ON THE DYNAMICS OF AN ELASTIC STRING PENDULUM
The motion of a pendulum consisted by of a rigid body attached to an extensible string with distributed mass and elasticity which permit the axial deformation, is analyzed in this paper. The unstretched length of the string is varying due to a pivot point to which the other end of the string is fixed. The coupling dynamics between the motion of the rigid body and the strings’ deformation and displacement shows a rich and complex behavior with a clear tendency to chaos. The coupled set of motion equations are solved by using the cnoidal method. A comparison between results obtained by using the cnoidal method and the Lie group variational technique is also performed.