Modeling and Experimental Study of the Dual Cylinder Fluid Inerter
Sergey Chefranov
Round 1
Reviewer 1 Report
In addition it may be interesting to include the comparision with the results of paper- X. Liu, et al Mech. Syst. Signal Processing vol.106, 479 (2018).
Author Response
Comments and Suggestions for Authors：
In addition it may be interesting to include the comparision with the results of paper- X. Liu, et al Mech. Syst. Signal Processing vol.106, 479 (2018).
Reply to the reviewer：
Thank you for the hard work and suggestions of the reviewers. After learning the paper recommended by the reviewers, we have the following two inspirations:
â‘ We ignore the existence of stiffness effects, and in our future work, we will also consider spring force to establish a more detailed model;
â‘¡ In this paper, the pressure at both sides of the piston is measured in the experimental, which plays a good role in correcting the test data. This method is also worth learning.
Reviewer 2 Report
A new approach to vibration damping based on a two-cylinder chamber with liquid is proposed. A mathematical model of this device has been developed. This model was tested and compared with experiment. Good agreement between calculation and experiment is shown.
The work was done to a good standard and can be published after some corrections have been made.
1. When describing the mathematical model of damping, there are no references to many formulas. For example, it is not clear why formula (9) was used. Need a link.
2. It is not clear what kind of comparison with the results of theory and calculation is in Figure 5. It is necessary to describe which equations were solved in the simulink. Probably the same? Then what's the point of this comparison?
3. It is not clear what caused the oscillations in the calculation in Figure 5. Are these numerical defects in the difference scheme or is this physical behavior? It needs to be explained.
4. It is necessary to describe the experimental conditions more subtly. Indicate the measurement scheme, how the measurements were carried out and be sure to indicate the error of the experiment.
Author Response
Comments and Suggestions for Authors：
A new approach to vibration damping based on a two-cylinder chamber with liquid is proposed. A mathematical model of this device has been developed. This model was tested and compared with experiment. Good agreement between calculation and experiment is shown.
The work was done to a good standard and can be published after some corrections have been made.
1.When describing the mathematical model of damping, there are no references to many formulas. For example, it is not clear why formula (9) was used. Need a link.
2. It is not clear what kind of comparison with the results of theory and calculation is in Figure 5. It is necessary to describe which equations were solved in the simulink. Probably the same? Then what's the point of this comparison?
3. It is not clear what caused the oscillations in the calculation in Figure 5. Are these numerical defects in the difference scheme or is this physical behavior? It needs to be explained.
4. It is necessary to describe the experimental conditions more subtly. Indicate the measurement scheme, how the measurements were carried out and be sure to indicate the error of the experiment.
Reply to the reviewer 2
First of all, I would like to thank the reviewer for his efforts in this paper. Your suggestions have very high scientific and engineering value and also give us a lot of inspiration. Here I reply to your suggestions one by one:
1. We apologize for our lack of rigor. References [19][20] are added to equations (9) and (11) to explain the source of the formulas.
2. In Fig. 5, the calculation results of the model in this paper are compared with the Simulink model. I am sorry that the reason for this comparison is not clearly stated. This comparison is to illustrate the correctness of the model established in this paper. The modeling in this paper was based on the empirical formula of fluid mechanics, while "The Segmented Pipe LP" module in Simulink was based on the finite element idea. The two models are in good agreement, which indicates the correctness of the model before the test comparison. Related descriptions are also added in the paper.
3. I am very sorry that the lack of relevant description in the paper has caused confusion to the reviewer. It is a normal physical phenomenon that the oscillations in the calculation results of Simulink. At the moment of loading, the internal pressure of the fluid inerter transient fluctuate, and gradually converges to the steady state after a period of oscillation. The mechanical model established in this paper is based on the empirical formula of fluid mechanics and is a description of steady state, so there is no oscillation in the mathematical model in Fig. 5. Related descriptions are added in the paper.
4. We apologize for our lack of discipline. The description and analysis of experimental conditions, measurement scheme and experimental error are added in the paper.
Reviewer 3 Report
1. Substitute Equation (1) into Equation (2), and obtain:...
Equation (3) is written based on the equality of areas A6 and A2, A9 and A15.
2. In line 166 - the letter F.
3. in line 167, replace the letter "c" with "C"
4. It is advisable to give examples of the use of an inerter in the conclusions
5. Recommendations for the formation of the text of the article:
- it is not recommended to place the section title separately from the text on the page (line 145);
- it is not recommended to place the name of the picture separately from the text on the page (line 160).
Author Response
Comments and Suggestions for Authors
1. Substitute Equation (1) into Equation (2), and obtain:
Equation (3) is written based on the equality of areas A6 and A2, A9 and A15.
2. In line 166 - the letter F.
3. In line 167, replace the letter "c" with "C" .
4. It is advisable to give examples of the use of an inerter in the conclusions.
5. Recommendations for the formation of the text of the article:
- it is not recommended to place the section title separately from the text on the page (line 145);
- it is not recommended to place the name of the picture separately from the text on the page (line 160).
Reply to the reviewer 3
1. I am very sorry that the relevant content in the paper is not clearly described, which brings confusion to the reviewer. Equation (3) is written based on the equality of the discharge (or inflow) Q2 of the main chamber 2 and the inflow (or outflow )Q15 of the annular chamber 15.
2. I'm sorry for not being precise. There is an extra "F" in line 166. Delete it.
3. I'm sorry for not being precise. We have replaced the letter "c" on line 167 with "C".
4. Dual cylinder fluid inerter can provide greater inertial force, and has great potential in vehicle suspension, building vibration reduction and other applications.
5. I'm sorry for not being precise. It has been revised according to the comments of the reviewer.
