Transfer of the local calculation method of the tooth root load carrying capacity of beveloid gears onto an industrial application with crossing axes

锥面齿轮可用于平行、交叉和斜轴。工业应用，特别是在汽车工业中，使用十字形或倾斜轴的斜面齿轮。目前，已经有了锥面齿轮齿根承载能力的计算方法。该技术的状态还包括计算方法的齿根应力的斜齿轮与交叉或歪斜轴。考虑到局部材料和应变特性、齿面几何形状以及加工偏差和公差等因素，目前还没有一种行之有效的斜轴或交叉轴斜齿锥齿轮齿根承载能力的计算方法。因此，上述dfg项目“一种计算锥面齿轮齿根承载能力的方法的开发与验证”的结果应转移到具有交叉轴的工业应用中，并适用于交叉轴和弯曲轴。因此，未使用的设计潜力的锥面齿轮可以用来改善操作行为和降低制造成本。基于局部方法，可以确定齿轮几何所需的公差场。该研究项目的目标是开发和应用一种经过验证的、工业适用的方法，用于优化具有交叉轴的斜面齿轮的齿轮几何形状和制造公差，以提高齿根承载能力。该方法能够在考虑制造偏差（扭转）的情况下预测牙根承载能力。研究结果为齿轮行业设计工程师在齿根承载能力的基础上确定最优的锥面齿轮几何形状提供了一种方法。该方法应包含所有重要的影响，例如制造偏差对牙根承载能力的影响。基于该方法，考虑所有制造偏差的齿根承载能力优化是可能的。局部计算方法和实验结果可用于增强标准参考，从而改进工业设计过程，帮助寻找齿根承载能力的最佳齿轮设计。从而避免了在牙根承载能力方面的过度设计和设计失败。

Beveloid gears can be used with parallel, crossing and skewed axes. Industrial applications, especially in the automobile industry, use beveloid gears with crossing or skewed axes. Today, calculation methods of the tooth root carrying capacity of beveloid gears exist. The state of the art also includes calculation methods for the tooth root stress of beveloid gears with crossing or skewed axes. Up till today, no validated calculation method exists for the tooth root load carrying capacity of beveloid gears with crossing or skewed axes with consideration of the local material and strain properties, the gear flank geometry as well as the manufacturing deviations and tolerances. Therefore, the results of the preceding DFG-project "Development and Verification of a method for calculation the tooth root load carrying capacity of beveloid gears" should be transferred to an industrial application with crossing axes and made applicable for crossing and skewed axes. Thus, unused design potential for beveloid gears can be used in order to improve the operational behavior and reduce the manufacturing costs. Based on the local approach necessary tolerance fields for the gear geometry can be defined.The objective of the research project is to develop and apply a validated, industry applicable method for optimizing the gear geometry and manufacturing tolerances for beveloid gears with crossing axes in order to enhance the tooth root load carrying capacity. The method is able to predict the tooth root load carrying capacity with consideration of manufacturing deviations (twist). The result of the research project is a method which helps the design engineer in the gear industry to find the optimal gear geometry of beveloid gears regarding the tooth root load carrying capacity. The method should imply all the significant effects, e.g. manufacturing deviations, onto the tooth root load carrying capacity. Based on the method an optimization of the tooth root load carrying capacity with consideration of all manufacturing deviations is possible. The results of the local calculation approach and the experiments can be used to enhance the standard reference and therefore, improve the industrial design process and help finding the optimal gear design regarding the tooth root load carrying capacity. Thus, over-engineering and failed design regard the tooth root load carrying capacity can be avoided.