円筒ころ軸受における対数クラウニングの公差設計  [in Japanese] Tolerance Design of Logarithmic Roller Profiles in Cylindrical Roller Bearings  [in Japanese]

A logarithmic profile is an essentially optimal geometry for rolling machine elements such as bearing rollers and raceways. Although some design methods of the profile have been proposed, they don't refer to the tolerance of geometry required in engineering applications and production. This paper shows how to define the tolerance range associated with the optimum profile suggested for bearing rollers by the authors. The overall tolerance is reasonably defined by giving the reduced amount of roller radius at three points so that the von Mises equivalent stress will not exceed a specified limit, where the point locations are measured from the intersection of the crowing curve and the chamfer curve not from the roller end. For the purpose of design usefulness, the tolerance expression is offered in dimensionless form.