Eigenvalue problems of beams with wedge-shaped Vlasov foundations


Gedikli A.

JOURNAL OF SOUND AND VIBRATION, cilt.300, ss.817-830, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 300
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jsv.2006.08.038
  • Dergi Adı: JOURNAL OF SOUND AND VIBRATION
  • Sayfa Sayıları: ss.817-830

Özet

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.

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.