Response of forced Euler-Bernoulli beams using differential transform method

Catal S.

STRUCTURAL ENGINEERING AND MECHANICS, cilt.42, sa.1, ss.95-119, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2012
  • Dergi Adı: STRUCTURAL ENGINEERING AND MECHANICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.95-119
  • Anahtar Kelimeler: differential transform method, forced vibration, partial differential equations, natural frequencies, FREE-VIBRATION, ELASTIC SOIL
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, forced vibration differential equations of motion of Euler-Bernoulli beams with different boundary conditions and dynamic loads are solved using differential transform method (DTM), analytical solutions. Then, the modal deflections of these beams are obtained. The calculated modal deflections using DTM are represented in tables and depicted in graphs and compared with the results of the analytical solutions where a very good agreement is observed.