Nonlinear forced vibrations of periodic beams

摘要

The paper deals with forced transverse vibrations of slender periodic beams of finite length. It is assumed that the vibration amplitude is of the order of beam thickness. The proposed model is obtained in the framework of the tolerance modelling technique and studied numerically using Galerkin method. The description is based on the tolerance approach to averaging of differential operators, using the concept of weakly slowly-varying function. The resulting differential equations with constant coefficients involve the effect of periodicity cell length. The dynamic response equations are arrived using pseudo-arclength method.