Analysis of Vibration of a Pipeline Supported on Elastic Soil Using Differential Transform Method

In this paper, a simulation method called the differential transform Method (DTM) is employed to predict the vibration of an Euler-Bernoulli and Timoshenko beam (pipeline) resting on an elastic soil. The differential transform method is introduced briefly. DTM can easily be applied to linear or nonlinear problems and reduces the size of computational work. With this method exact solutions may be obtained without any need of cumbersome work and it is a useful tool for analytical and numerical solutions. To make clear and illustrate the features and capabilities of the presented method, different problems have been solved by using the technique and solutions have been compared with those obtained in the literature.