2012/10/23 by Luciano Pandolfi, Pandolfi, Luciano
Engineering · Chemical Engineering · #Vibration and Dynamic Analysis #Fluid Dynamics and Vibration Analysis #Rheology and Fluid Dynamics Studies
paper · pdf · doi:10.48550/arxiv.1210.6147
In this paper we consider a viscoelastic string whose deformation is\ncontrolled at one end. We study the relations and the controllability of the\ncouples traction/velocity and traction/deformation and we show that the first\ncouple behaves very like as in the purely elastic case, while new phenomena\nappears when studying the couple of the traction and the deformation. Namely,\nwhile traction and velocity are independent (for large time), traction and\ndeformation are related at each time but the relation is not so strict. In fact\nwe prove that an arbitrary number of "Fourier" components of the traction and,\nindependently, of the deformation can be assigned at any time.\n