Publication: Bending vibrations of rotating nonuniform nanocantilevers using the Eringen nonlocal elasticity theory
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2012-09
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Elsevier
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Abstract
The natural frequencies of the flapwise bending vibrations of a nonuniform rotating nanocantilever has been calculated, considering the true spatial variation of the axial force due to the rotation. The area of the nanobeam cross section is assumed to change linearly. The problem has been formulated using the nonlocal Eringen elasticity theory and it was solved by a pseudo spectral collocation method based on Chebyshev polynomials. The effect of the nonlocal small scale, angular speed, nonuniformity of the sec tion and hub radius on the vibration behavior of the nanocantilever is discussed.
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Keywords
Nonlocal elasticity, Free vibrations, Rotation, Small scale effects
Bibliographic citation
Composite Structures, (Sept. 2012), 94(9), 2990-3001.