Stability and Bifurcation Analysis of a Spinning Space Tether |
| |
Authors: | J Valverde JL Escalona J Dominguez AR Champneys |
| |
Institution: | (1) Department of Mechanical and Materials Engineering, University of Seville, 41092 Seville, Spain;(2) Department of Engineering Mathematics, University of Bristol, UK |
| |
Abstract: | A detailed, geometrically exact bifurcation analysis is performed for a model of a power-generating tethered device of interest
to the space industries. The structure, a short electrodynamic tether, comprises a thin, long rod that is spun in a horizontal
configuration from a satellite in low Earth orbit, with a massive electrically conducting disk at its free end. The system
is modelled using a Cosserat formulation leading to a system of Kirchhoff equations for the rod's shape as a function of position
and time. Moving to a rotating frame, incorporating the effects of internal damping, intrinsic curvature due to the deployment
method and novel force and moment boundary conditions at the contactor, the problem for steady rotating solutions is formulated
as a two-point boundary value problem. Using numerical continuation methods, a bifurcation analysis is carried out varying
rotation speeds up to many times the critical resonance frequency. Spatial finite differences are used to formulate the stability
problem for each steady state and the corresponding eigenvalues are computed. The results show excellent agreement with earlier
multibody dynamics simulations of the same problem. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|