Time-Dependent Motion of a Floating Circular Elastic Plate

Round 1

Reviewer 1 Report

The paper is well written and address the topic consistently. It provides clear proof of easy solutions to a well known problem such as the motion of finite plate. In particular, the complex motion of the plate under the action of wave packets is suitably represented. The additional material (videos) clearly provide further evidence of the quality of the results. I definitely recommend the paper for publication without further changes.

Author Response

I thank the reviewer for their comments. 

Reviewer 2 Report

The comments of the reviewer are included in the attached file. 

Comments for author File: Comments.pdf

Author Response

In response to (C1) we have added the following to the end of the introduction.

We acknowledge that much of the material presented here has appeared in various previous works. In particular, the eigenfunction matching for a circular plate which underlies the calculations presented here. However, the present work aims to show how the time-domain solution can be found straightforwardly from the frequency domain solution. In some sense, the floating elastic plate is just a beautiful example to illustrate this method. We have given sufficient details of the solution method to understand the code that accompanies the paper. We also note that the code which accompanies this work is an essential part of it, and this has not been made available previously.

In response to (C2) we added

In particular, the transition from the wave diffracting around the plate to the wave travelling under the plate as the stiffness transitions from high to low is visible. Moreover, we have an intermediate region where there are resonances, and the plate motion becomes highly complicated. The ability to visualise this motion offers insights which are not so easily obtained from the frequency domain solution.

Minor changes (C3) have all been made.