Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4924481 | Journal of Sound and Vibration | 2017 | 11 Pages |
Abstract
We discuss the problem of simultaneous dynamical stabilization and suppression of transverse and longitudinal vibrations of the space tethered system deployed along a certain trajectory. The dynamics of the system is described by a system of nonlinear partial differential equations for the longitudinal and transverse waves and we consider a non-classical version of the problem with one moving boundary. We formulate a mathematical model and perform the analytic and numerical analysis of the boundary control problem based on the Lyapunov method. A scheme of the deployment mechanism is suggested. It includes a control torque and transverse displacement of the boundary and ensures stable deployment of the whole system.
Related Topics
Physical Sciences and Engineering
Engineering
Civil and Structural Engineering
Authors
A.A. Malashin, N.N. Smirnov, O.Yu. Bryukvina, P.A. Dyakov,