Stabilization of the dynamic elastica only by damping torque

We consider a system of partial differential equations called the dynamic elastica, which describes the motion of a geometrically nonlinear (i.e., largely deflecting) elastic beam and is derived based on Euler–Bernoulli’s assumption. The aim of the paper is to examine the effect of damping torque (i.e., external torque generated as a negative feedback of the angular velocity of the beam’s centerline) on the stability of the elastica.