Controlled Turning of a Space Vehicle with Elastic Solar Panels

This work presents the problem of controlled roll turning of a symmetric space vehicle model with two identical solar panels, each consisting of several flat nondeformable sections connected by elastic hinges, with simultaneous damping of vibrations at several lower antisymmetric modes at the end of the turn. A general approach is proposed to the solution of the problem of an arbitrary three-dimensional elastic system undergoing a finite turning about a fixed axis, and nonstationary vibrations. The following problem is formulated: to determine a control function when the linear system turns during a finite time from one state of equilibrium to another by a predetermined angle, with simultaneous damping of elastic vibrations at the stopping time with regards to several lower eigenmodes. The author proposes an approach to solving the formulated inverse problem of dynamics of passive control of the system where solutions for the control function of the considered class are obtained as a series of sines and cosines. Calculations for a space vehicle model with two solar panels consisting of four flat sections are performed in order to compare and analyze the accuracy of the results obtained using the proposed method. A finite roll turning of the system with damping of several (from one to three) lower vibrational eigenmodes at the final moment of turning is considered. The influence of geometrical nonlinearities of the system is analyzed.

References

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