Structural Engineering and Mechanics

  • 제38권5호
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  • Pages.573-592
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  • 2011
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear analysis of finite beam resting on Winkler foundation with consideration of beam-soil interface resistance effect

  • Zhang, L. (College of Civil Engineering, Hunan University) ;
  • Zhao, M.H. (College of Civil Engineering, Hunan University) ;
  • Xiao, Y. (College of Civil Engineering, Hunan University) ;
  • Ma, B.H. (College of Civil Engineering, Hunan University)
  • 투고 : 2009.09.30
  • 심사 : 2011.01.12
  • 발행 : 2011.06.10
⟨ 이전 논문 다음 논문 ⟩

초록

Comprehensive and accurate analysis of a finite foundation beam is a challenging engineering problem and an important subject in foundation design. One of the limitation of the traditional Winkler elastic foundation model is that the model neglects the effect of the interface resistance between the beam and the underneath foundation soil. By taking the beam-soil interface resistance into account, a deformation governing differential equation for a finite beam resting on the Winkler elastic foundation is developed. The coupling effect between vertical and horizontal displacements is also considered in the presented method. Using Galerkin method, semi-analytical solutions for vertical and horizontal displacements, axial force, shear force and bending moment of the beam under symmetric loads are presented. The influences of the interface resistance on the behavior of foundation beam are also investigated.

키워드

참고문헌

  1. Aydogan, M. (1995), "Stiffness-matrix formulation of beams with shear effect on elastic foundation", J. Struct. Eng., 121(9), 1265-1270. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:9(1265)
  2. Cojocaru, E.C., Irschik, H. and Schlacher, K. (2003), "Concentrations of pressure between an elastically supported beam and a moving timoshenko-beam", J. Eng. Mech., 129(9), 1076-1082. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:9(1076)
  3. Fabijanic, E. and Tambaca, J. (2009), "Numerical comparison of the beam model and 2D linearized elasticity", Struct. Eng. Mech., 33(5), 621-633. https://doi.org/10.12989/sem.2009.33.5.621
  4. Ghosh, C. and Madhav, M.R. (1994), "Reinforced granular fill-soft soil system: confinement effect", Geotextiles and Geomembranes, 13(5), 727-741. https://doi.org/10.1016/0266-1144(94)90060-4
  5. Huang, F.Y. and Shi, G.L. (1998), "Finite element analysis of pressure vessel using beam on elastic foundation analysis", Finite Elem. Anal. Des., 28, 293-302 https://doi.org/10.1016/S0168-874X(97)00041-3
  6. Hsu, M.H. (2005), "Vibration analysis of edge-cracked beam on elastic foundation with axial loading using the differential quadrature method", Comput. Meth. Appl. Mech. Eng., 194(1), 1-17. https://doi.org/10.1016/j.cma.2003.08.011
  7. Iimura, S. (2004), "Simplified mechanical model for evaluating stress in pipeline subject to settlement", Construct. Build. Mater., 18(6), 469-479. https://doi.org/10.1016/j.conbuildmat.2004.01.002
  8. Kim, N.L. (2009), "Series solutions for spatially coupled buckling analysis of thin-walled Timoshenko curved beam on elastic foundation", Struct. Eng. Mech., 33(4), 447-484. https://doi.org/10.12989/sem.2009.33.4.447
  9. Long, Y.Q. (1981), Calculation of Elastic Foundation Beam. Beijing, peoplesí education press, China. (in Chinese)
  10. Ma, F. and Ai, Z.Y. (2002), "The finite element method of elastic subgrade beam with the contact friction effect considered", Rock Soil Mech., 23(1), 93-96. (in Chinese)
  11. Mallik, A.K., Chandra, S. and Singh, A.B. (2006), "Steady-state response of an elastically supported infinite beam to a moving load", J. Sound Vib., 291, 1148-1169. https://doi.org/10.1016/j.jsv.2005.07.031
  12. Onu, G. (2000), "Shear effect in beam finite element on two-parameter elastic foundation", J. Struct. Eng., 126(9), 1104-1107. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1104)
  13. Pasternak, P.L. (1954), "On a new method of analysis of an elastic foundation by means of two foundation constants", Gosudarstvennoe Izdatelstro Liberaturi po Stroitelsvui Arkhitekture, Moscow, Russia.
  14. Ruge, P. and Birk, C. (2007), "A comparison of infinite Timoshenko and Euler-Bernoulli beam models on Winkler foundation in the frequency- and time-domain", J. Sound Vib., 304, 932-947. https://doi.org/10.1016/j.jsv.2007.04.001
  15. Sato, M., Kanie, S. and Mikami, T. (2007), "Structural modeling of beams on elastic foundations with elasticity couplings", Mech. Res. Commun., 34(5-6), 451-459. https://doi.org/10.1016/j.mechrescom.2007.04.001
  16. Tan, Z.M. (1997), "The solution of elastic foundation beam considering horizontal frictional resistance", Mech. Eng. 19(3), 33-35. (in Chinese)
  17. Winkler, E. (1867), Die Lehre von der Elastizitat and Festigkeit (On elasticity and fixity), H. Dominicus, Prague, Czechoslovakia.
  18. Yin, J.H. (2000a), "Comparative modeling study of reinforced beam on elastic foundation", J. Geotech. Geoenviron. Eng., 126(3), 265-271. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:3(265)
  19. Yin, J.H. (2000b), "Closed-form solution for reinforced Timoshenko beam on elastic foundation", J. Eng. Mech., 126(8), 868-874. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:8(868)
  20. Zhang, L., Zhao, M.H., Zou, X.W. and Zhao, H. (2009), "Deformation analysis of geocell reinforcement using winkler model", Comput. Geotech., 36, 977-983. https://doi.org/10.1016/j.compgeo.2009.03.005
  21. Zhang, Y. and Murphy, K.D. (2004), "Response of a finite beam in contact with a tensionless foundation under symmetric and asymmetric loading", Int. J. Solids Struct., 41, 6745-6758. https://doi.org/10.1016/j.ijsolstr.2004.05.028
  22. Zhao, M.H., Ma, B.H. and Zhang, L. (2008a), "Fractional-step calculation method for geocell reinforced mat considering the effect of horizontal frictional resistance", Journal of Hunan University Natural Sciences, 35 (SUPPL.), 182-187. (in Chinese)
  23. Zhao M.H., Ma, B.H. and Zhang, L. (2009a), "Fractional-step calculation method for finite length elastic foundation beam considering the effect of horizontal frictional resistance", Eng. Mech., 26(9), 16-23. (in Chinese)
  24. Zhao, M.H., Zhang, L. and Ma, B.H. (2008b), "Force analysis of geocell reinforcement based on Winkler model", J. Hyd. Eng., 39(6), 697-702. (in Chinese)
  25. Zhao, M.H., Zhang, L., Ma, B.H. and Zhao, H. (2009b), "Nonlinear analysis of beams on elastic foundation with consideration of horizontal resistance", Chinese J. Geotech. Eng., 31(7), 985-990. (in Chinese)
  26. Zhao, M.H., Zhang, L., Ma, B.H. and Zhao, H. (2009c), "Nonlinear analysis of finite-length beams on Winkler foundation with horizontal resistance", China Civil Eng. J., 42(7), 106-112. (in Chinese)
  27. Zhou, J.K. and Du, Q.Q. (2004), "Modified Winkler foundation model with horizontal force taken into account", J. Hohai Univ., 32(6), 669-673. (in Chinese)

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  3. Design of boundary combined footings of trapezoidal form using a new model vol.56, pp.5, 2015, https://doi.org/10.12989/sem.2015.56.5.745
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