doi.org/10.1007/s00707-006-0417-5

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