Effects of spring stiffness and spring position on the stability of cantilever thick beams

Sabuncu M., ÖZTÜRK H.

Modelling, Measurement and Control B, vol.71, pp.33-52, 2002 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 71
  • Publication Date: 2002
  • Journal Name: Modelling, Measurement and Control B
  • Journal Indexes: Scopus
  • Page Numbers: pp.33-52
  • Keywords: Buckling, Dynamic Stability, Finite Element, Static Stability, Timoshenko Beam
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this study, the effects of spring stiffness and spring position on the static and dynamic stability of cantilever, non-uniform cross-sectioned, Timoshenko beams subjected to periodic axial loading are examined, Average stepped finite elements are used in the analysis representing approximately the variation of cross-section, The beam modeled, the Timoshenko beam, is a four degrees of freedom finite element developed by Narayanaswami and Adelman. Using energy expressions in conjunction with Bolotin's approach, the study is carried out employing various disturbing frequency ranges in which the beam is to be unstable. The effect of stiffness of elastic supports having linear translation spring and torsional spring, position of elastic support and variations of length and cross-sectioned for six different types of beams on the static and dynamic stability is investigated, The results of this investigation are given in the tables and graphics.