Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method


Balkaya M., Kaya M. O. , SAGLAMER A.

ARCHIVE OF APPLIED MECHANICS, vol.79, no.2, pp.135-146, 2009 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 2
  • Publication Date: 2009
  • Doi Number: 10.1007/s00419-008-0214-9
  • Journal Name: ARCHIVE OF APPLIED MECHANICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.135-146
  • Keywords: Differential transform method, DTM, Elastic soil, Vibration, Beam, Pipeline, TIMOSHENKO BEAMS, FOUNDATION, EQUATIONS
  • Istanbul Technical University Affiliated: Yes

Abstract

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 DTM is introduced briefly. DTM can easily be applied to linear or nonlinear problems and reduces the required computational effort. With this method exact solutions may be obtained without any need for cumbersome calculations and it is a useful tool for analytical and numerical solutions. To clarify and illustrate the features and capabilities of the presented method, various problems have been solved by using the technique and solutions have been compared with those obtained in the literature.