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, cilt.79, ss.135-146, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 79 Konu: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s00419-008-0214-9
  • Dergi Adı: ARCHIVE OF APPLIED MECHANICS
  • Sayfa Sayıları: ss.135-146

Özet

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.