Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5022726 | International Journal of Engineering Science | 2016 | 15 Pages |
Abstract
Within the framework of the nonlocal strain gradient theory, a size-dependent shaft model, which can account for the through-radius power-law variation of two-constituent functionally graded (FG) materials, is derived to investigate the small-scaled effects on the static and dynamic torsion behaviors. The equations of torsional motion and corresponding boundary conditions of the size-dependent FG shaft are derived in terms of the Hamilton's principle. The shaft models can account for the small-scaled effects of the inter-atomic long-range force and the microstructure deformation mechanism by introducing material length scale and nonlocal parameters. An analysis on the harmonic propagation with time torsional waves in a nonlocal strain gradient FG shaft is carried out. In the case of clamped-clamped boundary conditions, analytical solutions are obtained for the free vibration and static torsion problems of nonlocal strain gradient FG shafts. The effects of small-scaled parameters and the through-radius power-law variation of a two-constituent FG material on wave propagation, free vibration and static torsion are investigated in details.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Yang Shen, Yongjie Chen, Li Li,