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Effect of soil coefficients and Poisson’s ratio on the behavior of modified Euler-Bernoulli beam lying on Winkler foundation

Yıl 2017, Cilt: 3 Sayı: 2, 50 - 53, 15.12.2017

Öz

Beside
the geometric acceptations on deriving the mathematical model of the structural
elements the material specifications can affect their different fundamental
responses. Respectively, in this study standard Euler-Bernoulli beam theory is
adjusted and modified to comprise the effect of Poisson’s ratio on the
mechanical model of the beam. The interaction between beams and the soil medium
below the beams alter the actual behavior of the beams. In this study, the
equation of motion of the beam lying on Winkler foundation is derived via
adopting the extended Hamilton principle. This new formulation is used to
investigate the soil-structure interaction features of the modified beam with
uniform cross sectional area. Three different soil types is considered. The
non-dimensional mathematical model of the proposed beam is also obtained.
Finally, the effect of the Poisson’s ratio and foundation spring coefficient on
the behavior of the proposed beam is discussed and demonstrated through given
diagrams.

Kaynakça

  • [1] Dutta S.C., R.Roy “A critical review on idalization and modeling for interaction among soil–foundation–structure system“ Computers and Structures. 80 (2002)1579-1594.
  • [2] Wang C.M., J.N.Reddy, K.H.Lee “Shear deformable beams and plates“ 1st Edn., Elsevier Science, Kidlington, Oxford, UK (2000).
  • [3] Basu D., N.S.V.K.Rao “Analytical solutions for Euler – Bernoulli beam on visco – elastic foundation subjected to moving load“ International Journal for Numerical and Analytical Methods in Geomechanics. 37 (2013)945- 960.
  • [4] Djondjorov P., V.Vassilev, V.Dzhupanov “Dynamic stability of fluid conveying cantilevered pipes on elastic foundations“ Journal of Sound and Vibration. 247-3 (2001) 537-546.
  • [5] Cazzani A. “On the dynamics of a beam partially supported by an elastic foundation: an exact solution-set“ International Journal of Structural Stability and Dynamics. 13 (2013)30.
  • [6] Dağlı B.Y., B.G.Sınır “Dynamics of transversely vibrating pipes under non-classical boundary conditions“ Universal Journal of Mechanical Engineering. 3-2 (2015)27-33.
Yıl 2017, Cilt: 3 Sayı: 2, 50 - 53, 15.12.2017

Öz

Kaynakça

  • [1] Dutta S.C., R.Roy “A critical review on idalization and modeling for interaction among soil–foundation–structure system“ Computers and Structures. 80 (2002)1579-1594.
  • [2] Wang C.M., J.N.Reddy, K.H.Lee “Shear deformable beams and plates“ 1st Edn., Elsevier Science, Kidlington, Oxford, UK (2000).
  • [3] Basu D., N.S.V.K.Rao “Analytical solutions for Euler – Bernoulli beam on visco – elastic foundation subjected to moving load“ International Journal for Numerical and Analytical Methods in Geomechanics. 37 (2013)945- 960.
  • [4] Djondjorov P., V.Vassilev, V.Dzhupanov “Dynamic stability of fluid conveying cantilevered pipes on elastic foundations“ Journal of Sound and Vibration. 247-3 (2001) 537-546.
  • [5] Cazzani A. “On the dynamics of a beam partially supported by an elastic foundation: an exact solution-set“ International Journal of Structural Stability and Dynamics. 13 (2013)30.
  • [6] Dağlı B.Y., B.G.Sınır “Dynamics of transversely vibrating pipes under non-classical boundary conditions“ Universal Journal of Mechanical Engineering. 3-2 (2015)27-33.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm ICCESEN-2016
Yazarlar

B. Gültekin Sınır Bu kişi benim

Yayımlanma Tarihi 15 Aralık 2017
Gönderilme Tarihi 26 Ekim 2017
Kabul Tarihi 28 Ekim 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 3 Sayı: 2

Kaynak Göster

APA Sınır, B. G. (2017). Effect of soil coefficients and Poisson’s ratio on the behavior of modified Euler-Bernoulli beam lying on Winkler foundation. International Journal of Computational and Experimental Science and Engineering, 3(2), 50-53.