Damage Identification of Plate Structures Based on a Non-Convex Approximate Robust Principal Component Analysis

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

The study is unclear and presented carelessly. An extensive revision phase is important.

• First, reduce the mathematical formulation to include only what is strictly necessary and original. Most of it is unnecessary and can be referenced.
• The quality of the figures is unacceptable; the flowchart is illegible. All images are blurred. Please improve everything.
• The authors refer to an experiment, but it appears to be a simulated experiment. Create an initial test matrix and then clearly indicate which is the damage indicator.
• Make an initial list of symbols and notations.
• Improve the reference list:
  • Aloisio, A., Di Battista, L., Alaggio, R., & Fragiacomo, M. (2020). Sensitivity analysis of subspace-based damage indicators under changes in ambient excitation covariance, severity and location of damage. Engineering Structures, 208, 110235.
  • Lan, Z., Saito, O., Yu, F., & Okabe, Y. (2024). Impact damage detection in woven CFRP laminates based on a local defect resonance technique with laser ultrasonics. Mechanical Systems and Signal Processing, 207, 110929.

 

Author Response

Comments 1:reduce the mathematical formulation to include only what is strictly necessary and original.

Response: I agree with this comment. Therefore, I have reduced the number of relevant and unnecessary formulas in the paper.

Comments 2: The quality of the figures is unacceptable; the flowchart is illegible. All images are blurred. Please improve everything.

Response 2: I agree with this comment. Therefore, I have reworked the relevant images in the paper.

Comments 3: The authors refer to an experiment, but it appears to be a simulated experiment. Create an initial test matrix and then clearly indicate which is the damage indicator.

Response 2: I agree with this comment. Therefore, I have added a section on the analysis results obtained using real experimental data in Chapter 5.

Author Response File: Author Response.docx

Reviewer 2 Report

Comments and Suggestions for Authors

The manuscript introduces a robust method for damage detection in plate structures using a non-convex RPCA algorithm. The study presents both theoretical and experimental analysis. The study is well executed, however, the organization/presentation requires significant improvements. I have the following comments:

1- In the background of the study, provide provide a more detailed explanation of why lamb waves are particularly suited for SHM. Also, please add include relevant equations and theoretical concepts of lamb wave propagation.

2- How different levels and types of noise affect the algorithm's performance? please elaborate

3- Include error analysis section that quantifies the types and sources of errors and how these errors were or could be mitigated and their impact on the results.

4- In general, Figure resolutions are poor, some of them are even hard to read and extract information.

 

Author Response

Comments 1: please add include relevant equations and theoretical concepts of lamb wave propagation.

Response 1: I agree with this comment. Therefore, I have enriched Chapter 2 with Lamb waves.

Comments 2: How different levels and types of noise affect the algorithm's performance? please elaborate.

Response 2: In the optimization of the parameters of the algorithm, we take into account the effect of noise, different noise, and the size of the noise, only in the denoising for the value of the parameter a will have an impact on the decomposition of the non-convex approximation RPCA algorithm results do not have a large impact on the results of the decomposition of the algorithm, are successful decomposition.

Comments 3: Figure resolutions are poor, some of them are even hard to read and extract information.

Response 3: I agree with this comment. Therefore, I have modified the relevant images in the paper.

 

Author Response File: Author Response.docx

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

The paper can be now considered for publication.

Suggested references:

Aloisio, A., Totani, F., Alaggio, R., & Totani, G. (2021). Dispersion curves of transverse waves propagating in multi-layered soils from experimental tests in a 100 m deep borehole. Geosciences, 11(5), 207. Zitouni, I., Rhimini, H., & Chouaf, A. (2024). A combined Newton–bisection approach for calculating the dispersion curves in anisotropic multilayered waveguides. Journal of Vibration Engineering & Technologies, 12(3), 5189-5201.

 

Reviewer 2 Report

Comments and Suggestions for Authors

Authors have successfully addressed all concerns