Analysis Of Dynamic Contact Problem Research Articles

Contact characteristics of steel-rubber rollers based on modified contact theory considering viscoelasticity

This paper mainly studied the contact characteristics of steel-rubber rollers. First, according to the dynamic mechanical experimental data of rubber, the hyperelastic-viscoelastic composite constitutive model was constructed to accurately describe the properties of rubber. Then, for the contact problem of steel-rubber rollers, the elastic modulus of rubber presents an instantaneous change due to the influence of rubber's viscoelasticity, so the Hertz contact theory was modified through the instantaneous elastic modulus. Next, a dimensionless parameter [Formula: see text] was constructed to judge the viscoelastic influence degree of rubber. Finally, based on modified contact theory and the dimensionless parameter [Formula: see text], the influence of compressive force and rolling speed on the contact characteristics of steel-rubber rollers was analyzed. The research in this paper is helpful to the analysis of dynamic contact problem of rollers structure and the development of contact theory.

A stabilized numerical solution for the dynamic contact of the bodies having very stiff constraint on the contact point

For the numerical analysis of dynamic contact problem where the contact constraint is imposed by a very stiff massless spring between the bodies, it is shown that a stabilized time integration solution can be obtained without spurious oscillations by imposing the velocity and acceleration constraints as well as the displacement constraint on the contact point. For the velocity and acceleration contact constraints which are crucial for the numerical stability, the time derivatives of the spring deformation are computed by using the Newmark time integration rule of structural dynamics. With the numerical experiments the necessity of the velocity and acceleration contact constraints and the necessity of unconditionally stable time integration rule for the very stiff spring are demonstrated.