Results on the Thermoelastic Behavior of a Joint-Leg-Beam System for Space Applications

RUBEN D. SPIES

Dipartimento di Matematica – viale Morgagni 67/a – 50134 Firenze, Italy

Conferencia; ITLA5, Italian-Latinoamerican Conference in Applied Mathematics; 2007

Società Italiana di Matematica Applicata e Industriale

Rigidizable/Inflatable (RI) materials offer the possibility of deployable large space structures (C. H. M. Jenkins (ed.), “Gossamer Spacecraft: Membrane and Inflatable Structures Technology for Space Applications”, Progress in Aeronautics and Astronautics, 191, AIAA Pubs., 2001) and so are of interest in applications where large optical or RF apertures are needed. In particular, in recent years there has been renewed interest in inflatable-rigidizable truss-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. One of the most important characteristics of such space systems is their response to changing thermal loads, as they move in and out of the Earth’s shadow. We study a model for the thermoelastic behaviour of a basic truss component consisting of two RI beams connected through a joint subject to solar heating. Axial and transverse motions as well as thermal response of the beams with thermoelastic damping are taking into account. The model results in a coupled PDE-ODE system. Well-posedness, stability and numerical results are shown and analyzed.Gossamer Spacecraft: Membrane and Inflatable Structures Technology for Space Applications”, Progress in Aeronautics and Astronautics, 191, AIAA Pubs., 2001) and so are of interest in applications where large optical or RF apertures are needed. In particular, in recent years there has been renewed interest in inflatable-rigidizable truss-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. One of the most important characteristics of such space systems is their response to changing thermal loads, as they move in and out of the Earth’s shadow. We study a model for the thermoelastic behaviour of a basic truss component consisting of two RI beams connected through a joint subject to solar heating. Axial and transverse motions as well as thermal response of the beams with thermoelastic damping are taking into account. The model results in a coupled PDE-ODE system. Well-posedness, stability and numerical results are shown and analyzed.