Abstract A penetration-based gear contact model for accurate and numerically efficient tooth contact analysis of spiral bevel gears is used to investigate the simulation of gear alignment errors. The developed gear contact model with surfaces of roll angles, computed for the gear pair’s tooth flanks in the absence of misalignments, is shown to be well capable of predicting a misaligned gear pair’s contact performance. In this approach the contact curves on the three-dimensional tooth flanks are efficiently computed from the surfaces of roll angles, while the flank mismatch is directly determined by the instantaneous position and orientation of the gear tooth surfaces without the need for an ease-off topography. The latter provides a higher robustness to configuration variations. Finally, a novel strategy to parametrically redefine the gear contact element’s surfaces of roll angles in function of a gear pair’s instantaneous misaligned state, is developed to further increase the accuracy of the contact algorithm.

中文翻译：

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螺旋锥齿轮齿面接触分析中齿轮对准误差的建模

摘要 基于穿透的齿轮接触模型用于螺旋锥齿轮的精确和数值有效的齿接触分析，用于研究齿轮对准误差的模拟。已开发的具有滚动角表面的齿轮接触模型，在没有错位的情况下为齿轮副的齿面计算，表明能够很好地预测未对齐的齿轮副的接触性能。在这种方法中，三维齿面的接触曲线是从滚动角的表面有效地计算出来的，而齿面失配直接由齿轮齿面的瞬时位置和方向决定，不需要缓和地形. 后者为配置变化提供了更高的鲁棒性。最后，