Abstract
Aiming at the problem of constructing digital model of involute gear with error, the method of linear interpolation combined with area weight interpolation is proposed. Based on the non-feature discrete data block technique, the true tooth surface discrete data obtained by the coordinate measuring instrument is divided into blocks, and then the interpolation method is used to interpolate the nonmeasurement area to construct the real tooth surface with errors. The contact part and dynamic performance of the gear are predicted by using the constructed error tooth surface. The contact error of the tooth surface and the transmission error of the gear are verified by the test, and the reliability of the judgment result is judged by measuring the vibration in the direction of the gear meshing line. Compared with the example, this method not only reduces the computational complexity of the interpolation algorithm, but also improves the accuracy of the tooth interpolation data points and the smoothness of the error tooth surface.
Highlights
It is well known that the contact situation of the gears in the gearbox directly affects the gearbox’s carrying capacity, vibration, and noise
Due to gear manufacturing and installation errors, bearing clearance, load bearing parts’ deformation, and so on, these factors will cause the gears to deviate from the ideal contact state
In order to ensure the smoothness of reconstructed tooth surface, this paper proposes a linear interpolation method combined with area weight interpolation method
Summary
It is well known that the contact situation of the gears in the gearbox directly affects the gearbox’s carrying capacity, vibration, and noise. The gear transmission error, the distribution area, and shape of tooth contact part have become an important index to measure the meshing performance of gear [1]. In order to accurately predict the dynamic performance of involute gears, the construction of error tooth surface is very important. Sun et al [5] propose an algorithm for constructing G1 continuous cubic triangular Bezier Surfaces from triangular mesh surfaces. In these studies, the detection of contact parts is mainly based on the traditional roll test and manual identification method. In contrast to constructing the digital model of single tooth surface, NURBS surface is used to construct the error tooth surface model of modified involute gears in this paper. Combined with the principle of involute gear meshing, the solution of the contact part of involute gear is obtained
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