A Novel Numerical Method for Theoretical Tire Model Simulation
Round 1
Reviewer 1 Report
Dear Authors,
I consider necessary a revision of the manuscript, especially of the following parts:
1)- Section "5.4.3. Deformation of Tread Element under Load Variations at a Constant Side Slip Angle" must be modified in "5.5.3. Deformation of Tread Element under Load Variations at a Constant Side Slip Angle"
2)-When referring to equations, you must use round brackets for writing the number of the equation. For example, instead of ",expression of equation 3,4" it is indicated to use ",expression of equation (3), (4)"
3)-Large equations (equations (9) and (10)), which exceed the width of the page, must be written on two lines;
4)-On page 8 you have the following reference: "u and v are obtained through subsection 1.1, c u and c v are obtained through subsection 1.2.". You have to check the text because you don't have, in the work, "subsection 1.1, and subsection 1.2";
5)- On page 10 you have the following reference: "The unsteady comparison results of different iterative methods are shown in table 2.". I think you meant to write "table 1".
6)-On page 11, refer to "The model parameters are listed in Table 2 and Figure 7-11 shows the comparison between the model and the test". I don't think it is presented in the manuscript, what the "test" consists of. Is there a procedure for the "test"? Also, the "experiment" is not explicitly presented.
7)-There is no explanatory text regarding most of the figures in the manuscript. If it is desired to increase comprehensibility, it is desirable to present explanations for each individual figure.
Author Response
Please see the attachment.
Author Response File: 
Author Response.pdf
Reviewer 2 Report
In this paper authors have investigated the numerical solution of the theoretical tire model. A discrete solution method for the total deformation of the tire is proposed which Based on the Euler method. The force and moment calculation matrix equations suitable for distinct iterative techniques are constructed. The results reveal that the Richardson iteration method has the best convergence stability in the steady and unsteady state calculation. The theoretical model is compared with the experiment and based on the condition of the unsteady characteristics of tire model only relating to the path frequency without changing its parameters, different discrete solution methods for the total deformation are compared. The authors must look carefully to the below points:
1. Authors are suggested to explain more about figures 1 and 2.
2. Authors are suggested to explain more about the Model description in section 3.
3. Authors are suggested to compare the obtained results with existing numerical methods and show in tabular form
4. Authors are suggested to provide existence and uniqueness of the solution.
5. Compare the obtained analytical results with other existing analytical techniques and also show the error.
6. The whole manuscript should be checked for typos and grammatical errors.
7. Clearly mention novelty of paper in abstract.
8. Authors are suggested to provide more information of recent research work in introduction part and make it stronger.
9. Authors are suggested to write conclusions sections more effectively.
10. A professional proof-reading is required for the whole manuscript.
11. The authors should explain the limitations of this work in the introduction section.
12. The authors should explain why the study is useful with a clear statement of novelty or originality by providing relevant information in the introduction and conclusion sections.
13. The author should add some more discussions on figures and numerical simulation in the conclusion and introduction section.
14. The authors should provide the future scope of the work in the conclusion section.
15. Some important works related with recent development in numerical methods and its applications should be discussed in the introduction part and be added in the references lists:
Analysis of fractional model of guava for biological pest control with memory effect, Journal of Advanced Research, 32 (2021), 99-108
After above revisions, I recommended this paper for publication in your journal.
Author Response
Please see the attachment.
Author Response File: Author Response.pdf
Round 2
Reviewer 1 Report
Dear Authors,
I am glad that you understood that it is to your advantage to follow certain rules. Thank you for the corrections made to the manuscript. You can clearly see the qualitative leap of the work through the introduction of the additional text, marked in the manuscript. At least, the text related to the test, experiment and the explanatory text added to the figures, raised the level of comprehensibility of the manuscript. I congratulate you on the results. Continue the research work, as you proposed.
