Symplectic analysis for orbit-attitude coupled dynamic problem of spatial rigid beams

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (9) : 168-172.

YIN Tingting1, DENG Zichen1,2, JIANG Xianhong1

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Abstract

Taking dynamic problems of some large stiffness and small size adapting pieces in complex spatial structures before on-orbit assembly as studying background, the orbit-attitude coupled dynamic model for spatial rigid beams was established. With this dynamic model, the symplectic Runge-Kutta method was adopted to simulate dynamic behaviors of a spatial rigid beam. From the obtained numerical results about evolution processes of the beam’s orbit radius, true anomaly and attitude angle, it was shown that with increase in initial attitude angular speed, the orbit-attitude coupled effects become more obvious; the relative error of the system total energy within each time step is recorded, all relative errors are compared with those in the numerical results using the classic Runge-Kutta method, the correctness of the numerical results using the symplectic Runge-Kutta method and the long-time numerical stability of the symplectic Runge-Kutta method are verified.

Key words

rigid beam / orbit-attitude coupling / symplectic Runge-Kutta method / energy-preserving

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YIN Tingting1, DENG Zichen1,2, JIANG Xianhong1. Symplectic analysis for orbit-attitude coupled dynamic problem of spatial rigid beams[J]. Journal of Vibration and Shock, 2018, 37(9): 168-172

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