Method of Dynamic Modeling and Robust Optimization for Chain Transmission Mechanism with Time-Varying Load Uncertainty
Round 1
Reviewer 1 Report
Comments and Suggestions for AuthorsIn the paper ,,Method of Dynamics Modeling and Robust Optimization for Chain Transmission Mechanism with Time-Varying Load Uncertainty,, the authors approached an optimization design model for the chain transmission process with objectives as transmission accuracy and consistency. This provides a theoretical foundation for the design of chain transmission mechanisms under time-varying load uncertainties and for improving the accuracy of other complex mechanisms.
Comments:
1.Nomenclature for variables will facilitate understanding.
2.Equations (5), (6), (8), (9), (10), (12)……: after each relation follows ,,.,, It is not left without a spelling mark.
3.Lines 226, 315, 317…: the notations must all be the same, not some bolded and some not.
4.Figure 9 explain why this high frequency oscillation occurs.
5. In conclusions add a last paragraph of future work.
6.,,Compared to the initial design, the variance of the transported object is reduced by 63.14%.,, Comment on this obtained value. Is it satisfactory?
Author Response
Comments:
1.Nomenclature for variables will facilitate understanding.
Response: We greatly appreciate the reviewer’s comments. We have added a nomenclature in the text.
2.Equations (5), (6), (8), (9), (10), (12)……: after each relation follows ,,.,, It is not left without a spelling mark.
Response: We greatly appreciate the reviewer’s comments. The notations in equations (5), (6), (8), (9), (10) and (12) have already appeared in the previous text and have been spelled, therefore, these equations are not marked again afterwards.
3.Lines 226, 315, 317…: the notations must all be the same, not some bolded and some not.
Response: We greatly appreciate the reviewer’s comments. In this paper, bolds denote vectors. We have carefully reviewed and revised the notations throughout the entire text.
4.Figure 9 explain why this high frequency oscillation occurs.
Response: We greatly appreciate the reviewer’s comments. Due to the frequent contact collisions occurring during the movement of the chain transmission mechanisms, feedback to the control system can induce high-frequency oscillations in the actual output current. Since torque is derived from the current, these oscillations also affect the torque, resulting in high-frequency fluctuations.
- In conclusions add a last paragraph of future work.
Response: We greatly appreciate the reviewer’s comments. We have added a last paragraph of future work in conclusions, as follows: “In future work, the method proposed in this paper can be extended to the design process of other chain transmission mechanisms to improve motion robustness. Furthermore, to enhance the service reliability of chain transmission mechanisms, further research can focus on time-varying robust optimization design based on reliability. This will better promote the application and development of chain transmission systems in complex environments, providing stronger theoretical support and technical assurance for the engineering design of chain transmission mechanisms.”
- Compared to the initial design, the variance of the transported object is reduced by 63.14%. Comment on this obtained value. Is it satisfactory?
Response: We greatly appreciate the reviewer’s comments. For the engineering example in this paper, through robust optimization using the proposed method, the mean square error was reduced by 63.14%, which is a satisfactory result for the engineering design in this example.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
Comments and Suggestions for AuthorsThe paper deals with a dynamic model of chain transmission mechanism and a KL-PCE optimization method to handle time-varying load uncertainties.
English writing is more or less fine, although I suggest a thorough revision to polish some sentences.
Literature review is comprehensive and well presents the research problem and the SotA.
The presentation of the theory and case study is interesting and relevant. I must admit that I am not very expert in this topic, so I cannot check the equations. I suggest the editor to rely on the recommendations of a more experienced reviewer on the content.
In my humble opinion, the paper is relevant and worthy of publication, after a little polishing.
English writing is more or less fine, although I suggest a thorough revision to polish some sentences.
Author Response
English writing is more or less fine, although I suggest a thorough revision to polish some sentences.
Response: We greatly appreciate the reviewer’s comments. We have polished the article by professional software.
Author Response File: Author Response.pdf
Reviewer 3 Report
Comments and Suggestions for AuthorsThe proposed paper on the modeling of a chain transmission mechanism is interesting and considering the applied time varying load, it links several current fields of research.
The paper is well developed, the state of the art is correct as well as the results.
However, the following points need to be imrpoved.
- The block diagram in Figure 2 that represents the chain transmission mechanism in Figure 2 needs to be explained in sufficient detail.
- Figure 7 should be bigger.
- Be careful after equation (8) phi_q denotes the derivative of phi(q,t) is this correct?
- It is necessary to apply equation (8) on page 9 to the chain transmission mechanism.
- The dynamic equation of the system is missing.
- Correct the numbering of the equations, equation (8) is in two different expressions
Author Response
- The block diagram in Figure 2 that represents the chain transmission mechanism in Figure 2 needs to be explained in sufficient detail.
Response: We greatly appreciate the reviewer’s comments. We have explained Figure 2 in sufficient detail, as follows: “The sprocket is installed on the box with rotating pair, and there is a contact relationship between the sprocket and the roller. The roller is connected to the chain link through a rotating pair. The first chain link is a pushing plate, which contacts the conveyed object and pushes it forward. The track is fixed on the box and contacts the roller to constrain its movement.”
- Figure 7 should be bigger.
Response: We greatly appreciate the reviewer’s comments. Figure 7 has been appropriately enlarged.
- Be careful after equation (8) phi_q denotes the derivative of phi(q,t) is this correct?
Response: We greatly appreciate the reviewer’s comments. In our previous work, we conducted a detailed derivation of the dynamic modeling process (reference 31), which phi(q,t) is the constraint function of the chain transmission mechanism with respect to q and t. In order to distinguish the derivative of t, therefore, phi_q denotes the derivative of phi(q,t) with respect to q. After inspection, it is correct. (see Appendix)
- It is necessary to apply equation (8) on page 9 to the chain transmission mechanism.
Response: We greatly appreciate the reviewer’s comments. According to previous research, equation (8) (renumbered as (21) in the paper) is a general expression for dynamic modeling. In this study, the equation has been applied to chain transmission mechanisms. (See Appendix for the dynamic modeling process)
- The dynamic equation of the system is missing.
Response: We greatly appreciate the reviewer’s comments. In this article, equation (21) is the dynamic equation of the chain drive mechanism. As the process of dynamic modeling has been derived in detail in previous work, it will not be repeated in this article. (See Appendix)
- Correct the numbering of the equations, equation (8) is in two different expressions
Response: We greatly appreciate the reviewer’s comments. We have reviewed and revised the numbering of the equations.
Author Response File: Author Response.pdf
Reviewer 4 Report
Comments and Suggestions for AuthorsAttached file
Comments for author File: Comments.pdf
Author Response
Thank you for the expert's opinion. Our specific response is detailed in the attachment
Author Response File: Author Response.pdf
Round 2
Reviewer 3 Report
Comments and Suggestions for AuthorsThe authors have corrected the paper with the observations indicated in the previous version.
However, the appendix that is sent in the revisions is not included in the paper and must be included for this part of the paper to be well justified.
Author Response
The authors have corrected the paper with the observations indicated in the previous version.
However, the appendix that is sent in the revisions is not included in the paper and must be included for this part of the paper to be well justified.
Response: We greatly appreciate the reviewer’s comments. We have included the appendix in the article.
Reviewer 4 Report
Comments and Suggestions for AuthorsThis reviewer thanks the authors for addressing most of the questions and suggestions and congratulates them on the review. The article has improved considerably.
