Vibrations of a simply supported beam with a non-ideal support at an intermediate point

Pakdemirli M., Boyaci H.

Mathematical and Computational Applications, vol.8, no.1-3, pp.159-164, 2003 (Scopus, TRDizin) identifier

  • Publication Type: Article / Abstract
  • Volume: 8 Issue: 1-3
  • Publication Date: 2003
  • Doi Number: 10.3390/mca8020159
  • Journal Name: Mathematical and Computational Applications
  • Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.159-164
  • Keywords: Non-ideal boundary conditions, Nonlinear beam vibrations, Perturbation methods
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

A simply supported Euler-Bernoulli beam with an intermediate support is considered. The concept of non-ideal boundary conditions is applied to the beam problem. In accordance, the intermediate support is assumed to allow small deflections. Approximate analytical solution of the problem is found using the Method of Multiple Scales, a perturbation technique. Ideal and non-ideal frequency response curves are contrasted.