Tooth surface measurement is an important way to verify the quality of produced gears. To reduce inspection time and cost, only a few tooth profiles and traces on some teeth are inspected. Measured data are not likely representatives of all gear teeth because errors may occur in assembly procedure and affect tooth contact condition. Frequently, tooth surface measuring data cannot show contact condition and used to predict gear vibration accurately. Field inspection method whose measured results relate directly to the meshing condition is required. This paper derives the relationship between meshing vibration components and the common gear tooth surface geometries of helical gears. The tooth surface geometries considered here are lead crowning, profile convex, pressure angle error, and bias-in modification. The polar plot representation, which plots meshing components in a complex plane, is proposed here to distinguish vibration characteristics of gears with various tooth surface forms. It is found that the vector of the second order of meshing component is valuable for classifying the type of tooth surface geometry.
Estimating Gear Tooth Surface Geometry by Means of the Vibration Measurement: Distinction of the Vibration Characteristics of Gears With Tooth Surface Form Error
Ratanasumawong, C., Matsumura, S., Tatsuno, T., and Houjoh, H. (September 2, 2009). "Estimating Gear Tooth Surface Geometry by Means of the Vibration Measurement: Distinction of the Vibration Characteristics of Gears With Tooth Surface Form Error." ASME. J. Mech. Des. October 2009; 131(10): 101003. https://doi.org/10.1115/1.3184692
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