Nonlinear vibrations of nano-beams accounting for nonlocal effect
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 4th Jiangsu-Hong Kong Forum on Mechanics and Its Application |
| Pages | 764 |
| Publication status | Published - 16 May 2008 |
Conference
| Title | 4th Jiangsu-Hong Kong Forum on Mechanics and Its Application |
|---|---|
| Place | China |
| City | Suzhou |
| Period | 16 - 17 May 2008 |
Link(s)
| Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(48c6fd62-9295-409f-82ad-c0e6ad9020ae).html |
|---|
Abstract
The nonlinear free transverse vibrations of a nano-beam on simple supports are investigated accounting for the nonlocal elasticity theory. The governing equation is proposed considering the geometric nonlinearity due to finite stretching of the beam. The method of multiple scales is applied directly to the governing equation. Via analyzing the solvability condition of the higher order differential equation, the nonlinear natural frequencies are obtained by an explicit expression. Numerical examples are presented to demonstrate the analytical results and to highlight the contributions of the nonlinear term and nonlocal parameter.
Research Area(s)
- nano-beams, nonlinear vibrations, nonlocal effect, multiple scale method
Citation Format(s)
Nonlinear vibrations of nano-beams accounting for nonlocal effect. / Yang, Xiao-Dong; LIM, C.W.
Proceedings of the 4th Jiangsu-Hong Kong Forum on Mechanics and Its Application. 2008. p. 764.
Proceedings of the 4th Jiangsu-Hong Kong Forum on Mechanics and Its Application. 2008. p. 764.
Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review
