ESTIMATION OF VIBRATION DISTRIBUTION FOR FINITE STRUCTURES

The distribution of vibration over finite structures excited by a force is considered. To describe the vibration distribution, a quantity, called motion transmissibility, is introduced which is defined as the ratio of the velocity of the structure at an arbitrary point to that at the excitation location. This quantity can be of substantial assistance to achieve reduction in the modelling of built-up structures. It is found that for rods, beams and shells, the motion transmissibility can be estimated by using the corresponding semi-infinite structure. For plates, the motion transmissibility can be estimated by considering the corresponding quarter-infinite structure.