Vibrations are ubiquitous in mechanical or biological systems, and they ruinous numerous circumstances. We develop a viscoelastic Timoshenko beam model, which naturally captures distinctive power-law responses arising from broad distribution of time-scales presented the complex internal structures materials so provides very competitive description beams, thick beams subject to high-frequency ex...

We investigate the propagation of spatial solitons in cylindrical strongly nonlocal media by a method of image beam of light. The dynamic force of the soliton steering resulting from the boundary effect is equivalent to the force between the soliton beam and the image beam. The trajectory of the soliton is analytically studied, which is in good agreement with the experimental results.

A functionally graded material beam with generalized boundary conditions is contemplated in the present study in order to examine the deformation and stress behavior under thermal and thermo-mechanical load. Three discrete combinations of functionally graded materials have been deliberate in including a wide range of materials and material properties. The variation of material properties has be...