An analytical method along with the experimental verification have been utilized to investigate the vibrational behaviour of a cracked beam with a moving mass. The local stiffness matrix is taken into account when analysing the cracked beam. The Runge—Kutta method has been used to solve the differential equations involved in analysing the dynamic deflection of a cantilever beam.
JeffcottH. H.On the vibration of beams under the action of moving loads. Phil. Mag., 1929, 7(8), 66.
2.
FlorenceA. L.Travelling force on a Timoshenko beam. Trans. ASME, J. Appl. Mechanics, 1965, 32, Ser. E (2), 351–358.
3.
SteeleC. R.The finite beam with a moving load. Trans. ASME, J. Appl. Mechanics, 1967, 34, Ser. E (1), 111–118.
4.
KenneyJ. T.Steady-state vibration of a beam on elastic foundation for moving load. Trans. ASME, J. Appl. Mechanics, 1954, 21(4), 359–364.
5.
SmithC. E.Motion of a stretched string carrying a moving mass particle. Trans. ASME, J. Appl. Mechanics, 1964, 31, Ser. E(1), 29–37.
6.
SaigalS.Dynamic behavior of beam structures carrying moving masses. Trans. ASME, J. Appl. Mechanics, 1986, 53(1), 222–224.
7.
StanisicM. M.EulerJ. A.MontgomeryS. T.On a theory concerning the dynamic behavior of structures carrying moving mass. Ing. Arch., 1974, 43, 295–305.
8.
AkinJ. E.MofidM.Numerical solution for response of beam with moving mass. ASCE J. Struct. Engng, 1989, 115(1), 121–131.
9.
ParhiD. R.BeheraA. K.BeheraR. K.Dynamic characteristic of cantilever beam with transverse crack. J. Aeronaut. Soc. India, 1995, 47(3), 131–144.
10.
PapadopoulosC. A.DimarogonasA. D.Coupled longitudinal and bending vibrations of a cracked shaft. Trans. ASME, J. Vibr., Acoust., Stress, and Reliability in Des., 1988, 110(1), 1–8.
11.
ThomsonW. T.Theory of Vibration with Application, 3rd edition, 1988 (Prentice-Hall, London).
12.
TadaH.ParisP. C.IrwinG. R.The Stress Analysis of Cracks Handbook, 1973 (Del Research Corp., Hellertown, Pennsylvania).
