Document Type : Original Article


1 Department of Mechanical Engineering, University of Tehran, Tehran, Iran.

2 College of Engineering, University of Tehran


In all types of satellites, communication systems are utilized for data transmission between satellite and ground stations. pointing the communication antennas to the ground is necessary for the correct mission transmission information. The vibration of the satellite antenna leads to deforming antenna pattern, creating noise and reducing connection quality. Moreover, working the attitude control actuators near the antenna's natural frequency leads to its resonance and large amplitude vibration in the antenna and satellite structure. Thus it is necessary to identify the satellite antenna dynamic behavior as natural frequency and damping ratio. In this paper, the satellite antenna is intended as a smart beam, based on the free vibration of clamped-free beam shape of satellite antenna and sensing its vibration by the piezoelectric sensor, its dynamic characteristic as damping and frequency is identified and verified by comparing the results with experimental ones. The considered mathematical model is very accurate and this model can be used to determine the dynamic behavior of the antenna in different satellite secondary structures.


Main Subjects

[1] L. Fu, A. Cazenave, Satellite altimetry and earth sciences: a handbook of techniques and applications, Elsevier, 2000.
[2] J. Zhao, Z. Cai, Nonlinear dynamics and simulation of multi-tethered satellite formations in Halo orbits, Acta Astronautica, 63(5-6) (2008) 673-681.
[3] T. Iida, Satellite communications: system and its design technology, IOS Press, 2000.
[4] Zeynab Aghajani , Ehsan Zabihian, M. Mirshams, GEO Communication Satellite Engineering Design Code ,Journal of space science and technology, 54 (2017).
[5] S. Gao, K. Clark, M. Unwin, J. Zackrisson, W. Shiroma, J. Akagi, K. Maynard, P. Garner, L. Boccia, G. Amendola, Antennas for modern small satellites, IEEE Antennas and Propagation Magazine, 51(4) (2009) 40-56.
[6] Ehsan Maani, Hossein Nejat Pishkenari, A.R. Kosari, Satellite 3Axis Attitude Control Using the Combination of Reaction Wheels and Thrusters Journal of space science and technology, 11 (2018).
[7] J. Sun, Q. Tian, H. Hu, Structural optimization of flexible components in a flexible multibody system modeled via ANCF, Mechanism and Machine Theory, 104 (2016) 59-80.
[8] Y. Ding, X. Shi, S. Gao, H. Wu, R. Zhang, Analysis of tracking-pointing error and platform vibration effect in inter-satellite terahertz communication system, in:  2017 Chinese Automation Congress (CAC), IEEE, 2017, pp. 430-434.
[9] L. Li, L. Tan, D. Wang, H. Yang, Optimal design of the main support structure of space camera aiming at the RMS value of random response, Journal of Vibroengineering, 19(4) (2017).
[10] M. Phadnis, M.D. Pilinski, S.E. Palo, Attitude Dynamics Modeling of Nanosatellites with Flexible Deployable Structures, sat, 31(32) (2018) 33.
[11] S. Bai, X. Huang, Y. Liu, Dynamic modeling and simulation of a flexible satellite, in:  2008 Asia Simulation Conference-7th International Conference on System Simulation and Scientific Computing, IEEE, 2008, pp. 1068-1072.
[12] B. You, D. Liang, Y. Sun, X. Yu, X. Wen, Numerical and experimental investigation on nonlinear dynamic behavior of satellite antenna reflector mechanism considering geometrical nonlinear effect and laminated composite material, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 233(2) (2019) 208-222.
[13] S.J. Joshi, Determination of Natural Frequency for CFRP Composite Satellite Antenna Reflector using Vibration Analysis, Nirma University Journal of Engineering and Technology (NUJET), 6(1) (2018) 21-25.
[14] M.I. Ali, S. Kumar, V. Ranjan, Effect of volume fraction index and mass ratio on natural frequency of clamped functionally graded plate with attached point mass, in:  2016 International Conference on Electrical, Electronics, and Optimization Techniques (ICEEOT), IEEE, 2016, pp. 1968-1972.
[15] M. Misawa, K. Funamoto, Dynamic characteristic prediction of large satellite antennas by component tests, Journal of spacecraft and rockets, 42(5) (2005) 845-849.
[16] S. Wu, Y. Liu, G. Radice, S. Tan, Autonomous pointing control of a large satellite antenna subject to parametric uncertainty, Sensors, 17(3) (2017) 560.
[17] S.M. Anandakrishnan, C.T. Connor, S. Lee, E. Shade, J. Sills, J. Maly, S. Pendleton, Hubble Space Telescope solar array damper for improving control system stability, in:  2000 IEEE Aerospace Conference. Proceedings (Cat. No. 00TH8484), IEEE, 2000, pp. 261-276.
[18] U. Jeffrey, E. Howard, SRTM on-orbit structural dynamics, in:  in 19th AIAA Applied Aerodynamics Conference, 2001.
[19] T. Sales, D. Rade, L. De Souza, Passive vibration control of flexible spacecraft using shunted piezoelectric transducers, Aerospace Science and Technology, 29(1) (2013) 403-412.
[20] L. Fan, X. Liu, G.-P. Cai, Attitude tracking and vibration control of membrane antenna satellite, Journal of the Franklin Institute, 357(15) (2020) 10584-10599.
[21] M. Wang, T. Zhao, Q. Liu, J. Liu, Y. Zhang, Application of a New-type Damping Structure for Vibration Control in Deployment Process of Satellite Antenna Component, in:  Journal of Physics: Conference Series, IOP Publishing, 2021, pp. 042042.
[22] H. Heidt, J. Puig-Suari, A. Moore, S. Nakasuka, R. Twiggs, CubeSat: A new generation of picosatellite for education and industry low-cost space experimentation,  (2000).
[23] A. Budianu, T.J.W. Castro, A. Meijerink, M.J. Bentum, Inter-satellite links for cubesats, in:  2013 IEEE Aerospace Conference, IEEE, 2013, pp. 1-10.
[24] N.N. Rogacheva, The theory of piezoelectric shells and plates, CRC press, 2020.
[25] P.E. Gill, W. Murray, M.H. Wright, Numerical linear algebra and optimization, SIAM, 2021.