Rolling contact between dissimilar viscoelastic cylinders

Self-Contact for Rods on Cylinders

We study self-contact phenomena in elastic rods that are constrained to lie on a cylinder. By choosing a particular set of variables to describe the rod centerline the variational setting is made particularly simple: the strain energy is a second-order functional of a single scalar variable, and the self-contact constraint is written as an integral inequality. Using techniques from ordinary dif...

Theoretical Investigation of Accidental Contact between Distribution Lines of Dissimilar Voltage

A theoretical study is presented of the consequences of accidental contact between conductors at different voltage levels. This study was done to complement previous experimental and simulation work [1] and confirmed the previous findings that the distribution transformer holds down the voltage at the point of contact to a value below the nominal lower voltage level. Two cases are examined (a) ...

Nematic between Coaxial Cylinders

The stability of the equilibrium configurations of a nematic liquid crystal confined between two coaxial cylinders is analysed when a radial electric field is applied and the flexoelectric effect is taken into account. The threshold for perturbations depending only on the radius r in the cylindrical coordinate system and strong boundary conditions is studied. A new type of orientational transit...

A Frictionless Contact Problem for Viscoelastic Materials

We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. The body is assumed to have a viscoelastic behavior that we model with the KelvinVoigt constitutive law. The contact is frictionless and is modeled with the well-known Signorini condition in a form with a zero gap function. We present two alternative yet equivalent w...

Noise reduction of rolling bearing applications using viscoelastic layers