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
Elastische Berührung zweier Halbräume
ZusammenfassungDie Theorie der elastischen Berührung fester Körper beruht vorwiegend auf den Arbeiten von Hertz, die aber nur unter besonderen, begrenzten Voraussetzungen gelten. Mit der vorliegenden Arbeit wird der Zweck verfolgt, neue Grundlagen zu einer allgemeineren Theorie der elastischen Berührung zweier Halbräume zu schaffen.