Applied Mathematics and Mechanics >
Nonlinear dynamics of flexible tethered satellite system subject to space environment
Received date: 2015-05-24
Revised date: 2015-11-04
Online published: 2016-04-01
Supported by
Project supported by the National Natural Science Foundation of China (Nos. 11002068 and 11202094), the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures (No. 0113Y01), and the Priority Academic Program of Jiangsu Higher Education Institutions
The paper studies the nonlinear dynamics of a flexible tethered satellite system subject to space environments, such as the J2 perturbation, the air drag force, the solar pressure, the heating effect, and the orbital eccentricity. The flexible tether is modeled as a series of lumped masses and viscoelastic dampers so that a finite multidegree-of-freedom nonlinear system is obtained. The stability of equilibrium positions of the nonlinear system is then analyzed via a simplified two-degree-freedom model in an orbital reference frame. In-plane motions of the tethered satellite system are studied numerically, taking the space environments into account. A large number of numerical simulations show that the flexible tethered satellite system displays nonlinear dynamic characteristics, such as bifurcations, quasi-periodic oscillations, and chaotic motions.
Bensong YU, Dongping JIN, Hao WEN . Nonlinear dynamics of flexible tethered satellite system subject to space environment[J]. Applied Mathematics and Mechanics, 2016 , 37(4) : 485 -500 . DOI: 10.1007/s10483-016-2049-9
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