Yayın: Free vibration analysis of a single-walled carbon nanotube embedded in an elastic matrix under rotational restraints
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Kurum Yazarları
Yaylı, Mustafa Özgür
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Wiley
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Özet
Free vibration analysis of a restrained carbon nanotube in an elastic matrix subjected to rotationally restrained boundary conditions is investigated based on Eringen's non-local elasticity. The analytical solution for free vibration frequencies and corresponding mode shapes of single-walled carbon nanotubes are established. Using Fourier series and Stokes' transformation, a useful coefficient matrix is derived. The present analytical formulation permits to have more efficient coefficient matrix for calculating the vibration frequencies of carbon nanotubes with different boundary conditions (rigid or restrained). The eigen values of this matrix give the vibration frequencies. Comparisons between the free vibration frequency results of the present solutions and previous works in the literature are performed. The calculated results show an excellent agreement with other solutions available in the literature.
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Konusu
Science & technology - other topics, Materials science, Single-wall carbon nanotubes, Elasticity, Vibrations, Fourier series, Eigenvalues and eigenfunctions, C., Matrix eigenvalues, Coefficient matrix, Stokes trans, Formation, Fourier series, Mode shapes, Free vibration frequencies, Eringen nonlocal elasticity, Rotationally restrained boundary conditions, Rotational restraints, Elastic matrix, Single-walled carbon nanotube, Free vibration analysis, Nonlocal elasticity, Buckling analysis, Microtubules, Mechanics, Nanorods, Model, Boundary conditions, Carbon nanotubes, Elasticity, Fourier series, Linear transformations, Nanotubes, Single-walled carbon nanotubes (SWCN), Yarn, Analytical formulation, Coefficient matrix, Different boundary condition, Different boundary condition, Free vibration frequency, Free-vibration analysis, Non-local elasticities, Rotational restraints, Vibration frequency, Vibration analysis
Alıntı
Yaylı, M. Ö. (2018). ''Free vibration analysis of a single-walled carbon nanotube embedded in an elastic matrix under rotational restraints''. Micro and Nano Letters, 13(2), 202-206.