Abstract
A semi-active vibration reduction method using internal resonance is proposed to decrease the nonlinear vibration of a flexible antenna with large flexibility. The dynamic model of a large space antenna with an absorber is established by the Kane method. The approximate analytical solutions of the system's nonlinear vibration equation are studied using the multi-scale method. The damping as well as frequency of vibration absorber are controlled by the PD feedback control method. By adjusting parameters of the vibration absorber, an energy channel between the fourth-order vibration mode of the large space antenna and the vibration mode of the vibration absorber is established, and a 2:1 internal resonance is formed between these two mode. The numerical simulation verifies the existence of energy interaction and the effectiveness of the vibration absorber.
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References
Yang YN. Study on the large deployable antenna control at orbit using intelligent structure. Xi'an University of Electronic Science and technology
He H. Static and dynamic modeling, analysis and calculation of large deflection space beam. Nanjing University of Aeronautics and Astronautics
Dong XF, He XS, Deng FY (2006) Effects of nonlinear deformation on dynamics of a planar flexible beam under large overall motions. Mech Sci Technol 25(4):407–409
Cartmell PL, Lawson J (1994) Performance enhancement of an autoparametric vibration absorber by means of computer control. J Sound Vib 177(2):173–195
Walson PL, Lamancusa JS (1992) A variable stiffness vibration absorber for minimization of transient vibrations. J Sound Vib 158(2):195–211
Tuer KL, Duquette AP, Golnaraghi MF (1993) Vibration control of a flexible beam using a rotational internal resonance controller, Part I: Theoretical development and analysis. J Sound Vib 167(1):41–62
Ture KL, Golnaraghi MF, Wang D (1994) Development of a generalized active vibration suppression strategy for a cantilever beam using internal resonance. Nonlinear Dyn 5(2):131–151
Duquette AP, Tuer KL, Golnaraghi MF (1993) Vibration control of a flexible beam using a rotational internal resonance controller, Part II: Experiment. J Sound Vib 167(1):63–75
Siddiqui SAQ, Golnaraghi MF (1998) Dynamics of a flexible cantilever beam carrying a moving mass. Nonlinear Dyn 15:137–154
Hou SJ, Chen YS, Liu XJ (1999) Nonlinear dynamic analysis of flexible manipulator. J Vib Eng 12(4):492–498
Yan ZA, Teng J, Xu H et al (2007) Study of dynamic characteristics of a rotating flexible beam with a sliding mass attached to. J Mech Strength 29(4):569–573
Golnaraghi MF, Tuer KL, Wang D (1994) Regulation of a lumped parameter cantilever beam via internal resonance using nonlinear coupling enhancement. Dyn Control 4:73–96
Golnaraghi MF (1991) Regulation of flexible structures via nonlinear coupling. Dyn Control 1:405–428
Acknowledgements
Supported by National Natural Science Foundation of China (Grant No. 52075014) and Civil Astronautics Pre-Research Project during the “13th Five-Year Plan” (Grant No. D020205).
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Fan, F., Gao, Z., Bian, Y., Zhang, Y., Cong, Q. (2023). Nonlinear Vibration Control of Large Space Antenna Based on Semi-active Vibration Absorber. In: Liu, X. (eds) Advances in Mechanism, Machine Science and Engineering in China. CCMMS 2022. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-19-9398-5_77
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DOI: https://doi.org/10.1007/978-981-19-9398-5_77
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