References
- Abohadima, S. and Taha, M.H. (2009), "Dynamic analysis of nonuniform beams on elastic foundations", Open Appl. Math. J., 3, 40-44. https://doi.org/10.2174/1874114200903010040
- Akour, S.N. (2010), "Dynamics of nonlinear beam on elastic foundation", Proceedings of the World Congress on Engineering, Vol. II.
- Amiri, S.N. and Onyango, M. (2010), "Simply supported beam response on elastic foundation carrying repeated rolling concentrated loads", J. Eng. Sci. Tech., 5(1), 52-66.
- Coskun, S.B., O zturk, B. and Mutman, U. (2014), "Adomian decomposition method for vibration of nonuniform euler beams on elastic foundation", Proceedings of the 9th International Conference on Structural Dynamics, Eurodyn.
- Ferreira, A.J.M., Roque, C.M.C., Neves, A.M.A., Jorge, R.M.N. and Soares C.M.M. (2010), "Analysis of plates on Pasternak foundations by radial basis Functions", Comput. Mech., 46, 791-803. https://doi.org/10.1007/s00466-010-0518-9
- Ghafoori, E., Kargarnovin, M.H. and Ghahremani, A.R. (2010), "Dynamic responses of a rectangular plate under motion of an oscillator using a semi-analytical method", J. Vib. Control, 17(9), 1310-1324. https://doi.org/10.1177/1077546309358957
- Hsu, M.H. (2009), "Vibration analysis of non-uniform beams resting on elastic foundations using the spline collocation method", Tamkang J. Sci. Eng., 12(2), 113-122.
- Janco, R. (2010), "Solution methods for beam and frames on elastic foundation using the finite element method", International Scientific Conference Mechanical Structures and Foundation Engineering 2010: - Technical University of Ostrava, Faculty of Mechanical Engineering, Department of Mechanics of Materials, Ostrava, Czech Republic.
- Jang, T.S. (2013), "A new semi-analytical approach to large deflections of Bernoulli-Euler-V. Karman beams on a linear elastic foundation: Nonlinear analysis of infinite beams", Int. J. Mech. Sci., 66, 22-32. https://doi.org/10.1016/j.ijmecsci.2012.10.005
- Kim, J.S. and Kim, M.K. (2012), "The dynamic response of an Euler-Bernoulli beam on an elastic foundation by finite element analysis using the exact stiffness matrix", Modern Practice in Stress and Vibration Analysis, Journal of Physics: Conference Series, 382(1), IOP Publishing.
- Kim, S.M. and Cho, Y.H. (2006), "Vibration and dynamic buckling of shear beam-columns on elastic foundation under moving harmonic loads", Int. J. Solid. Struct., 43, 393-412. https://doi.org/10.1016/j.ijsolstr.2005.06.025
- Mohanty, S.C., Dash, R.R. and Rout, T. (2011), "Parametric instability of a functionally graded Timoshenko beam on Winkler's elastic foundation", Nucl. Eng. Des., 241, 2698-2715. https://doi.org/10.1016/j.nucengdes.2011.05.040
- Mohebpour, S.R., Malekzadeh, P. and Ahmadzadeh, A.A. (2011), "Dynamic analysis of laminated composite plates subjected to a moving oscillator by FEM", Compos. Struct., 93, 1574-1583. https://doi.org/10.1016/j.compstruct.2011.01.003
- Omurtag, M.H., Ozutok, A. and Akoz, A.Y. (1997), "Free vibration analysis of Kirchhoff plates resting on elastic foundation by mixed finite element formulation based on Gateaux differential", Int. J. Numer. Meth. Eng., 40, 295-317. https://doi.org/10.1002/(SICI)1097-0207(19970130)40:2<295::AID-NME66>3.0.CO;2-2
- Ozgan, K. (2012), "Dynamic analysis of thick plates including deep beams on elastic foundations using modified Vlasov model", Shock Vib., 19, 29-41.
- Ozgan, K. and Daloglu, A.T. (2009), "Application of the modified Vlasov model to the free vibration analysis of thick plates resting on elastic foundation", Shock Vib., 16, 439-454. https://doi.org/10.1155/2009/780268
- Ozgan, K. and Daloglu, A.T. (2012), "Free vibration analysis of thick plates an elastic foundations using modified Vlasov model with higher order finite elements", Indian J. Eng. Mater. Sci., 19, 277-291.
- Phung-Van, P., Luong-Van, H., Nguyen-Thoi, T. and Nguyen-Xuan, H. (2014), "A cell-based smoothed discrete shear gap method (CS-FEM-DSG3) based on the C0-type higher-order shear deformation theory for dynamic responses of Mindlin plates on viscoelastic foundations subjected to a moving sprung vehicle", Int. J. Numer. Meth. Eng., 98(13), 988-1014. https://doi.org/10.1002/nme.4662
- Teodoru, I.B. (2009), "Beams on elastic foundation the simplified continuum approach", Buletinul Institutului Politehnic din lasi. Sectia Constructii, Arhitectura, 55(4), 37-45.
- Teodoru, I.B. and Musat, V. (2010), "The modified Vlasov foundation model: an attractive approach for beams resting on elastic supports", EJCE, 15, 1-13.
- Wang, L., Ma, J., Peng, J. and Li, L. (2013), "Large amplitude vibration and parametric instability of inextensional beams on the elastic foundation", Int. J. Mech. Sci., 67, 1-9. https://doi.org/10.1016/j.ijmecsci.2012.12.002
- Wang, Y., Wang, Y., Zhang, B. and Shepard, S. (2011), "Transient responses of beam with elastic foundation supports under moving wave load excitation", Int. J. Eng. Tech., 1(2), 137-143.
- Xiang, Y., Wang, C.M. and Kitipornchai. S. (1994), "Exact vibration solution for initially stressed Mindlin plates on Pasternak foundation", Int. J. Mech. Sci., 36, 311-316. https://doi.org/10.1016/0020-7403(94)90037-X
- Zhou, D., Cheung, Y.K., Lo, S.H. and Au, F.T.K. (2004), "Three-dimensional vibration analysis of rectangular thick plates on Pasternak foundation", Int. J. Numer. Meth. Eng., 59, 1313-1334. https://doi.org/10.1002/nme.915
Cited by
- Experiments on influence of foundation mass on dynamic characteristic of structures vol.65, pp.5, 2018, https://doi.org/10.12989/sem.2018.65.5.505
- A Nonlinear Dynamic Foundation Model for Dynamic Response of Track-Train Interaction vol.2020, pp.None, 2016, https://doi.org/10.1155/2020/5347082
- Effects of foundation mass on dynamic responses of beams subjected to moving oscillators vol.22, pp.2, 2020, https://doi.org/10.21595/jve.2019.20729