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 moti on transmissibility, is introduced which is defined as the ratio of the vel ocity of the structure at an arbitrary point to that at the excitation loca tion. This quantity can be of substantial assistance to achieve reduction i n the modelling of built-up structures. It is found that for rods, beams an d shells, the motion transmissibility can be estimated by using the corresp onding semi-infinite structure. For plates, the motion transmissibility can be estimated by considering the corresponding quarter-infinite structure. (C) 2000 Academic Press.