References
- 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)
- 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)
- 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
- 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
- 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
- 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
- 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
- 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
- Long, Y.Q. (1981), Calculation of Elastic Foundation Beam. Beijing, peoplesí education press, China. (in Chinese)
- 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)
- 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
- 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)
- 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.
- 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
- 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
- Tan, Z.M. (1997), "The solution of elastic foundation beam considering horizontal frictional resistance", Mech. Eng. 19(3), 33-35. (in Chinese)
- Winkler, E. (1867), Die Lehre von der Elastizitat and Festigkeit (On elasticity and fixity), H. Dominicus, Prague, Czechoslovakia.
- 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)
- 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)
- 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
- 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
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
Cited by
- Buckling and vibration of laminated composite circular plate on winkler-type foundation vol.17, pp.1, 2014, https://doi.org/10.12989/scs.2014.17.1.001
- A novel two-dimensional approach to modelling functionally graded beams resting on a soil medium vol.51, pp.5, 2014, https://doi.org/10.12989/sem.2014.51.5.727
- 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
- A comparative study for design of boundary combined footings of trapezoidal and rectangular forms using new models vol.6, pp.4, 2017, https://doi.org/10.12989/csm.2017.6.4.417