Contact Problems Between the Hub and the Shaft with a Three-angular Shape of Cross-section for Different Angular Positions

The actual state of the macrogeometry of the surfaces of mating elements, particularly form deviations, has a direct influence on constructional features and the functionality of the connections which are applied in mechanical engineering. The authors made an attempt to assess the influence of radial deviations, cross-section deviations and their compilations on the occurrence of the variable values of local stresses and displacements which are caused by the limited contact zone in the connection. The contact problems are represented on the example of the numerical simulation of the contact between rigid and non-deformable hub and the shaft with a three-angular cross-section and a saddleback distortion for different angular positions of the shaft. The authors have proved the occurrence of variable relative stresses and contact pressures. The authors have also showed the convergence of the calculated values of the forces and moments which are needed to move and rotate the shaft in the hub with the values obtained during the experimental investigations which were preformed in advance.