斜齿轮动力学建模中啮合刚度处理与对比验证

为准确建立斜齿轮动力学模型，更好分析斜齿轮系统振动特性，提出基于轮齿承载接触分析、考虑齿轮轴扭转变形的轮齿啮合刚度计算方法。分析国内文献普遍采用的基于啮合刚度分解建立斜齿轮动力学模型，指出其与理论力学相悖之处，提出基于力、振动位移分解法建立综合考虑时变啮合刚度激励、啮入冲击激励的斜齿轮啮合型弯-扭-轴耦合振动模型。以某斜齿轮副为例进行的仿真计算结果表明，基于承载接触分析的轮齿啮合刚度计算方法能准确、方便求得轮齿啮合刚度，文献8]动力学响应结果与理论实际存在明显差别，而基于力、振动位移分解法的响应则能与理论实际较好吻合。

The treatment and contrast verification of meshing stiffness in helical gear dynamic model

In order to accurately establishing helical gear dynamic model, and well knowing vibration characteristics of helical gear system, meshing stiffness calculation method is put forward based on load tooth contact analysis and considering shaft torsional deformation. Analyzing the helical gear dynamics models established by the decomposition of the mesh stiffness in major domestic literature, and illustrating it’s violation of theoretical mechanics. Based on decomposition of the force and vibration displacement, helical gear vibration model is established consdering meshing stiffness excitation and corner mesh impact excitation. Take the helical gear transmission system as an example, the results consistently indicate that the method based load tooth contact analysis can easily and accurately calculate the teeth meshing stiffness. The dynamic response of literature8] are significantly different from theory of actual. The results based on decomposition of the force and vibration displacement are good agreement with the theoretical actual.