Frequency and mode veering phenomena of axially functionally graded non-uniform beams with nonlocal residuals

摘要: Abstract A Timoshenko beam model for axially functionally graded (FG) non-uniform nanobeams with nonlocal residuals is developed. Eringen’s theory of linear elasticity used to the effects on natural frequencies and mode shapes FG nanobeam. The derived numerically solved using Chebyshev spectral collocation method. With method, discretization a system partial differential equations variable coefficients can be easier performed implemented. solution are harnessed study, first time, eigenvalue loci veering phenomena residuals. It demonstrated that there threshold value size at which frequency shape may take place. This behavior discovered in beams due material geometry grading In addition these contributions, parametric study size, material, nonlocal-beams performed. design optimization different nano-devices made materials.