Numerical Analysis of Deformation Characteristics of Elastic Inhomogeneous Rotational Shells at Arbitrary Displacements and Rotation Angles
Round 1
Reviewer 1 Report
This paper developed the numerical finite difference model to describe the mechanical behavior of the elastic inhomogeneous isotropic shells under large rotational deformation. The nonlinear boundary is solved by the ascertainment method in quasi-dynamic form with an explicit two-layer time-difference scheme. This paper may considered as accepted under major revisions as follows.
1. Line 61, the angle notation is missing.
2. How’s the accuracy of this mathematical model in describing the large deformation?
3. Some references are included as 3;4 or 3-4 in your manuscript, please consider making it consistent
Author Response
Comment 1: Line 61, the angle notation is missing.
Answer 1: The angle notation was added.
Comment 2: How’s the accuracy of this mathematical model in describing the large deformation?
Answer 2: Since the paper considers elastic shells for arbitrary displacements and angles of rotation of the normal, the accuracy of the developed mathematical model in describing large deformations was not evaluated.
Comment 3: Some references are included as 3;4 or 3-4 in your manuscript, please consider making it consistent.
Answer 3: References were revised and corrected.
Reviewer 2 Report
Adequate mathematical models and computational algorithms are developed in this study to investigate specific features of the deformation processes of elastic rotational shells at large displacements and arbitrary rotation angles of the normal line. A finite difference method (FDM) is used to discretise the original continuum problem in spatial variables, replacing the differential operators by a second order finite difference approximation. The computation and results are general right, and it deserves publication. The English should be improved all over the paper.
Author Response
Comment 1: The English should be improved all over the paper.
Answer 1: The English was improved all over the paper.
Reviewer 3 Report
I suggest major revision for this paper and here are my comments to the authors:
1-The 'Introduction' section should not contain any figures and formula. Please move them to the 'materials and methods' section.
2-Which Software did the authors use to obtain Figure 6? Please add the name of the Software in the revision.
3-There are some grammatical issues in the manuscript file. The authors need to edit the file from a grammar point of view greatly.
4-The resolution of Figure 6 should be increased.
5-What are the applications of the proposed issue in the paper? The authors should explain it in the last sentence of the abstract and conclusion.
6-The authors should give a comparison table before the conclusion section and they should compare their work with at least 5 previously published works of the same research topic.
7-For some of the formulas in the introduction, the references were not given. The authors should give the used references for those formulas as well.
Author Response
Comment 1: The 'Introduction' section should not contain any figures and formula. Please move them to the 'materials and methods' section.
Answer 1: The 'Introduction' section does not contain figures and formulas. We moved them to the 'materials and methods' section.
Comment 2: Which Software did the authors use to obtain Figure 6? Please add the name of the Software in the revision.
Answer 2: When plotting dependencies in the Figure 6 we used the Microsoft Office Excel.
Comment 3: There are some grammatical issues in the manuscript file. The authors need to edit the file from a grammar point of view greatly.
Answer 3: The English was improved all over the paper.
Comment 4: The resolution of Figure 6 should be increased.
Answer 4: The resolution of the Figure 6 was increased.
Comment 5: What are the applications of the proposed issue in the paper? The authors should explain it in the last sentence of the abstract and conclusion.
Answer 5: We explained it in the last sentence of the abstract and conclusion.
Comment 6: The authors should give a comparison table before the conclusion section and they should compare their work with at least 5 previously published works of the same research topic.
Answer 6: The authors failed to find publications that would present the results of studying the features of deformation of inhomogeneous shells of revolution under the action of static loads of a general and local nature in a similar essentially nonlinear formulation, which explains the lack of comparison results with other authors for the class of problems under consideration.
Comment 7: For some of the formulas in the introduction, the references were not given. The authors should give the used references for those formulas as well.
Answer 7: References were revised and corrected.
Round 2
Reviewer 1 Report
My previous concerns were addressed properly. Please modify your ref at line 116.
Author Response
Reference on line 116 changed from [3;4] to [3, 4].
Reviewer 3 Report
Accept
Author Response
Dear sirs,
Thank you very much.
Best regards,
Authors
