一种确定斜齿轮传递误差和啮合刚度的快速有效方法

摘要

An efficient method for predicting the transmission error and mesh stiffness of helical gears was presented based on the thin slice theory proposed by Smith.A helical gear was divided into a series of independent thin spur gears along the tooth width.The bending-shearing deformation and local contact deformation of each single slice and the gear body deformation were taken into account in this model.Meanwhile,a loaded contact model was built through the deformation compatibility between different slices.Then,the load distribution on tooth surface,transmission error and mesh stiffness were calculated.The time varying single tooth stiffness,the nonlinear effect of loaded contact deformation and gear body effects were additionally considered,comparing with the Smith’ s thin slice method,which increases the accuracy and applicability.The higher computational efficiency of the proposed method than the finite element method with the same accuracy makes it more suitable for fast prediction of the vibrations and noises of gear systems.%基于Smith切片法理论,提出了一种快速计算斜齿轮副传递误差和啮合刚度的改进方法.该模型将斜齿轮沿齿宽方向划分为一系列相互独立的薄直齿轮,考虑单个切片的弯曲-剪切变形、局部接触变形及轮体结构变形,通过各切片间的变形协调关系建立斜齿轮非线性承载接触模型,进而得到齿面载荷分布、传递误差和啮合刚度等信息.该方法较Smith切片法增加了时变单齿刚度、接触变形非线性效应以及轮体结构参数的影响,提高了模型的计算精度和适用性.该模型的计算精度与有限元方法相当,但具有更高的计算效率,更适合于齿轮传动系统振动和噪声的快速预测.