Investigations on the Complex Band Diagram of Flexural Wave through the Fluid-Loaded Phononic Plate

Round 1

Reviewer 1 Report

Reviewer’s Comments:

The manuscript “Investigations on the complex band diagram of flexural wave through the fluid-loaded phononic plate” is very interesting work. This paper investigates the complex band diagram of flexural waves in the phononic plate with semi-infinite heavy fluid loading. The system under examination is a square plate lattice with two-dimensional periodicity immersed in a fluid domain within finite height. However, the following issues should be carefully treated before publication.

1. In abstract, the author should add more scientific findings.

2. Keywords: the synthesized system is missing in the keywords. So, modify the keywords.

3. In the introduction part, the introduction part is not well organized and cited references should cite recently published articles.  

4. Introduction part is not impressive and systematic. In the introduction part, the authors should elaborate the scientific issues in the battery research.

5. Vibration Transmittance of Finite Structures…, The author should provide reason about this statement “We adopt the finite element method to calculate the transverse vibration transmittance of such finite structure.”.

6. The authors should explain regarding the recent literature why “The sound absorbing condition is replaced by a rigid wall condition when the general finite element method is applied”.

7. Wave Attenuation Based on k(ω) Formulations. The author should explain the latest literature “Thus if the elastic modulus ratio is turned within a range 395
from 0.00135 to 0.0028, the mechanisms for generating the directional band gaps of the 396
fluid-loaded plate wouldn't be consistent with the case of the bare phononic plate”.

8. The author should provide reason about this statement, “It is worth noted the complete band gap is generated by the local resonance around 360 Hz and thus comparable attenuation degree of flexural waves can be observed from all directions in Figure 8a. Notably, the magnitude varies slightly with respect to changing q”.

9. Comparison of the present results with other similar findings in the literature should be discussed in more detail. This is necessary in order to place this work together with other work in the field and to give more credibility to the present results.

10. The conclusion part is very week. Improve by adding the results of your studies.

 

 

 

Author Response

Please see the attachement.

Author Response File: Author Response.docx

Reviewer 2 Report

The manuscript is well organized and enough to be accepted without further consideration. It's a great honor to do a review for this kind of an imporant and interesting work.

Author Response

Thanks for the reviewer's careful review.

Reviewer 3 Report

This study investigates the frequency band gaps of flexural waves for a plate-fluid interaction problem. The results are compared to a plate-only case i.e., without any fluid interaction. The overall procedure follows a reasonable strategy, however, prior to considering this article for publication, the following comments shall be addressed:

 

General Comments

1- Please specify the contribution of your study with respect to previous investigations.

2- Please also elaborate more on the practical application of your study.

3- It seems that a big portion of the derivations is taken from elsewhere. Please cite the original studies whenever needed.

4- Please explain how the unit cell is sized. Specifically, how the boundaries are determined based on the irreducible Brillouin zone.

Minor Comments:

5- Are there any more recent versions of Eq. (1) to model the FSI? If so, please use (Eq. 1 dates back to the 90s).

6- Line 179, please consider using “can” instead of “is able to”.

7- Line 185, please explain the LX (Gamma X) direction. This notation is also used multiple times in the manuscript without being well described.

8- Line 214, please use T in the superscript font (for the transpose).

9- In Eq. 18, the bold capital Gamma letter is not introduced. What does it refer to? The same comment holds for line 228.

10- Line 267, how is the frequency normalized? Besides, the symbol used for this normalized frequency is already used in line 198 for the inner domain. Please use different symbols for different parameters.

11- Please clarify the physical meaning of the symbols used in Figure 2(b).

12- Please see comment number 7 for lines 301, 321, and 352.

13- Please explain why the x-axis in figure 3 starts with Gamma and also ends with Gamma (it might be such to cover the entire boundary but please explain it).

14- Regarding the discussion provided in lines 310 to 314, have the authors performed any further analysis in this regard? Please provide your thoughts with more details.

15- Specify the reference from which Eq. 26 is taken. The same comment holds for Eq. (27) and (28).

16- Line 353, please elaborate a bit on how the FEM was used to manage imaginary data analysis. FEM is mainly used for real computations.

17- Line 388, is “pseudo-bap” correct?

18- The sentence in lines 463 to 466 is so long and hard to follow. Please consider rephrasing that.

Author Response

Please see the attachment.

Author Response File: Author Response.docx

Round 2

Reviewer 3 Report

No more comments.