Computerized design, generation and simulation of meshing and contact of hyperboloidal-type normal circular-arc gears

• The point-contact design method of HNCGs was achieved.
• The relationship between the variations and the errors of HNCGs was established.
• The computer program TCA of HNCGs was developed.
• The influences of misalignment errors in HNCGs on the shift of bearing contact were discovered.

The authors proposed an approach for computerized simulation of meshing and contact of misaligned hyperboloidal-type normal circular-arc gears (HNCGs). According to local conjugate theory, the point-contact design method for HNCGs was presented, and the equations of pinion-gear tooth surfaces were deduced. Using the moving frame method, the errors and the variations were quantified, and the error-variation equations were established. Based on Hertz contact hypothesis, the contact region of pinion-gear teeth was determined, and the computerized simulation program for tooth contact was developed. By the visualization of 3D- and 2D-contact regions, the influence of misalignment errors on the shift of the bearing contact has been explored. Numerical examples that illustrate the developed theory were provided.