Nonlinear reentry motion of a towed wire
Abstract
Wires towed behind reentry vehicles fail in tension due to the combined effects of aerodynamic drag and heating. Such wires experience a damped periodic motion that is essentially twodimensional. Since both aerodynamic forces and heating are proportional to deflection, it is necessary to determine the decay of the periodic motion to analyze the survival of such a wire. In this paper the principle of virtual work is used to define the large deflection planar motion of a thin, straight, uniform crosssection elastic wire. The wire is assumed to have one end fixed and the other end free and to be subjected to timevarying deflection dependent aerodynamic forces distributed along its length. Two methods of treating the free end boundary conditions are investigated, and both methods are found to provide a good correlation of laboratory measurements of free vibration. Using these methods it is found that over the altitude range from 1000 to 350 kft, some wires of interest are predicted to remain essentially straight, so that their predicted motion can be accurately approximated by the predictions for a wire of infinite stiffness.
 Publication:

AIAA Journal
 Pub Date:
 April 1977
 DOI:
 10.2514/3.7342
 Bibcode:
 1977AIAAJ..15..483B
 Keywords:

 Aerothermoelasticity;
 Bending Vibration;
 Reentry Physics;
 Towed Bodies;
 Wire;
 Aerodynamic Drag;
 Aerodynamic Heating;
 Structural Failure;
 Astrodynamics