Analysis of free vibration of beam on elastic soil using differential transform method

Catal S.

STRUCTURAL ENGINEERING AND MECHANICS, cilt.24, sa.1, ss.51-62, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.12989/sem.2006.24.1.051
  • Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.51-62
  • Anahtar Kelimeler: differential transformation method, partial differential equation, motion equation, free motion, elastic soil
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Differential transforin method (DTM) for free vibration analysis of both ends simply supported beam resting on elastic foundation is suggested. The fourth order partial differential equation for free vibration of the beam resting on elastic foundation subjected to bending moment, shear and axial compressive load is obtained by using Winkler hypothesis and small displacement theory. It is assumed that the material is linear-elastic, and that axial load and modulus of subgrade reaction to be constant. In the analysis, shear and axial load effects are considered. The frequency factors of the beam are calculated by using DTM due to the values of relative stifffiess; the results are presented in graphs and tables.