info:eu-repo/semantics/article
Results on Transversal and Axial Motions of a System of Two Beams Coupled to a Joint through Two Legs
Fecha
2005-12Registro en:
Burns, J. A.; Cliff, E. M.; Liu, Z.; Spies, Ruben Daniel; Results on Transversal and Axial Motions of a System of Two Beams Coupled to a Joint through Two Legs; Asociación Argentina de Mecánica Computacional; Mecánica Computacional; XXIV; 12; 12-2005; 2247-2269
2591-3522
CONICET Digital
CONICET
Autor
Burns, J. A.
Cliff, E. M.
Liu, Z.
Spies, Ruben Daniel
Resumen
In recent years there has been renewed interest in inflatable-rigidizable space structures because of the efficiency they offer in packaging during boost-to-orbit. However, much research is still needed to better understand dynamic response characteristics, including inherent damping, of truss structures fabricated with these advanced material systems. We present results of an ongoing research related to a model consisting of an assembly of two beams with Kelvin-Voight damping, coupled to a simple joint through two legs. The beams are clamped at one end but at the other end they satisfy a boundary condition given in terms of an ODE coupling boundary terms of both beams, which reflects geometric compatibility conditions. The system is then written as a second order differential equation in an appropriate Hilbert space in which well-posedness, exponential stability as well as other regularity properties of the solutions can be obtained. Two different finite dimensional approximation schemes for the solutions of the system are presented. Numerical results are presented and comparisons are made.