ころ軸受の対数クラウニングとその最適化手法(機械要素,潤滑,工作,生産管理など)

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When a bearing roller is in contact with raceways, excessive pressure peaks occur at the ends of the contact rectangles. They are called edge loading. Roller and/or raceway profiles are usually crowned to prevent edge loads. Lundberg developed a logarithmic function as a crowned profile. The profile gives an axially uniform pressure distribution. Johns-Gohar improved the function for convenience of manufacturing. However, the Johns-Gohar profile yields edge loading when the roller is tilted. Also, the profile allows no straight portion on the roller surface although it is desirable to have a flat region from the viewpoint of machining. In this study, we modified the Johns-Gohar logarithmic function to exclude edge loading even when the roller is tilted allowing a flat region. Three parameters, K_1, K_2 and z_m, are introduced into the Johns-Gohar function. These have the following meanings: K_1: coefficient of load, K_2: ratio of crowning length to effective contact length, z_m: crown drop at edge of effective contact length zone. In addition, a mathematical optimization method is used to efficiently determine a set of the parameters. An optimization problem is considered to minimize the maximum contact pressure P_<max>, or to maximize the rolling fatigue life L_<10>. A Rosenbrock method is adopted as the optimization algorithm. The method requires no evaluation of gradients of the objective function. Pressure distribution is calculated by making use of a multilevel method. Some examples are demonstrated to verify the proposed method for both P_<max> and L_<10>.
2006-09-25

ころ軸受の対数クラウニングとその最適化手法(機械要素,潤滑,工作,生産管理など)

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