TY  - JOUR
TT  - A Nonlocal Strain Gradient Shell Model for Free Vibration Analysis of Functionally Graded Shear Deformable Nanotubes
AU  - Tadi Beni, Yaghoub
AU  - Mehralian, Fahimeh
PY  - 2017
DA  - July
Y2  - 2017
DO  - 10.24107/ijeas.309818
JF  - International Journal of Engineering and Applied Sciences
JO  - IJEAS
PB  - Akdeniz University
WT  - DergiPark
SN  - 1309-0267
SP  - 88
EP  - 102
VL  - 9
IS  - 2
KW  - Nonlocal strain gradient theory
KW  - Nanotube
KW  - Vibration
KW  - Size-dependent
N2  - Inthe current study, the size dependent free vibration of shear deformablefunctionally graded (FG) nanotubes is investigated. The nanotube is modeled ascylindrical shell which contains small scale effects by using the nonlocalstrain gradient theory. Material properties of the FG nanotube are assumed tobe variable along thickness direction according to power law distribution. TheHamilton’s principle is implemented to derive the governing equations andboundary conditions. The numerical results are presented for simply supportedFG nanotube and the influence of different parameters, such as nonlocalparameter, length scale parameter, length, thickness and power law index onfrequency of FG nanotube are extensively studied. The results reveal that thefrequency is significantly size dependent.
CR  - citation 1
UR  - https://doi.org/10.24107/ijeas.309818
L1  - https://dergipark.org.tr/en/download/article-file/307532
ER  -