To account analytically for the mechanism of rolling friction between a steel ball and a steel plane, some basic assumptions on the hysteresis loss energy are made as follows : When the ball rolls forward a small distance, the hysteresis loss energy dissipated in a certain volume element is proportional to the product of the elastic strain energy of the element and its absolute increment attendant upon the rolling, where the proportional constant is determined only by the material of the rolling bodies. The proportionality between the pure rolling friction obtained in the experiment and the infinite integral of the above product of volume element, which is numerically computed, is investigated by using a number of different normal loads, ball diameters and materials. And the proportional relation for each material is realized, where the proportional constant depends upon the structure of the materials and is independent on the normal load and the ball diameter. Therefore it is confirmed that the above assumptions on the hysteresis loss energy is valid in the rolling friction.
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