Analysis of Accuracy of Measuring Hyperboloid Gear by Coordinate Method

1 Tooth surface machining and tooth profile deviation of the hypoid gear Since the gear is a rotating part, the influence of the single tooth on the meshing performance of the gear is regarded as the tooth shape, and then the installation position is considered. When analyzing the design installation location, you only need to consider the influence of the tooth profile error. The design tooth surface A of the gear and the theoretical tooth surface B with the processing parameter error are respectively located in the static frame o, and the point P is the design calculation reference point of A, and the corresponding axes of the two frames coincide.
2 Influence of machining parameter error on tooth profile deviation The blade radius error of the cutter head is linearly related to the tooth profile deviation caused by the bed error. At the same time, the eccentric drum rotation angle error and the vertical wheel position error have certain similarities on the tooth profile deviation. The effect of the bed error on the tooth profile deviation is complementary to some extent, but not related to linearity; the law of the installation angle error causing the tooth profile deviation is gradually increased from the root to the top of the tooth from negative to positive. The degree gradually increases from the small end of the gear to the big end; the deviation of the tooth profile caused by the horizontal wheel error is large at both ends, and the middle is small.
3 Gear machining parameter error diagnosis and compensation meter provides the machine coordinate value of the probe center corresponding to the measuring point, which is the relationship between the measuring instrument coordinate system and the gear coordinate system. The frame om-xmymzm is the system standard of the measuring instrument. The frame, o2-x2y2z2 is the gear frame during machining, and t is the distance from the axial machining reference of the gear to the measuring reference. Usually, the two references should be consistent and the value is 0. The measured result can be converted to the gear when it is actually measured. On a certain frame o2-x2y2z2, the author considers the influence of the radius of the probe and the measurement efficiency and other factors. The angle between the x2 axis and the x2 axis in the figure can be determined when the error is solved.
4 Conclusions The research shows that the turbulence angle error has no influence on the shape of the tooth profile. The tooth profile deviation is most sensitive to the eccentric drum rotation angle error. The cutter blade top radius error is linearly related to the bed position error, the eccentric drum rotation angle error and the vertical wheel position error. The effect on the tooth profile deviation has a certain similarity. The effect of the bed error on the tooth profile deviation is complementary to some extent, but not linearly related. A solution model for gear machining parameter error based on tooth surface coordinate measurement is established. The solution model of error compensation parameter correction is established by using the primary and secondary effects of machining parameter error on tooth profile deviation.

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