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1、Dear Editor-in-Chief and the Associate Editor, Thanks a lot for your helpful comments on our manuscript. Now we are submitting this revised version after incorporating reviewers comments and making improvements. Yours sincerely, Kobe Bryant Dear Reviewers, We would like to express our sincere apprec
2、iation for your careful reading and invaluable comments to improve this paper. We have addressed all issues raised be the reviewer. The amendments made are mentioned below with reference to appropriate paragraphs and sections of the revised manuscript. Response to Reviewer #1 Comment 1 Very Good eff
3、orts are done for experimental setup. Answer Thank you for your encouragement of the research. Comment 2 How are the Theoretical modes shapes are calculated and presented in Fig. 2-4. Answer We have added the theoretical transverse mode shape function of a free paraboloidal membrane shell in Section
4、 3.1 on page 8. This assumed mode shape function was obtained and validated in our previous study and details could be found in ref.27. With this theoretical mode shape function, one can achieve the theoretical mode shapes of the paraboloidal shell in Fig. 2-4. - In a previous study of a free parabo
5、loidal shell, with experienced “trail-and-error” and verification, a new transverse mode shape function of a paraboloidal membrane shell with free boundary condition has been derived 27 3 1 cos sincos k kk UAkk (8) where the mode number k=1,2,3, Ak is the kth modal amplitude, is the meridional angle
6、 measured from the pole, and is the circumferential angle. Comment 3 From Table 4, Suppression ratio for First mode it is 63.9% and for Second mode it is 17%, along with complexity of unpredicted nonlinear behaviors, system uncertainties, model imperfections is it position of actuators also matters,
7、 discuss Answer We have added a paragraph to discuss this phenomenon on page 17. - Table 4 indicates that the suppression ratio of the first order mode is more significant than that of the second mode. This is qualitatively consistent with the theoretical results obtained in a previous study that th
8、e actuator control effect gradually decreases at higher modes since the inherent membrane effect diminishes as the mode increases 27. Furthermore, since the sensor and actuator chosen in this experiment is near the excitation position, according to Fig. 2 and Fig. 3, vibration amplitude of the first
9、 mode is larger than that of the second mode at that point. This could also contribute to the suppression difference between the two modes. Also, the suppression ratio could be influenced by the selection of the control parameters and the complexity of unpredicted nonlinear behaviors, system uncerta
10、inties, model imperfections, etc. of the paraboloidal shell system. Comment 4 Any study done on different gains other than Ksen =20 and Kact =50 (Page No. 11, last para) Answer According to the material properties (see Appendix) of the PVDF used in this experiment, we obtain the Ksen =20 and Kact =5
11、0 by parameter identification firstly. That is to say, these scale gains are the most appropriate for this kind of PVDF patches. Therefore, we did not carry out other experiments on different gains in this paper. Comment 5 The sensor voltages are very low, is it practically possible to get actuation
12、 voltage in space Answer Thank you for your advice. The sensing voltage of a PVDF patch is usually low and should be amplified before entering the controller. However, this sensing signal is only used to mirror the vibration amplitude of the shell at certain position. The actuation voltage for a PVD
13、F actuator would be hundreds of volts and this driving voltage can be supplied by high-proportion voltage amplifier modules today which is practical for space use. Additionally, some lower voltage (100V-150V) driving piezoelectric materials have been widely used in structure dynamic control and these materials may also be used in space in the future. Thank you again for your comments and we look forward to hearing from you regarding our submission. We would be glad to respond to any further questions and comments that you may have. Yours sincerely, Kobe Bryant