Eigenvalue problems of beams with wedge-shaped Vlasov foundations


Gedikli A.

JOURNAL OF SOUND AND VIBRATION, vol.300, pp.817-830, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 300
  • Publication Date: 2007
  • Doi Number: 10.1016/j.jsv.2006.08.038
  • Journal Name: JOURNAL OF SOUND AND VIBRATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.817-830
  • Istanbul Technical University Affiliated: Yes

Abstract

Eigenvalue problems of the Euler–Bernoulli beams, fixed on an elastic foundation layer of Vlasov type with variable depth, have been investigated. The mixed finite element method based on the weak formulation is used. Displacements and moments are the primary variables of the presented mixed method. Their first derivatives are the secondary variables. The behavior matrices of the beam element have been obtained by the use of the weak formulation satisfying equilibrium and compatibility equations.

Eigenvalue problems of the Euler-Bernoulli beams, fixed on an elastic foundation layer of Vlasov type with variable depth, have been investigated. The mixed finite element method based on the weak formulation is used. Displacements and moments are the primary variables of the presented mixed method. Their first derivatives are the secondary variables. The behavior matrices of the beam element have been obtained by the use of the weak formulation satisfying equilibrium and compatibility equations. (c) 2006 Elsevier Ltd. All rights reserved.