Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method

ATAY M. T., Coskun S. B.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.58, ss.2528-2534, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 58
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.camwa.2009.03.051
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2528-2534
  • Anahtar Kelimeler: Variational iteration method, Buckling, Continuous restraint, Euler column, Elastic stability, BESSEL, BARS
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, analysis of elastic stability for continuously restrained Euler columns is conducted by means of variational iteration method (VIM). A uniform homogeneous column is assumed to be restrained along its length. The restraint considered in this study is an elastic foundation model in engineering practice and it is of great interest to foundation engineers. Hence, the variation of the critical buckling loads with the stiffness of elastic restraint is investigated using VIM for the restrained columns with different end conditions. Obtaining analytical solutions for these types of problems is not a simple procedure since the equations of stability criteria are highly nonlinear. This study presents the application of VIM for obtaining exact solutions for continuously restrained Euler columns. The study proves that VIM is a very efficient and promising approach in the elastic stability analysis of specified problems. (C) 2009 Elsevier Ltd. All rights reserved.