Youichi Kobayashi

A profile calculation method for form grinding wheels : theoretical analysis of error transmission and its application

When the values of coordinates and gradients at some points on a grinding wheel profile are given, a work tooth profile ground by the grinding wheel is analytically decided. By this method, transmission of errors (setting angle error, decrease in radius of grinding wheels by truing, positioning error, tooth profile error) from a grinding wheel to a work is analyzed. The transmission of errors is denoted by matrices. The quantity of errors is pointed out clearly according to the difference of specification of a work or a grinding wheel. A result that transmission of errors is decreased by selecting a best setting angle of grinding wheel is obtained.

Extraction of average component of gear vibrations and gear noises. (2nd report). The influence of the fluctuation of the number of revolution of gears.

Vibrations and noises of gears consist of the average component and the fluctuating one. The former is the component which always appears in each tooth meshing. The latter is the component which fluctuates about the average component. In the first report, it was described that the moving average method was very effective for extracting the average component. In that report, a steady rotation of gears was assumed. However, the number of revolution of gears always fluctuates more or less in actual gear equipments. In this report, the generation of the side band waves due to the fluctuation is explained and the allowable value of the fluctuation ratio is given to extract the average component.

Extraction of average component of gear vibrations and gear noises.

Vibrations and noises of gears consist of the average component and the fluctuant one. The former is the component which always appears in each tooth meshing. In general, this component consists of the meshing frequency and its harmonics. The latter is the component which fluctuates about the average component and is caused by the error of gears, torque fluctuation, and so on. In this report, the extraction of this average component by using a method of moving averages is described. This method is very effective for extracting the average component of gear noises or gear vibrations. The effectiveness of this method is shown theoretically and experimentally.