The dynamic model of 12-degrees-of-freedom for spur gears pair accounting for nonlinear time-varying stiffness, damping, and coefficient of friction along the path of contact obtained from experimental tests is investigated. The Newmark's integration method is used to solve the equations and obtain the dynamic responses. Elementary mass, stiffness, and damping matrices with torsional and translational coupled effects were detailed. The lens of this work is to start from a nonlinear dynamic model to evaluate the influence of dynamic effects and lubrication on meshing gears power loss for different spur gear geometries within various operating conditions. The results reveal some useful references to vibration control, dynamic design, and efficiency improvement.

中文翻译：

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轴齿轮油润滑对正齿轮副功率损失的动态影响

研究了正齿轮副的 12 自由度动态模型，该模型考虑了从实验测试获得的沿接触路径的非线性时变刚度、阻尼和摩擦系数。纽马克积分法用于求解方程并获得动态响应。详细介绍了具有扭转和平移耦合效应的基本质量、刚度和阻尼矩阵。这项工作的目标是从非线性动态模型开始，以评估动态效应和润滑对不同工作条件下不同正齿轮几何形状的啮合齿轮功率损耗的影响。结果为振动控制、动态设计和效率提高提供了一些有用的参考。