Response of forced Euler-Bernoulli beams using differential transform method

Catal S.

STRUCTURAL ENGINEERING AND MECHANICS, vol.42, no.1, pp.95-119, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2012
  • Journal Name: STRUCTURAL ENGINEERING AND MECHANICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.95-119
  • Keywords: differential transform method, forced vibration, partial differential equations, natural frequencies, FREE-VIBRATION, ELASTIC SOIL
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.