OBLIQUE IMPACT OF SIMILAR BODIES WITH CIRCULAR CONTACT

The general solution for tangential loading histories of similar bodie s with circular areas of contact is outlined and applied to the tangen tial impact. Classical numerical methods use an interpolation function for the stress distribution on a set of points and obtain the stress distribution for given displacements by inversion of a linear equation system. Our solution avoids large systems of simultaneous equations a nd gives exact solutions for loading histories in form of finite, succ essive displacement increments. The general equations of motion for th e impact are derived and applied to the case, where the normal and the tangential equations of impact are uncoupled. The Nassi-Shneiderman d iagrams of the contact algorithm and the impact algorithm are presente d. The solution is compared with other results from earlier publicatio ns. A tangential coefficient of restitution, which determines the beha viour of the bodies after impact, is plotted as a function of two para meters.