顶隙系数、齿高系数等齿形参数是影响齿根过渡曲线形状的重要因素,而不同过渡曲线对应齿根弯曲承载能力不同。为了取得高弯曲承载能力,延长齿轮的使用寿命,从齿轮根部过渡曲线的刀具加工设计入手,分别考虑齿条型双圆弧刀顶、单圆弧刀顶,建立齿轮过渡曲线数学模型,确定齿根局部应力折截面计算模型,探究两种过渡曲线下高弯曲承载能力齿轮的齿高系数及顶隙系数最优变化范围,进而分析齿高系数、顶隙系数对齿根弯曲承载能力的影响,并用有限元对理论分析进行验证。研究表明:在特定的过渡曲线模型下选取合理的齿高系数及顶隙系数,齿根弯曲承载能力有较大提高,这为高弯曲强度齿轮设计提供理论依据。
Tooth shape parameters such as bottom clearance factor,addendum coefficient are important factors affecting the shape of fillet curve of gear root, and bending bearing abilities of gear root with different fillet curves are different. In order to acquire high bending bearing capacity and prolong the working life of gear, beginning with the processing and designing of the cutter of fillet curve, the cutting tool with single arc and the cutting tool with double arc are considered separately. Moreover, the mathematical model of gear fillet curves is built, and the computational model of folding section applied local stress of gear root is determined. The optimal variation range of bottom clearance factor and addendum coefficient of gear based on high bending bearing capacity under two fillet curves are investigated. Then the impact of addendum coefficient and bottom clearance factor on bending bearing capacity of gear root is analyzed and the theoretical analyses are validated by the finite element method. According to the research, choosing reasonable addendum coefficient and bottom clearance factor under specific fillet curve model can enhance bending bearing capacity of gear root largely, which provides theoretical foundation for the designing of gear with high bending strength.