Euler, Timoshenko and high shear deformation theories to analyze the free vibration of functionally graded (FG) beam were developed. The mechanical properties this assumed differ in thickness direction according model a power-law distribution. principle Hamilton was used find equations motion. For vibration, analytical solution these presented using Navier method. effect power index, aspect rat...

In the present study, the analysis of nonlinear vibration for a simply-supported flexible beam with a constant velocity carrying a moving mass is studied. The amplitude of vibration assumed high and its deformation rate is assumed slow. Due to the high amplitude of vibrations, stretching is created in mid-plane, resulting in, the nonlinear strain-displacement relations is obtained, Thus, Nonlin...