Identification Method of Geometric Deviations for Multi-Tasking Machine Tools Considering the Squareness of Translational Axes
Round 1
Reviewer 1 Report
Please do ALL suggested mandatory changes in attached file.
Comments for author File: 
Comments.pdf
Author Response
Dear Anonymous reviewer 1:
Thank you for your kind review and comments for technical improvement of this manuscript. The summary of our specific response is as follows:
Review comment:
Paper works on real problems in industry and it could be accepted only if the authors work in the introduction. Results are very good, but authors seem not read journals. Here at States this could be cause of rejecting but a new opportunity can be given.
It is not fine that you have missed all papers about the subject published in Europe over the last 10 years. In MDPI there is a line of interesting people from Europe and USA in the published works, but with states of the art like yours is impossible. Perhaps you did not have access to key journals. Please correct it, it is a compulsory point.
- I see the methods are good, based on matrix analysis. Some authors in IJAMT used Denavit and Hartenberg in the past.
Our response and revision:
The method based on matrix analysis has been applied in five-axis machining centers in the past. In this paper, this method will be used to identify geometric deviations for multi-tasking machine tools, whose configuration and mutual motion of axes is different from five-axis machining centers. Therefore, the identification procedure and analysis accuracy are also different according to the different type of machines.
- You must improve the state of the art deeply and thoroughly as well. Figure 5 shows a machine closely related with that used by Calleja, for example.
Our response and revision:
In recent years, multi-tasking machine tools have become widely popular in industry and many researchers research about their machining capabilities. For example, researcher Calleja focuses on processing technology to reach the high milling accuracy of product, such as, a five-axis machining process for milling a large spiral bevel gear by using multitasking machines (closely related with the type of machine I research about) or five-axis milling centers, 5-axis flank computer numerically controlled machining method with conical tools, and so on. So the literatures of the above mentioned research are added to Ref. 1 and 2.
However, what I research is to diagnose the assembly accuracy of machine tool executive units of multi-tasking machine tools directly by using measurement equipment.
- Thermal errors: https://doi.org/10.1016/j.ijmachtools.2013.09.005
Our response and revision:
There are two kinds of factors which could affect the machining accuracy, which are geometric errors of machines operating under no-load or quasi-static conditions and kinematic errors during processing. The geometric errors of machines include the geometric errors of the components and the accuracy of assembly of machine tool executive units. The kinematic errors during processing may be caused by thermal distortion, chatter vibrations or cutting force.
The thermal error occurs during the machining, so it is an important issue many researchers consider about to investigate the kinematic errors during processing. Therefore, this literature is added to Ref. 5.
- Kninematics and geometrical errors: The International Journal of Advanced Manufacturing Technology 68 (1-4), 149-164 or Metals 2019, 9(7), 757; https://doi.org/10.3390/met9070757 Authors are working here in the real proper way of some German brands.
Our response and revision:
In the first literature, a radical new ‘multitasking’ machine model is studied to give a useful outcome regarding the sensitivity of the machine with respect to the feasible assembly errors or errors produced by light misalignments caused by the machine tool continuous use. It is a valuable paper to research about multi-tasking machine tools, so it is added to Ref. 31.
In the second scientific literature, a new strategy to simulate the calibration and compensation of volumetric error in milling machines of medium and large size are proposed. The laser trackers are used to optimize volumetric error calibration processes. It is very valuable for the compensation method of geometric deviations in the next stage. So it is added to Ref. 30.
- Analysis of the tool tip radial stiffness of turn-milling centers. Int J Adv Manuf Technol 60, 883–891 (2012). https://doi.org/10.1007/s00170-011-3645-3
Our response and revision:
In this literature, stiffness values for turn-milling centers clamping a common workpiece are investigated to avoid deformation caused by cutting force during machining. Stiffness values may be one of factors to cause the kinematic errors during processing. Therefore, it is added to Ref. 7.
- Figure 2 symbols must be written clearer.
Our response and revision:
Figure 2 is modified as clear as possible. Please see the revisions.
- Applications to real industrial cases: The International Journal of Advanced Manufacturing Technology 29 (1-2), 49-63, in this case die making
Our response and revision:
In this literature, the high-speed finishing of forming tools for the processing of advanced high-strength steels are investigated. A utility for the proper selection of tilt and feed sense angles based on the minimization of cutting forces is developed to maintain adequate precision for die manufacturing. And it is also recommended that the surface should be divided into zones to determine the linear feed and cutting speed based on hardness level to achieve the simultaneous finishing of surfaces with different hardness in the same operation and with the same CNC program. I think it is not related with our research.
- Control: MoniThor: A complete monitoring tool for machining data acquisition based on FPGA programming, G Urbikain, prof. Urbikain has published a lot about dynamics in J sound and vibrations, even in MDPI: Applied Sciences 9 (21), 4718
Our response and revision:
In the first literature, a monitoring tool of machining processes, which can determine possible errors and deviations from the desirable conditions and save historical data of the workpieces manufactured by the same machine, is developed and applied to practical classes in the machine shop to strengthen students’ skills. I think it is not related with our research.
In the second literature, techniques and approaches to reduce and to avoid the effect of chatter vibrations on turning processes are summarized. Chatter vibrations may cause the kinematic errors during processing. Therefore, this literature is added to Ref. 6.
- Multitasking machines: Evolution, resources, processes and scheduling
- A Calleja-Ochoa, H Gonzalez-Barrio, R Polvorosa-Teijeiro, ...
- DYNA 92 (6), 637-642
Our response and revision:
Number 9, 10 and 11 perhaps refer to a same scientific literature. In this literature, the evolution, resources, processes and programming of multitasking machines is introduced. It is a very useful literature for researching about the machining accuracy of multitasking machines. Therefore, it is put into the introduction as Ref. 4.
- Five axis milling works by Calleja or barton are also missed.
Our response and revision:
The scientific literatures of Calleja’s and barton’s research have been added as Ref. 1, 2 and 3. Please see the revisions.
- Eliminate Ref 25, it is out of scope.
Our response and revision:
Ref 25 in the original version is eliminated.
Therefore, the above content is added to introduction by using the “Track Changes” function in the original version.
Author Response File: 
Author Response.docx
Reviewer 2 Report
The problem of the accuracy of assembly of machine tool executive units and they proper diagnostic during the production stage is a very important factor affecting the quality of manufactured components. For this reason, article is very interesting and it is practical significance in diagnosing machine tool accuracy.
The article generally is very carefully written, however the results in Tables 3 and 4 should be light more explained and comment.
Specific comments:
The correctness of formulas 11 and 12 should be checked,
Figure 3 is too small and should be increased because it is illegible in its current dimension.
Author Response
Dear Anonymous reviewer 2:
Thank you for your kind review and comments for technical improvement of this manuscript. The summary of our specific response is as follows:
Explanation and comment of Table 3 and 4 is added in Chapter 4. Formulas 11 and 12 are modified. Figure 3 is modified as clear as possible. Please see the revisions under the “Track Changes” function.
Author Response File: Author Response.docx
Reviewer 3 Report
This article deals with an interesting topic. The authors deal with it in a very sophisticated and detailed way. The virtues of the article are the presentation of the topic, the description of the mathematical background and the presentation of the results. Based on these, I suggest the article for publishing.
I found only a few editing errors in the text e.g. Equation 11 and Equation 12 or Figure 2 and Figure 6. It doesn't detract from the high standard of work.
In scientific point of view, in my opinion the introduction part contains all the necessary information for the readers, but it is true that the scientific literature can be extended with more related papers. I don't feel it should be changed.
The Authors used serious apparatus to describe the mathematical model, which is very commendable and necessary. To the best of my knowledge, they are correct and traceable.
The success of high precision manufacturing depends on things. The topic studied by the authors could be applied in industry later, so researching geometric deviations on machine tools is important and welcome.
Author Response
Dear Anonymous reviewer 3:
Thank you for your kind review and comments for technical improvement of this manuscript. The summary of our specific response is as follows:
According to your advice, Equation 11 and 12 are checked and modified. But I think Figure 2 and Figure 6 are correct.
The literature is extended with more related papers and there are some revised content in the introduction by using the “Track Changes” function.
Author Response File: Author Response.docx
Round 2
Reviewer 1 Report
Very good work
