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Fault-tolerant design of automotive gearing: the reference case for modified aligned and misaligned spur and helical gears
- 【作者】
- Christos Spitas
- 【单位】
- University of Nottingham, Ningbo, China
- 【摘要】
- Automotive gearing, a fundamental aspect of power transmission in vehicles, plays a critical role in ensuring optimal performance, comfort and efficiency. However, the mass production of automotive gears necessitates the incorporation of fault-tolerant design principles. This is particularly essential due to the inherent sensitivity of automotive gearing to misalignments, errors, and deviations. Moreover, to accurately assess the tooth contact condition of automotive gearing, the utilization of the well-known tooth contact analysis (TCA) method is essential. In this study, we undertake an independent reproduction of the gear TCA model initially introduced by Litvin [1] and further refined in subsequent decades through collaborative efforts [2-8]. Our investigation highlights an inherent challenge in the model's stability, specifically regarding the convergence of numerical solutions, which significantly relies on the accurate selection of "guess values." We illustrate this by examining the simplest scenario of parallel-axis gears, incorporating arbitrary adjustments and misalignments. Two key observations are brought to attention: firstly, certain authors have acknowledged numerical convergence issues within their methodologies [9,10], and secondly, there is a prevalent trend towards the utilization of "local synthesis" in other works, even in light of existing problems with this method [11-18]. It is demonstrated from basic principles that the fundamental surface parameterization by Litvin, while mathematically correct, is computationally flawed. This work aims to rectify any misconceptions about the current state of the art, factually acknowledging both the merits and the shortcomings of what is currently considered as established and unassailable, and thus help open up the path towards further improvement of gear TCA theory.
- 【关键词】
- tooth contact analysis; local synthesis; numerical convergence
- 【论文集名称】
- 【会议名称】
- 2023先进汽车动力系统国际学术会议
- 【会议时间】
- 2023-11-10至2023-11-12
- 【会议地点】
- 天津
- 【下载次数】
- 3