六维系统环形桁架天线的非线性动力学分析

孙莹; 张伟; 吴瑞琴

doi:10.21656/1000-0887.390058

六维系统环形桁架天线的非线性动力学分析

doi: 10.21656/1000-0887.390058

北京工业大学机械工程与应用电子技术学院, 北京 100124

基金项目: 国家自然科学基金(11290152;11427801)

详细信息

作者简介:
孙莹（1987—），女，博士生(E-mail: sunying0000@126.com);张伟（1960—），男，教授，博士生导师(通讯作者. E-mail: sandyzhang0@yahoo.com);吴瑞琴（1990—），女，博士生(E-mail: ruiqinwu@163.com).

中图分类号: O322
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出版历程
- 收稿日期: 2018-02-06
- 修回日期: 2018-06-15
- 刊出日期: 2019-03-01

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

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)

摘要

摘要: 随着科技的发展，大尺度、低重量、易收拢、高精度等特点是未来天线的主要发展方向.环形桁架天线在发射时整体处于收拢状态，升空后按指令有顺序展开，节省了航天器的空间.此外，环形桁架天线可根据需求设计展开口径的大小.所以，环形桁架天线是目前较为理想的天线结构形式.由于自身结构特点以及复杂的空间环境因素，天线在运行时易产生大幅度的非线性振动，严重影响卫星的稳定运行.因此，将环形桁架天线简化成等效圆柱壳模型，并建立其动力学方程.采用理论分析和数值模拟研究了六维系统环形桁架天线的非线性动力学特性.利用规范型理论化简系统方程分析未扰系统和扰动系统的非线性动力学行为，利用能量相位法验证环形桁架天线系统具有Shilnikov型多脉冲混沌运动，利用数值模拟验证理论分析.并通过数值模拟研究了热激励对环形桁架天线系统非线性振动的影响.
- 环形桁架天线 /
- 规范型 /
- 能量相位法 /
- 混沌运动
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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