A Nonlocal Strain Gradient Shell Model for Free Vibration Analysis of Functionally Graded Shear Deformable Nanotubes
Abstract
In
the current study, the size dependent free vibration of shear deformable
functionally graded (FG) nanotubes is investigated. The nanotube is modeled as
cylindrical shell which contains small scale effects by using the nonlocal
strain gradient theory. Material properties of the FG nanotube are assumed to
be variable along thickness direction according to power law distribution. The
Hamilton’s principle is implemented to derive the governing equations and
boundary conditions. The numerical results are presented for simply supported
FG nanotube and the influence of different parameters, such as nonlocal
parameter, length scale parameter, length, thickness and power law index on
frequency of FG nanotube are extensively studied. The results reveal that the
frequency is significantly size dependent.
References
- citation 1
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Acceptance Date | May 25, 2017 |
| Publication Date | May 29, 2017 |
| Published in Issue | Year 2017 Volume: 9 Issue: 2 |