[1] Stokes GG (1849) Discussion of a differential equation relating to the breaking of railway bridges. Transactions of the Cambridge Philosophical Society 8: 707-735. Reprinted in Mathematical and Physical Papers (1883) 2: 178-220.
[2] Zarbaf S, Shojaee T, Madoliat R (1394) Solving the inverse problem of identification of FE model parameters of a non-uniform beam using genetic algorithms. Journal of Solid and Fluid Mechanics 5(1): 39-48, (In Persian).
[3] Willis R (1949) Report of the commissioners appointed to inquire into the application of iron to railway structures. London, Stationary Office.
[4] Darzi-Naftchali R, Mosayebi-Dorcheh S (1392) Application of differential transform method to determine natural frequencies of variable width Euler-Bernoulli beam with various support conditions. Journal of Solid and Fluid Mechanics 3(2): 41-50, (In Persian).
[5] Fryba L (1999) Vibration of Solids and Structures under Moving Loads. 3ed edn, Groningen, Thomas Telford, Czech Republic.
[6] Siddiqui SAQ, Golnaraghi MF, Heppler GR (2000) Dynamics of a flexible beam carrying a moving mass using perturbation, numerical and time-frequency analysis techniques. J Sound Vib 229: 1023-1055.
[7] Hayashikava T, Watanabe N (1981) Dynamic behaviour of continuous beams with moving loads. J Eng Mech Div-ASCE 107: 229-246.
[8] Stanisic MM (1985) On a new theory of the dynamical behavior of structures carrying moving masses. Inginieur-Archiv 55: 176-185.
[9] Khalily F, Golnaraghi MF, Heppler GR (1994) On the dynamic behaviour of a flexible beam carrying a moving mass. Nonlinear Dynam 5: 493-513.
[10] Siddiqui SAQ, Golnaraghi MF, Heppler GR (1998) Dynamics of a flexible cantilever beam carrying a moving mass. Nonlinear Dynam 15: 137-154.
[11] Yang YB, Liao SS, Lin BH (1995) Impact formulas for vehicles moving over simple and continuous beams. J Struct Eng-ASCE 121: 1644-1650.
[12] Lee HP (1996) Dynamic response of a beam on multiple supports with a moving mass. Struct Eng Mech 4(3): 303-312.
[13] Ichikawa M, Miyakawa Y, Matsuda A (2000) Vibration analysis of the continuous beam subjected to a moving mass. J Sound Vib 230: 493-506.
[14] Cifuentes AO (1989) Dynamic response of a beam excited by a moving mass. Finite Elem Anal Des 5: 237-246.
[15] Lin YH, Tretheway MW (1990) Finite element analysis of elastic beams subjected to moving dynamic loads. J Sound Vib 136: 323-342.
[16] Sharbati E, Szyszkowski W (2011) A new FEM approach for analysis of beams with relative movements of masses. Finite Elem Anal Des 47: 1047-1057.
[17] Eftekhar Azam S, Mofid M, Afghani Khoraskani R (2013) Dynamic response of Timoshenko beam under moving mass. Scientia Iranica, Transactions A: Civil Engineering 20: 50-56.
[18] Esmailzadeh E, Ghorashi M (1995) Vibration analysis of beams traversed by uniform partially distributed moving masses. J Sound Vib 184: 9-17.
[19] Lin YH (1997) Letter to the Editor: Comments on vibration analysis of beams traversed by uniform partially distributed moving masses. J Sound Vib 199: 697-700.
[20] Esmailzadeh E, Ghorashi M (1997) Vibration analysis of Timoshenko beam subjected to a traveling mass. J Sound Vib 199: 615-628.
[21] Oguamana DCD, Hansen JS, Heppler GR (1998) Dynamic response of an overhead crane system. J Sound Vib 213: 889-906.
[22] Mamandi A, Kargarnovin MH, Farsi S (2010) An investigation on effects of traveling mass with variable velocity on nonlinear dynamic response of an inclined Timoshenko beam with different boundary conditions. Int J Mech Sci 52:1694-1708.
[23] Oniszczuk Z (2003) Forced transverse vibrations of an elastically connected complex simply supported double-beam system. J Sound Vib 264: 273-286.
[24] Vu HV, Ordonez AM, Karnopp BH (2000) Vibration of a double-beam system. J Sound Vib 229: 807-822.
[25] Abu-Hilal M (2006) Dynamic response of a double Euler-Bernoulli beam due to a moving constant load. J Sound Vib 297: 477-491.
[26] Ariaei A, Ziaei-Rad S, Ghayour M (2010) Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving load. Arch Appl Mech 81: 263-281.
[27] Bilello C, Bergman LA (2004) Vibration of damaged beams under a moving mass: theory and experimental validation. J Sound Vib 274: 567-582.
[28] Mahmoud MA, Zaid MA (2002) Dynamic response of a beam with a crack subject to a moving mass. J Sound Vib 256: 591-603.
[29] Dadfarnia M, Jalili N, Esmailzadeh E (2005) A comparative study of the Galerkin approximation utilized in the Timoshenko beam theory. J Sound Vib 280: 1132-1142.
[30] Ariaei A, Ziaei-Rad S, Malekzadeh M (2013) Dynamic response of a multi-span Timoshenko beam with internal and external flexible constraints subject to a moving mass. Arch Appl Mech 83: 1257-1272.
[31] Fryba L (2001) A rough assessment of railway bridges for high speed trains. Eng Struct 23(5): 548-556.
)