3A25 Vibro-acoustic behaviour of a non-uniform beam traversed by a moving point load(The 12th International Conference on Motion and Vibration Control)

Abstract

Mbro-acoustic behaviour of a non-uniform beam of $inusoidally varying height, traversed by a single point load, is investigated in this paper. A method to reduce the vibration responses and sound power radiation by a uniform beam by modifying it into a non-uniform one having the fimdarnenta1 mode shape of a uniform beam, without adding ar removing any mass, is presented for the fust time. The significance of this type of non-uniform beam is that, it has the same shape as the first mode of a simply supported uniform beam which contributes predominantly to the vibration response due to moving load excitation. Since a closed form solution is net possible in this case, finite element method is used to forrnulate the equations of motion of the . beam in matrix form. Ihe forced response of the beam is calculated numerically using central difference methed with appropriate time steps. The vibration responses are compared with that of a uniform beam having the same mass and material properties, The sound power radiated by the beam is calculated using Rayleigh integral with the assumption that it is vibrating in an infinite baMe. Nlelocity responses obtained from finite element method are used to determine the sound power radiated by the bearn. Radiated sound power, for different speeds ofthe moving load, is calculated and compared wnh that of a uniform beam. Ihe paper aims at predicting the influence of geometry on the vibration and sound radiation characteristics of a simply supported beam subjected to a single moving concentrated load. The results show that by changing the shape ofa uniform beam to a sinusoidal one, the vibration response and sound power radiation can be considerably reduced. This, being a numerical method, can predict the vibro-acoustic response of any non-uniform beam to moving load exeitation,The present analysis, though 1imited to a single moving Ioad, can be extended to a series of loads and thus the vibration and acoustic responses ofa bridge due to passage oftrains can be predicted. 1(el,worcts : Moving load, Nonuniform bearn, Vibroacoustics, Sound radiation, Railway bridge, Dynamic response, Finite element method, infrasound