Variational derivative for buckling loads of beams and frames

Eratli N., GURSOY A.

INTERNATIONAL APPLIED MECHANICS, vol.41, no.7, pp.825-830, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 7
  • Publication Date: 2005
  • Doi Number: 10.1007/s10778-005-0151-z
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.825-830
  • Istanbul Technical University Affiliated: Yes


The finite-difference method is a numerical technique for obtaining approximate solutions to differential equations. The main objective of the present study is to give a new aspect to the finite-difference method by using a variational derivative. By applying this formulation, accurate values of the buckling loads of beams and frames with various end supports are obtained. The performance of this formulation is verified by comparison with numerical examples in the literature.