An axisymmetric floating plate of infinite extent is subjected to prescribed dynamics under the action of a point load. The problem of inverting the forcing is studied mathematically with a view to classifying its properties within the framework of integral equations. In the process, the floating plate problem is shown to be moderately ill-posed and the rate of change of the forcing is shown to initially be directly proportional to the acceleration of the plate. This latter result is incorporated into the numerical study that follows. Throughout the paper, a model problem is used as an analytical and numerical benchmark.
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