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

Müge Balkaya*, Metin O. Kaya, Ahmet Saǧlamer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)135-146
Number of pages12
JournalArchive of Applied Mechanics
Volume79
Issue number2
DOIs
Publication statusPublished - Feb 2009

Keywords

  • Beam
  • Differential transform method
  • DTM
  • Elastic soil
  • Pipeline
  • Vibration

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