Abstract
Disturbance-Free Payload (DFP) spacecraft is a novel spacecraft architecture consisting of the support module(SM) and the payload module(PM), which can provide an ultra-quiet vibration environment for sensitive payloads, but in practical applications, flexible cables used for the power supply and data transmission resulting in an additional vibration transmission path from the support module to the payload module. To address the problem that the flexible cable degrades the pointing performance of the payload module, one nonlinear model consisting of static and dynamic components of the flexible cable is established, and solved by a method of the differential quadrature based time integration. Separately applied the impulse disturbance to the support module, the dynamic transmission characteristics of flexible cable are analyzed. To suppress the micro-vibration caused by the flexible cable, a disturbance feedforward control compensation based on the established exact model is proposed, and the effectiveness of the disturbance feedforward compensation method is verified by numerical simulation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ardelean, E.V., Babška, V., Goodding, J.C., Coombs, D.M., Robertson, L.M., Lane, S.A.: Cable effects study: Tangents, rabbit holes, dead ends, and valuable results. J. Spacecr. Rockets. 52, 569–583 (2015). https://doi.org/10.2514/1.A32792
Bushnell, G.S., Becraft, M.D.: Flight test of an international space station active rack isolation prototype system. Smart Mater. Struct. 8, 791–797 (1999). https://doi.org/10.1088/0964-1726/8/6/308
Collette, C., Matichard, F.: Sensor fusion methods for high performance active vibration isolation systems. J. Sound Vib. 342, 1–21 (2015). https://doi.org/10.1016/j.jsv.2015.01.006
Edberg, D.L., Wilson, B.W.: Design and Testing of Reduced-Stiffness Umbilicals for Space Station Microgravity Isolation. J. Spacecr. Rockets. 38, 563–568 (2001). https://doi.org/10.2514/2.3717
Engberg, R.: Umbilical Stiffness Matrix Characterization and Testing for Microgravity Science Payloads. In: 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. pp. 4342–4352. American Institute of Aeronautics and Astronautics, Reston, Virigina (2003)
Fialho, I., Thampi, S.: The interplay between hardware and control system design in the development of the Active Rack Isolation System. In: 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. pp. 575–583. American Institute of Aeronautics and Astronautics, Reston, Virigina (2000)
Fung, T.C.: Solving initial value problems by differential quadrature method-part 1: first-order equations. Int. J. Numer. Methods Eng. 50, 1411–1427 (2001). https://doi.org/10.1002/1097-0207(20010228)50:6%3c1411::AID-NME78%3e3.0.CO;2-O
Glaister, D.S.: Ball Aerospace 4–6 K Space Cryocooler. In: AIP Conference Proceedings. pp. 632–639. AIP (2006)
Gonzales, M.A., Pedreiro, N., Roth, D.E., Brookes, K., Foster, B.W.: Unprecedented vibration isolation demonstration using the Disturbance-Free Payload concept. In: Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference. pp. 2507–2518 (2004)
Goyal, S., Perkins, N.C., Lee, C.L.: Non-linear dynamic intertwining of rods with self-contact. Int. J. Non. Linear. Mech. 43, 65–73 (2008). https://doi.org/10.1016/j.ijnonlinmec.2007.10.004
Hu, W., Ye, J., Deng, Z.: Internal resonance of a flexible beam in a spatial tethered system. J. Sound Vib. 475, 115286 (2020). https://doi.org/10.1016/j.jsv.2020.115286
Li, Q., Liu, L., Yang, H.: High Accuracy and Multi-Target Acquisition, Pointing and Tracking under Satellite Micro-Vibrations. Microgravity Sci. Technol. 32, 715–727 (2020). https://doi.org/10.1007/s12217-020-09804-0
Liao, H., Xu, Y., Zhu, Z., Deng, Y., Zhao, Y.: A new design of drag-free and attitude control based on non-contact satellite. ISA Trans. 88, 62–72 (2019). https://doi.org/10.1016/j.isatra.2018.11.049
Liu, S., Li, Y.-F.: Precision 3-D Motion Tracking for Binocular Microscopic Vision System. IEEE Trans. Ind. Electron. 66, 9339–9349 (2019). https://doi.org/10.1109/TIE.2019.2893849
Liu, W., Gao, Y., Dong, W., Li, Z.: Flight Test Results of the Microgravity Active Vibration Isolation System in China’s Tianzhou-1 Mission. Microgravity Sci. Technol. 30, 995–1009 (2018). https://doi.org/10.1007/s12217-018-9659-9
Liu, Y., Xue, Y.: Stability analysis of helical rod based on exact Cosserat model. Appl. Math. Mech. 32, 603–612 (2011). https://doi.org/10.1007/s10483-011-1442-8
Pedreiro, N.: Spacecraft Architecture for Disturbance-Free Payload. J. Guid. Control. Dyn. 26, 794–804 (2003). https://doi.org/10.2514/2.5114
Pedreiro, N., Carrier, A., Lorell, K., Roth, D., Shelef, G., Clappier, R., Gonzales, M.: Disturbance-Free Payload Concept Demonstration. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. pp. 1–12. American Institute of Aeronautics and Astronautics, Reston, Virigina (2002)
Pedreiro, N., Gonzales, M., Foster, B., Trankle, T., Roth, D.: Agile Disturbance Free Payload. In: AIAA Guidance, Navigation, and Control Conference and Exhibit. American Institute of Aeronautics and Astronautics, Reston, Virigina (2005)
Ricciardi, G., Saitta, F.: A continuous vibration analysis model for cables with sag and bending stiffness. Eng. Struct. 30, 1459–1472 (2008). https://doi.org/10.1016/j.engstruct.2007.08.008
Ross, R.G.: NASA’s Advanced Cryocooler Technology Development Program (ACTDP). In: AIP Conference Proceedings. pp. 607–614. AIP (2006)
Ross, R.G., Boyle, R.F.: An Overview of NASA Space Cryocooler Programs — 2006. 1–10 (2006)
Wang, K., Er, G.-K., Zhu, Z.: 3D nonlinear dynamic analysis of cable-moored offshore structures. Ocean Eng. 213, 107759 (2020). https://doi.org/10.1016/j.oceaneng.2020.107759
Wang, X.: Differential Quadrature and Differential Quadrature Based Element Methods. Elsevier (2015)
Wu, C., Kong, X., Liu, Y., Chen, Z.: Coupling characteristics analysis for the disturbance free payload spacecraft. Acta Astronaut. 138, 407–416 (2017). https://doi.org/10.1016/j.actaastro.2017.06.020
Wu, Q., Liu, B., Cui, N., Yue, H., Liu, R.: Dynamic analysis of umbilical cables for maglev vibration isolation systems. AIAA J. 57, 1752–1762 (2019). https://doi.org/10.2514/1.J057914
Xiong, Z., Liu, L., Li, Q.: Composite formation flying strategy for distributed space telescopes with an ultralarge aperture. J. Astron. Telesc. Instruments, Syst. 6, 1 (2020). https://doi.org/10.1117/1.JATIS.6.2.027002
Yan-Zhu, L.: On dynamics of elastic rod based on exact Cosserat model. Chinese Phys. B. 18, 1–8 (2009). https://doi.org/10.1088/1674-1056/18/1/001
Yang, H., Liu, L., Yun, H., Li, X.: Modeling and collision avoidance control for the Disturbance-Free Payload spacecraft. Acta Astronaut. 164, 415–424 (2019). https://doi.org/10.1016/j.actaastro.2019.07.025
Zhou, J., Liu, L., Wang, Z.: Modeling and Analysis of Ultra-Low Frequency Dynamics of Drag-Free Satellites. Microgravity Sci. Technol. 31, 151–160 (2019a). https://doi.org/10.1007/s12217-019-9672-7
Zhou, J., Wang, Z., Li, W., Liu, L., Deng, Y., Zhao, Q.: Modeling and Pointing Performance Analysis of Disturbance-Free-Payload System With Flexible Umbilical Connection. IEEE Access. 7, 109585–109596 (2019b). https://doi.org/10.1109/ACCESS.2019.2933898
Acknowledgements
This work is supported by the National Key R&D Program of China (Grant Number: 2016YFB0501203), and the National Natural Science Foundation of China (Grant Number: 52075446 and 51675430).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yang, H., Liu, L., Liu, Y. et al. Modeling and Micro-vibration Control of Flexible Cable for Disturbance-Free Payload Spacecraft. Microgravity Sci. Technol. 33, 46 (2021). https://doi.org/10.1007/s12217-021-09897-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12217-021-09897-1