Release of metal debris from a pair of gear teeth is a consequence of their contact. Any excessive metal debris can lead to the onset of fatigue and failure. This paper aims to derive a contact mechanics-based model to obtain the energy absorption of helical gear teeth. The proposed model includes the roughness effect of teeth contact surfaces. The mean value of the asperity summit curvature, the standard deviation of the asperity height distribution and the area density of the asperity height distribution are the three statistical parameters that describe the micron-scale surface roughness. An explicit approximation is obtained to relate the contact load and the minimum surface separation and to estimate the energy loss. Then an analytical expression is derived for the plastic energy dissipation per cycle as a function of plasticity index for gear teeth. The proposed function can be applied in the design of gears by engineers and manufacturers. Additionally, a pertinent lumped mass at the area of interaction is assumed to describe the contact frequency and damping ratio using a nonlinear dynamic model.

金属碎屑从一对齿轮齿中释放是它们接触的结果。任何过量的金属碎片都会导致疲劳和故障的发生。本文旨在推导基于接触力学的模型以获得斜齿轮齿的能量吸收。所提出的模型包括牙齿接触表面的粗糙度影响。凹凸峰曲率的平均值，凹凸高度分布的标准偏差和凹凸高度分布的面积密度是描述微米级表面粗糙度的三个统计参数。得到了一个明确的近似值，将接触负载与最小表面间距相关联，并估计了能量损失。然后得出一个解析表达式，表示每个周期的塑性能量消耗与齿轮可塑性指标的关系。提议的功能可以由工程师和制造商应用于齿轮设计中。另外，假定在相互作用区域的相关集总质量使用非线性动力学模型描述接触频率和阻尼比。