Dynamic Analysis of Satellite Antenna System with Joint Clearance and Reflector Flexibility
Publication: Journal of Aerospace Engineering
Volume 27, Issue 2
Abstract
A methodology for modeling and analysis of satellite antenna systems is presented considering the effects of the joint clearance and reflector flexibility in the system. The joint clearance model is established based on a thorough geometric description of the eccentricity vector. The contact-impact forces are evaluated based on a Hertz contact theory and a modified Coulomb’s friction law. The fixed-interface component-mode synthesis method and Lagrange’s equations are used to achieve a lower-order dynamic model by modal truncation. Furthermore, in the process of dynamic modeling, the changes of topology were expressed as constraint variations; namely, adding or deleting the variable structure constraint in the dynamic model. Finally, the multibody dynamics of satellite antenna are analyzed by considering a flexible reflector with ideal and nonideal joints. Thus, the simulation results can predict the dynamic characteristics of satellite attitude and antenna pointing with the effects of clearance and reflector flexibility. The conclusions have important theoretical and significant practical engineering value in the analysis and control of satellite antenna pointing accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This material is partially based upon Project No. 2013CB733000 supported by the National Basic Research Program of China, Project Nos. 51205079 and 11072066 supported by the National Science Foundation of China, and Project No. HIT.KLOF.01507374 supported by the Key Laboratory Opening Funding of Technology of Micro-Spacecraft and China Postdoctoral Science Foundation funded project (2013M541358). The authors thank Spacecraft Dynamics Design and Simulation Laboratory (SDDSL) of HIT for the research grant.
References
ADAMS 2005 r2 [Computer software]. Newport Beach, CA, Automatic Dynamic Analysis of Mechanical Systems.
Ambrosio, J. (2002). “Impact of rigid and flexible multibody systems: Deformation description and contact models.” Proc., NATO-ASI Conf. on Virtual Non-linear Multibody Systems, Springer, Rotterdam, Netherlands, 57–81.
Chen, B., and Pan, H. Y. (1997). “Dynamic modeling and computational simulation of unit of space deployable mechanism with joint clearance and link flexibility. Part one: dynamic modeling of the system.” Missiles and Space Vehicles, 32(1), 27–37.
Chen, L. M., Yan, S. Z., and Jin, D. W. (2004). “Contact-impact model and its discrete schemes for revolute pairs with small clearances.” J. Tsing Hua Univ., 44(5), 629–632.
Erkaya, S., and Uzmay, I. (2009). “Determining link parameters using genetic algorithm in mechanisms with joint clearance.” Mech. Mach. Theory, 44(1), 222–234.
Flores, P., and Ambrosio, J. (2004). “Revolute joints with clearance in multibody systems.” Comput. Struct., 82(17), 1359–1369.
Flores, P., Ambrosio, J., Claro, J. C. P., and Lankarani, H. M. (2006). “Influence of the contact-impact force model on the dynamic response of multibody systems.” J. Multi-Body Dyn., 220(1), 21–34.
Flores, P., Ambrosio, J., Claro, J. C. P., and Lankarani, H. M. (2008). Kinematics and dynamics of multibody systems with imperfect joints: Models and case studies, Springer, Berlin.
Gilardi, G., and Sharf, I. (2002). “Literature survey of contact dynamics modeling.” Mech. Mach. Theory, 37(10), 1213–1239.
Itoh, H., Ishikawa, K., and Kobayashi, Y. (2008). “Analysis of transverse vibration of antenna structure resonator using Bernoulli-Euler beam theory and quantum mechanical examination of its quantized displacement.” Jpn. J. Appl. Phys., 47(7), 5734–5742.
Liu, C. S., Zhang, K., and Yang, L. (2006). “Normal force-displacement relationship of spherical joints with clearances.” J. Comput. Nonlinear Dyn., 1(2), 160–167.
Liu, M. Z., and Gao, G. F. (2003). “Advances in the study on structure for space deployable antenna.” J. Astronautics, 24(1), 82–87.
MATLAB R2007b [Computer software]. Natick, MA, MathWorks.
Misawa, M., and Funamoto, K. (2005). “Dynamic characteristic prediction of large satellite antennas by component tests.” J. Spacecr. Rockets, 42(5), 845–849.
Ravn, P. (1998). “A continuous analysis method for planar multibody systems with joint clearance.” Multibody Syst. Dyn., 2(1), 1–24.
Schwab, A. L., Meijaard, J. P., and Meijers, P. (2002). “A comparison of revolute joint clearance model in the dynamic analysis of rigid and elastic mechanical systems.” Mech. Mach. Theory, 37(9), 895–913.
Shen, Y., Zheng, W. P., and Wang, X. Y. (2008). “Dynamic and vibration analysis of a SAR membrane antenna.” Proc., ASME Int. Mechanical Engineering Congress and Exposition, American Society of Mechanical Engineers (ASME), New York, 17–24.
Soong, K. (1988). An analytical and experimental study of the elastodynamic response characteristics of planar linkage mechanism with bearing clearances, Dept. of Mechanical Engineering, Michigan State Univ., East Lansing, MI.
Sterbini, G. (2006). “Analysis of satellite multibeam antennas's performances.” Acta Astronaut., 59(1), 166–174.
Sun, J., Ma, X. R., and Yu, D. Y. (2007). “Pointing accuracy analyses of a satellitic two-axes antenna pointing mechanism.” J. Astronautics, 28(3), 545–550.
Sun, X.-S., Yang, D., Geng, Y.-H., and Yang, X. (2004). “The antenna pointing control strategy study of tracking and data relay satellite.” Acta Aeronaut. Astronaut. Sinica, 25(4), 376–380.
Wu, L. X., and Liu, C. S. (2005). “Dynamic simulation and kinetic description of revolute joint with spatial clearance.” Acta Sci. Natralium Univ. Pekinensis, 41(5), 679–687.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 27 • Issue 2 • March 2014
Pages: 297 - 307
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 26, 2011
Accepted: Jun 26, 2012
Published online: Jul 14, 2012
Published in print: Mar 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.