Structural Engineering and Mechanics

  • 제15권2호
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  • Pages.249-267
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  • 2003
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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Analysis of circular plates on two - parameter elastic foundation

  • Saygun, Ahmet (Faculty of Civil Engineering, Istanbul Technical University) ;
  • Celik, Mecit (Faculty of Civil Engineering, Istanbul Technical University)
  • 발행 : 2003.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, circular plates subjected to general type of loads and supported on a two-parameter elastic foundation are analysed. The stiffness, elastic bedding and soil shear effect matrices of a fully compatible ring sector plate element, developed by Saygun (1974), are obtained numerically assuming variable thickness of the element. Ring sector soil finite element is also defined to determine the deflection of the soil surface outside the domain of the plate in order to establish the interaction between the plate and the soil. According to Vallabhan and Das (1991) the elastic bedding (C) and shear parameters ($C_T$) of the foundation are expressed depending on the elastic constants ($E_s$, $V_s$) and the thickness of compressible soil layer ($H_s$) and they are calculated with a suitable iterative procedure. Using ring sector elements presented in this paper, permits the generalization of the loading and the boundary conditions of the soil outside the plate.

키워드

참고문헌

  1. Brown, P.T. (1969), "Numerical analysis of uniformly loaded circular rafts on an elastic layer of finite depth", Geotechnique, 19, 301-306. https://doi.org/10.1680/geot.1969.19.2.301
  2. Celik, M. and Saygun, A.I. (1999), "A method for the analysis of plates on two parameter foundation", Int. J. Solids Struct., 36, 2891-2916. https://doi.org/10.1016/S0020-7683(98)00135-8
  3. Çelik, M. (1996), "Plate finite element formulation including shear deformation and a method for the analysis of plate on two parameter foundation", Ph.D. Thesis, Istanbul Technical University, (in Turkish.)
  4. Jones, R. and Xenophontos, J. (1977), "The Vlasov foundation model", Int. J. Mech. Sci., 19, 317-323. https://doi.org/10.1016/0020-7403(77)90084-4
  5. Pasternak, P.L. (1954), On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants, Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu i Arkhitekture, Moscow (in Russian).
  6. Saygun, A.I. (1974), "Curved elements for the analysis of plates and shells", Ph. D. Thesis, Istanbul Technical University, (in Turkish).
  7. Szilard, R. (1974), Theory and Analysis of Plates, Classical and Numerical Methods. Prentice-Hall, Englewood, New Jersey.
  8. Vallabhan, C.V.G. and Das, Y.C. (1991), "Refined model for analysis of plates on elastic foundations", J. Eng. Mech., 117, 2830-2844. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:12(2830)
  9. Vallabhan, C.V.G. and Das. Y.C. (1988), "Parametric study of beams on elastic foundations", J. Eng. Mech., 114, 2072-2082 . https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2072)
  10. Vallabhan, C.V. and Das, Y.C. (1991). "A refined model for beams on elastic foundations", Int. J. Solid Struct., 27, 629-637. https://doi.org/10.1016/0020-7683(91)90217-4
  11. Vallabhan, C.V.G., Straughan, W.T. and Das, Y.C. (1991), "Refined model for analysis of plates on elastic foundations", J. Eng. Mech., 117, 2830-2844. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:12(2830)
  12. Vallabhan, C.V. and Dalo lu, A.T. (1997), "Consistent FEM-Vlasov model for slabs on elastic foundations", Seventh International Conference on Computing in Civil and Building Engineering, 19-21 August, Seoul, Korea, pp.57-62.
  13. Vallabhan, C.V. and Das, Y.C. (1991), "Analysis of circular tank foundation", J. Eng. Mech., 117, 789-797. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:4(789)
  14. Vlasov, V.Z. and Leontev, U.N. (1966), "Beams, plates, and shells on elastic foundation", Israel Program for Scientific Translation, Jerusalem.

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  3. Determination of the Vlasov foundation parameters -quadratic variation of elasticity modulus- using FE analysis vol.19, pp.6, 2005, https://doi.org/10.12989/sem.2005.19.6.619
  4. Beams and plates on elastic foundations: a review vol.7, pp.4, 2005, https://doi.org/10.1002/pse.202
  5. The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations 2017, https://doi.org/10.1007/s00466-017-1484-2
  6. Axisymmetric forced vibrations of an elastic free circular plate on a tensionless two parameter foundation vol.301, pp.3-5, 2007, https://doi.org/10.1016/j.jsv.2006.09.029
  7. RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations vol.51, 2015, https://doi.org/10.1016/j.enganabound.2014.10.011