Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method

In the present study, buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study made functionally graded materials longitudinal direction and varies continuously throughout axial direction. Bernoulli–Euler beam theory conjunction modified strain gradient are employed to model structure by considering size effect. Rayleigh–Ritz numerical solution method used solve eigenvalue for various conditions. influences changes Young’s modulus, dependency, non-classical boundary conditions examined detail. It observed that effect becomes more pronounced smaller sizes differences between classical loads increase increasing taper ratios.