直齿行星传动齿轮修形优化设计方法

An optimum design method for profile modification of spur planetary gear trains

针对多个行星轮均布的大功率直齿行星传动系统,提出了优化齿轮修形参数的设计方法.取其中一路子系统建模,应用位移约束方程建立局部太阳轮边界位移协调关系,简化了有限元分析模型.为提高齿轮有限元模型的齿廓几何逼近精度,降低齿轮有限元规模,提高非线性接触分析的求解精度和效率,建立了齿轮接触区细化单元节点位移耦合模型.提出直齿轮修形齿面快速精确有限元建模方法,采用修形函数控制渐开线发生线长度修改齿面上的节点坐标,实现修形齿面快速精确重构,以齿面应力分布均匀为主要目标,迭代求解修形齿轮应力分布优化了齿轮修形参数.

A method is proposed to optimize gear modification for a spur planetary gear train with equal spaced planets at high power. In order to simplify the finite element model, a sub-system model with one-planet gear in the planetary system is set up, in which the displacement compatibility of the two boundaries on the part sun gear is determined by applying displacement constraint equations to the corresponding nodes at each side. Local refined elements coupling with the adjacent elements near the contact zone are modeled in order to improve the approximation precision of a profile, reduce the size of the finite element model and improve the solution efficiency and precision of the nonlinear contact analysis. A rapid and precise modeling approach of FEA for spur gear modification is presented. The reconstruction of the modified tooth surface is achieved by changing the nodes＇ coordinates on the tooth surface according to the modification function. The parameters of the modified gear are optimized by iteratively solving stress distribution taking uniform stress as the main objective.