The Consistent Couple Stress Theory-Based Vibration and Post-Buckling Analysis of Bi-directional Functionally Graded Microbeam

The present work aims to study the free vibration, buckling and post-buckling behaviors of bidirectional functionally graded (BDFG) microbeams. material properties a BDFG microbeam were varied continuously in both thickness axial directions. Furthermore, four different kinds distribution function taken into consideration, two which symmetrical direction, remaining asymmetrical. Employing Timoshenko beam theory consistent couple stress (CCST), governing equations associated boundary conditions microbeams formulated by Hamilton’s principle. differential quadrature method (DQM) Newton’s applied solve eigenvalue problems path, respectively. Finally, several parametric investigations carried out probe influence functions, length ratio, gradient indexes size effect on vibration under conditions.