Free axial vibration analysis of nanoscaled rods embedded in an elastic medium via Rayleigh and nonlocal elasticity theory

This thesis, examined the axial vibration analysis of the Rayleigh nanorods in an elastic medium under different support conditions. As known, rigid boundary conditions are valid only for special cases. Within the scope of this study; in the field of nanotechnology, which has developed and continues to develop in recent years, an analytical method analysis of boundary conditions, which can also be practiced, has been carried out. This thesis study performed an axial static analysis of the axially linear loaded beam and a bending analysis of a microbeam, as recommended by Eringen, in accordance with the theory of the nonlocal elasticity. The weighted residual methods were utilized during these analyzes. In providing these reviews, the effects generated by the differences and changes of the analysis results are observed, by receiving different values in parameters, boundary conditions and loading states, which are considered to have an impact on the analysis results.