Abstract
The effects of clearance on dynamic responses of dual-axis positioning mechanism of a satellite antenna are investigated using a computational methodology. Considering clearances in joints, the clearance is defined and the mathematical model of revolute joint with clearance is presented. The normal contact force model and tangential friction model in clearance joint are established using nonlinear continuous contact force model and Coulomb friction model, respectively. Then numerical simulation is used to investigate the dynamic responses of dual-axis positioning mechanism with joint clearance. The results show that clearance has significant effects on dynamic responses of mechanism, and the investigation of the work can predict the dynamic responses of dual-axis positioning mechanism with clearance preferably, which is the basis of mechanism design, precision analysis and control system design.
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C. J. Li, Y. Liao, C. W. Liao and X. J. Feng, The dynamic simulation of the virtual prototype of the two-axes position mechanism for satellite antennas, Chinese Space Sci. Tech., 25 (5) (2005) 52–56 (in Chinese).
P. Flores, J. Ambrosio, J. C. P. Claro, H. M. Lankarani and C. S. Koshy, A study on dynamics of mechanical systems including joints with clearance and lubrication, Mech. Mach. Theory, 41 (2006) 247–261.
Q. Tian, Y. Q. Zhang, L. P. Chen and J. Z. Yang, Simulation of planar flexible multibody systems with clearance and lubricated revolute joints, Nonlinear Dyn., 60 (4) (2010) 489–511.
T. Li, J. Guo and Y. Cao. Dynamic characteristics analysis of deployable space structures considering joint clearance, Acta Astronaut., 68 (2011) 974–983.
O. A. Bauchau and J. Rodriguez, Modeling of Joints with Clearance in Flexible Multi-body System, Int. J. Solids Struct., 34 (2002) 41–63.
Y. Zhao and Z. F. Bai, Effects of clearance on deployment of solar panels on spacecraft system, Trans. Japan Soc. Aero. Space Sci., 53 (182) (2011) 291–295.
Y. Zhao and Z. F. Bai, Dynamics analysis of space robot manipulator with joint clearance, Acta Astronaut., 68 (2011) 1147–1155.
E. D. Stoenecu and D. B. Marghitu, Dynamic analysis of a planar rigid-link mechanism with rotating slider joint and clearance, J. Sound Vib., 266 (2003) 394–404.
I. Khemili and L. Romdhane, Dynamic analysis of a flexible slider-crank mechanism with clearance, Eur. J. Mech. A-Solid, 27 (2008) 882–898.
P. Flores, J. Ambrósio and J. C. P. Claro, Dynamic analysis for planar multibody mechanical systems with lubricated joints, Multibody Syst. Dyn., 12 (2004) 47–74.
J. Rhee and A. Akay, Dynamic response of a revolute joint with clearance, Mech. Mach. Theory, 31 (1996) 121–134.
P. Flores and J. Ambrosio, Revolute joints with clearance in multibody systems, Comput. Struct., 82 (2004) 1359–1369.
Q. Tian, Y. Q. Zhang, L. P. Chen and J. Z. Yang, Simulation of planar flexible multibody systems with clearance and lubricated revolute joints, Nonlinear Dyn., 60 (4) (2010) 489–511.
C. S. Liu, K. Zhang and L. Yang, Normal force-displacement relationship of spherical joints with clearances, ASME J. Comput. Nonlin. Dyn., 1 (2006) 160–167.
Z. F. Bai and Y. Zhao, A hybrid contact force model of revolute joint with clearance for planar mechanical systems, Int. J. Nonlin. Mech., 48 (2013) 15–36.
K. H. Hunt and F. R. E. Crossley, Coefficient of restitution interpreted as damping in vibroimpact, J. Appl. Mech., 42 (1975) 440–445.
H. M. Lankarani and P. E. Nikravesh, A contact force model with hysteresis damping for impact analysis of multibody systems, ASME J. Mech. Design, 112 (1990) 369–376.
P. E. Nikravesh, Computer-aided analysis of mechanical systems, Prentice-Hall, Englewood Cliffs, NJ (1988).
Z. F. Bai and Y. Zhao, Dynamic behaviour analysis of planar mechanical systems with clearance in revolute joints using a new hybrid contact force model, Int. J. Mech. Sci., 54 (2012) 190–205.
S. Erkaya and I. Uzmay, Investigation on effect of joint clearance on dynamics of four-bar mechanism, Nonlinear Dyn., 58 (2009) 179–198.
P. Flores, A parametric study on the dynamic response of planar multibody systems with multiple clearance joints, Nonlinear Dyn., 61 (2010) 633–653.
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Recommended by Associate Editor Jun-Sik Kim
Zheng Feng Bai received his Ph.D. in Astronautic and Aerospace Science and Technology from Harbin Institute of Technology, China, in 2011. His research interests include multibody system dynamics, structural dynamics and its applications in aerospace engineering.
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Bai, Z.F., Liu, Y.Q. & Sun, Y. Investigation on dynamic responses of dual-axis positioning mechanism for satellite antenna considering joint clearance. J Mech Sci Technol 29, 453–460 (2015). https://doi.org/10.1007/s12206-015-0105-2
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DOI: https://doi.org/10.1007/s12206-015-0105-2