APPLICATION OF MODIFIED VLASOV MODEL TO FREE VIBRATION ANALYSIS OF BEAMS RESTING ON ELASTIC FOUNDATIONS

✍ Scribed by Y. AYVAZ; K. ÖZGAN

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 265 KB
• Volume: 255
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.2001.4143

✦ Synopsis

The purpose of this paper is to apply the modi"ed Vlasov model to the free vibration analysis of beams resting on elastic foundations and to analyze the e!ects 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 "nite element method. The "rst ten frequency parameters are presented in tabular and graphical forms to evaluate the e!ects of the parameters considered in this study. Then mode shapes corresponding to the "rst six of the frequency parameters are given in "gures. It is concluded that the e!ect 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.