摘要：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.1 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.
