AN ORTHOGONAL UNIFORM/PARABOLIC SURFACE PRESSURE HALF-SPACE ELEMENT FOR THE ANALYSIS OF NON-HERTZIAN CONTACT
An orthogonal uniform/parabolic surface pressure half-space element is derived for the analysis of non-Hertzian contact. Restriction is made to parabolic variation of the surface gap in the contact in one orthogonal direction. The surface pressure is integrated analytically over the surface element to obtain influence co-efficeints, e.g. for the normal surface displacement. The coefficients are assembled into matrices leading to a linear system of equations. After solving the parabolic pressure variation is transformed to an equivalent semi-elliptic one coinciding with Hertzian line contact. Adjustments are introduced to approximate the finite size of the bodies in contact. The theoretical predictions are compared to experiments involving the non-Hertzian contact between cylinders of finite lengths.
The influence of certain raceway dent geometries (3-D) on contact stresses and rating fatigue life of rolling bearings
Influence de certaines geometries tridimensionnelles d'indentations sur le chemin de roulement sur les contraintes de contact et la duree de vie nominale de paliers de roulement
A Practical Method for Determining Contact Stresses in Elastically Loaded Line Contacts
Forecasting life of a cylindrical rolling element under cyclic elastic loading and with misalignment requires determining the exact shape of the mutual contact as well as its area. The classical Hertzian equations for predicting half width of the contact area and resulting mean and maximum stresses are only sufficient to determine the stress levels for symmetrically loaded, uncrowned cylinders under static and dry surface conditions. However, the theory fails in predicting stress distributions for crowned cylinders, symmetrically or asymmetrically loaded and does not describe end of contact phenomena. Toward this end a method has been developed for recording the contact area or “footprint”, created by the symmetrical or asymmetrical static loading of a partially crowned, cylindrical steel roller on an unlubricated flat steel plate. Analysis of the “foot print” yields the load and stress distributions over the contact area and may be employed as a practical tool in experimental investigations and product d...