Application of modified Vlasov model to free vibration analysis of beams resting on elastic foundations

Ayvaz Y., Ozgan K.

JOURNAL OF SOUND AND VIBRATION, vol.255, no.1, pp.111-127, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 255 Issue: 1
  • Publication Date: 2002
  • Doi Number: 10.1006/jsvi.2001.4143
  • Journal Name: JOURNAL OF SOUND AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.111-127
  • Karadeniz Technical University Affiliated: No

Abstract

The purpose of this paper is to apply the modified Vlasov model to the free vibration analysis of beams resting on elastic foundations and to analyze the effects of the subsoil depth, the beam length, their ratio and the value of the vertical deformation parameter within the subsoil on the frequency parameters of beams on elastic foundations. This analysis has been carried out by the aid of a computer program based on the finite element method. The first ten frequency parameters are presented in tabular and graphical forms to evaluate the effects of the parameters considered in this study. Then mode shapes corresponding to the first six of the frequency parameters are given in figures. It is concluded that the effect of the subsoil depth on the frequency parameters of beams on an elastic foundation is generally larger than those of the other parameters considered in this study. (C) 2002 Elsevier Science Ltd. All rights reserved.