Eigenvalue problems of beams with wedge-shaped Vlasov foundations

Abdullah Gedikli

doi:10.1016/j.jsv.2006.08.038

Eigenvalue problems of beams with wedge-shaped Vlasov foundations

Abdullah Gedikli^*

^*Corresponding author for this work

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	817-830
Number of pages	14
Journal	Journal of Sound and Vibration
Volume	300
Issue number	3-5
DOIs	https://doi.org/10.1016/j.jsv.2006.08.038
Publication status	Published - 6 Mar 2007

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title = "Eigenvalue problems of beams with wedge-shaped Vlasov foundations",

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.",

author = "Abdullah Gedikli",

year = "2007",

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language = "English",

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AU - Gedikli, Abdullah

PY - 2007/3/6

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N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33845905778&partnerID=8YFLogxK

U2 - 10.1016/j.jsv.2006.08.038

DO - 10.1016/j.jsv.2006.08.038

M3 - Article

AN - SCOPUS:33845905778

SN - 0022-460X

VL - 300

SP - 817

EP - 830

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 3-5

ER -

Eigenvalue problems of beams with wedge-shaped Vlasov foundations

Abstract

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