A handy closed-form expression for the transient response is obtained. It becomes feasible to calculate easily the response dominated by low wave number components. The analysis of an elastic layer to the transverse impact is based on the classical plate theory. Therefore, the use of the expression should be restricted, but very useful. When the spatial and temporal distribution of the impact load is prescribed by the Gaussian distribution function, the restriction may be given by the combination of characteristic spatial width δ and time duration τ of the applied impact load. To show a validity of the expression, a calculated waveform is shown and compared with the real one recorded in the experiment.
