Vibration Analysis of A Composite Beam with Non-Ideal Boundary Conditions

This paper deals with the vibration analysis of an Euler-bernouli composite beam subjected to axial loading. The boundaries are assumed to allow small deflections and moments. So, the concept of non-ideal boundary conditions is applied to the beam problem. The governing equation of the system is derived as a homogenous partial differential equation. The perturbation parameter is used to model the non-ideal boundary conditions. The problem is solved by Lindstedt-poincare technique. The effects of the non-ideal boundary conditions on the amplitude and frequency of vibration as well as the critical buckling load are studied.