ASYMPTOTIC APPROACH TO SOLVING THE CONTACT PROBLEM FOR A ROLLING BODY WITH A THIN DEFORMABLE RIM

On the basis of an asymptotic approach to solving elasticity theory boundary value problem for a thin strip rigidly linked non-deformable base, differential equations are derived determining normal and shear loads distributed on face free from fastening. These used solve contact rigid cylinder with elastic rim horizontal rough support surface. The loading by vertical force is considered given center settling. calculated diagrams pressure stresses obtained. In contrast previously methods, developed technique makes it possible take into account presence adhesion slip zones in area, as well use mathematically strict solution constitutive stress. acting displacement determined. stress tensor intensity distribution established. results application compared estimates obtained exact arbitrary thickness within method, involving Winkler base simplified model. dependences error method Poisson's ratio material paper describes effect rim-support surface friction coefficient pressure, maximum rim. It concluded that reasonable at problems rolling elements relatively