Simulation of Nonseparable Nonstationary Spatially Varying Ground Motions with an Enhanced Interpolation Approximation Approach

Round 1

Reviewer 1 Report

A very good approach by the authors

Must add previously used equations in introduction section

There are some typo mistakes remove it before final submission

“Error! Reference source not found..” why you mention it two times.

If you are not sure about the error. Find it through error analysis approach.

Mention the value of error in conclusion

Author Response

We appreciate the careful reading and valuable comments given by the Reviewer 1. We had made significant changes in the manuscripts by taking into account the reviewers’ comments and suggestions.

Author Response File: Author Response.docx

Reviewer 2 Report

 

Lines 36, 38,39,41,44,45,57: Brackets [] in 2,3,4,5,6,7,10 are missing.

Line 144: “Error! Reference source not found”. Please change.

Line 167: “Error! Reference source not found”. Please change.

Line 172: “Error! Reference source not found”. Please change.

Line 173: “Error! Reference source not found”. Please change.

Line 231: “Error! Reference source not found”. Please change.

Line 234: “Error! Reference source not found”. Please change.

Line 236: “Error! Reference source not found”. Please change.

Line 255: “Error! Reference source not found”. Please change.

Lines 316-318: ”This is because the elements in the first column  of the lower triangular matrix change rapidly with frequency and the corresponding interpolation accuracy is relatively poor.”

Please Provide more details in text about Fig.11.

Lines 407-409: ”Results  show that the error introduced by two steps of interpolations is fairly small and the simulation agrees with the targets very well.” Please provide more details in text.

Author Response

We appreciate the careful reading and valuable comments given by the Reviewer 2. We had made significant changes in the manuscripts by taking into account the reviewers’ comments and suggestions.

Author Response File: Author Response.docx

Reviewer 3 Report

Formal comments
An overview of similar works by various authors in the introduction is well done. The structure of the complete article is appropriately chosen as well, following the primary aim: to achieve a simpler and more efficient simulation of nonstationary ground motions.

Some references in the text are not in square brackets (e.g., Lines 36, 38, 39, etc.)

There are error messages in lines 167/168, 172/173, etc. (Altogether, 25 error messages are in the article, please check the pdf carefully); therefore, it is not easy to follow the relations among equations.

Professional comments
Line 30 – "Despite the fact that numerous real earthquake recordings have been gathered, they are not sufficient for seismic response analysis of structures under multi-correlation seismic excitation." - Can you please give more details on why is it so?

It would be appropriate to indicate the sources in the equations in Chapter 2

I recommend describing the POD interpolation process (illustrated in Fig. 1) more precisely – the basic principles only, one paragraph without equations.

I recommend adding dots to the lines' cross-sections in Fig. 2

I recommend adding axis description to figures (where applicable, e.g., Fig. 3, 4, etc.)

What are the units for E1 (E2)? What are the acceptable values? Is a value of e.g., 0.3 already unacceptable? Why? Or I'll try to rephrase my question: What are the acceptable limits for E1 / E2 values, and why?

It would be nice to highlight the differences between Fig. 5a and 5b.

The method proposed by the authors is compared with the method according to [4]. What are the other possibilities for simulations? Could the comparison to them be at least illustrated and discussed?

Can you specify the input data (and conditions) for simulations presented in Fig. 8 and 10?

Author Response

We appreciate the careful reading and valuable comments given by the Reviewer 3. We had made significant changes in the manuscripts by taking into account the reviewers’ comments and suggestions.

Author Response File: Author Response.docx

Round 2

Reviewer 2 Report

The paper can be published in its present form.