In the present paper, forced vibration analysis of axially functionally graded tapered beam is studied considering different boundary conditions. In each boundary condition variation of material properties (i.e. elastic modulus & density) and thickness is considered in the axial direction. In the present scenario three types of variation of axially functionally graded material is considered with three types of taper profiles. The governing equations of the problem are generated using Hamilton's principle and solution is carried out following a direct substitution scheme. The results of nonlinear forced vibration analysis are plotted as characteristics curve i.e. Non-dimensional frequency response curves for different boundary condition with different variations of material and geometric properties.

Keywords: Axially functionally graded beam, Forced vibration, Frequency response and Hamilton's principle.