Analysis on Nonlinear Dynamics of Circular Truss Antennae in 6D Systems

SUN Ying; ZHANG Wei; WU Ruiqin

doi:10.21656/1000-0887.390058

Volume 40 Issue 3

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SUN Ying, ZHANG Wei, WU Ruiqin. Analysis on Nonlinear Dynamics of Circular Truss Antennae in 6D Systems[J]. Applied Mathematics and Mechanics, 2019, 40(3): 282-301. doi: 10.21656/1000-0887.390058

Citation:

SUN Ying, ZHANG Wei, WU Ruiqin. Analysis on Nonlinear Dynamics of Circular Truss Antennae in 6D Systems[J]. Applied Mathematics and Mechanics, 2019, 40(3): 282-301. doi: 10.21656/1000-0887.390058

Citation:

SUN Ying, ZHANG Wei, WU Ruiqin. Analysis on Nonlinear Dynamics of Circular Truss Antennae in 6D Systems[J]. Applied Mathematics and Mechanics, 2019, 40(3): 282-301. doi: 10.21656/1000-0887.390058

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Analysis on Nonlinear Dynamics of Circular Truss Antennae in 6D Systems

doi: 10.21656/1000-0887.390058

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, P.R.China

Funds: The National Natural Science Foundation of China(11290152;11427801)

Received Date: 2018-02-06
Rev Recd Date: 2018-06-15
Publish Date: 2019-03-01

Abstract

Abstract

The main tendency of circular truss antennae will be large scale, light weight and high flexibility in future. The circular truss antenna keeps in a folded state during the time of launching. After blastoff, the circular truss antenna unfolds in sequence according to the instruction, saving much space for the satellite. In addition, the caliber of the circular truss antenna can be designed as an ideal value according to requirement. Due to the structural characteristics and the complex spatial environment, the antenna may suffer large-amplitude vibrations, which severely affect the stability of the satellite. The circular truss antenna was simplified as an equivalent cylindrical shell model and the dynamic equations were established. The theoretical analysis and numerical simulation were used to investigate the nonlinear dynamic behaviors of the circular truss antenna in the 6D system. The normal form theory was adopted to simplify the averaged equations. The dynamics of the unperturbed system and the perturbed system was studied. The Shilnikov-type multi-pulse chaotic motion was proved with the energy-phase method, and the effects of the thermal excitation on the nonlinear vibrations of the circular truss antenna system was verified through numerical simulation.
- circular truss antenna,
- normal form,
- energy phase method,
- chaotic motion

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References(25)

References

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