Nonlinear normal modes of a tethered satellite system of two degrees of freedom under internal resonances

被引：10
|
作者：
Pang, Zhaojun [1 ]
Jin, Dongping [2 ]
Yu, Bensong [2 ]
Wen, Hao [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Mech Engn, Ministerial Key Lab ZNDY, Nanjing 210094, Jiangsu, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Jiangsu, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Tethered satellite system; Nonlinear normal modes; Internal resonance; Multiple scales method; ELECTRODYNAMIC TETHERS; PERIODIC MOTIONS; ATTITUDE-CONTROL; ELLIPTIC ORBITS; OSCILLATIONS; STABILITY; DYNAMICS; SUBSATELLITE; BODY;
D O I：
10.1007/s11071-016-2794-1
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The aim of this study was to investigate the nonlinear normal modes (NNMs) of an in-plane tethered satellite system (TSS) during state-keeping phase. The equations of the in-plane motion are derived for the TSS, and the analytic solutions under the three-to-one and one-to-one internal resonances are obtained by applying the method of multiple scales expressed in matrix forms. It is indicated by studying the stability properties of the NNMs that the number of NNMs is more than one over a wide range of the detuning parameter under both internal resonances. Finally, several numerical simulations are made to verify the analytical results.
引用
收藏
页码：1779 / 1789
页数：11
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