Open AccessLongitudinal vibration of nanorods embedded in an elastic medium with elastic restraints at both ends
Author(s) -
Yayli Mustafa Özgür,
Yanik Fatma,
Kandemir Suheyla Yerel
Publication year - 2015
Publication title -
micro and nano letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.25
H-Index - 31
ISSN - 1750-0443
DOI - 10.1049/mnl.2014.0680
Subject(s) - fourier sine and cosine series , nanorod , vibration , elasticity (physics) , materials science , computation , fourier transform , mechanics , physics , composite material , mathematical analysis , mathematics , acoustics , fourier analysis , nanotechnology , algorithm , fractional fourier transform
Longitudinal vibration of nanorods embedded in an elastic medium with elastic restraints at both ends is studied based on the non‐local elasticity theory. Using Fourier sine series and Stokes’ transformation, a coefficient matrix is obtained. It is very useful for calculating the vibrational frequencies of a nanorod with any type of boundary condition (rigid or restrained). Finally, carrying out some numerical computations, the effects of the elastic medium, non‐local parameters and elastic restraints at both ends on the values of vibrational frequencies have been determined. The numerical results are validated through comparison of calculated values with those in the literature.