Variational Iteration Method for Transverse Vibrations of the Elastic, Tensioned Beam

摘要

In this study, the dynamic behavior of an axially accelerating, elastic, tensioned beam are determined using variational iteration method. The axial velocity is considered as a constant mean velocity. Analytical solutions for these types of problems are exactly limited in some cases. Therefore, we need numerical methods to analyse such problems. For the solutions of linear or nonlinear problems, variational iteration method is introduced as an effective analytical approximation technique. It is concluded that proposed technique is an efficient tool for the analysis of specified problems for which an analytical solution does not exist.