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基于集中质量法建立了弧齿锥齿轮8自由度弯-轴-扭三维空间动力学模型。模型中考虑了啮合刚度的时变性、几何传递误差的非线性、齿轮副间隙及轴承刚度的非线性。利用齿面接触分析与齿面承载接触分析求出几何传递误差与轮齿综合啮合刚度,利用轴承变形理论求出系统非线性支承刚度,使用Runge-Kutta法对传动系统进行动态响应求解,并研究了这些因素对弧齿锥齿轮振动的影响。结果表明:几何传递误差是影响齿轮振动的最主要因素,由啮合刚度变化引起的一系列振动受转速与负载的影响较大。
Based on the Centralized Mass Method, a three - dimensional DOF Bend - Axis - Torsional Dynamic Model for a Spiral Bevel Gear is established. The model takes into account the time-varying stiffness of the meshing, the nonlinearity of the geometric transmission error, the clearance of the gear pair and the nonlinearity of the bearing stiffness. Using the contact analysis of tooth surface and the contact analysis of tooth surface, the geometrical transmission error and gear meshing stiffness are calculated, and the nonlinear stiffness of the system is calculated by the bearing deformation theory. The dynamic response of the transmission system is solved by Runge-Kutta method. The influence of these factors on the vibration of spiral bevel gear. The results show that the geometric transmission error is the most important factor affecting the gear vibration. The series of vibration caused by the variation of the meshing stiffness are greatly affected by the rotation speed and the load.