一种新的直齿轮双样条修形齿面设计

A New Modification Method with Double Spline Curve for the Tooth Surface Design of Spur Gear

提出一种针对直齿轮的双样条修形方法,分别采用样条曲线来设计修形后齿面的齿廓线及齿向线,齿面由齿廓样条曲线沿齿向样条曲线扫掠得到。相对于传统复合修形,双样条修形方法的控制参数更多,使得齿面几何改变更灵活,并能实现全齿面点的更高阶次连续。通过有限元分析(FEA),对比分析了双样条修形的优越性,结果表明,双样条修形与传统复合修形相比,可以实现更高啮合性能的齿面设计,其中,啮合传递误差曲线和啮合刚度曲线更平缓,静态传递误差频谱幅值减小。通过加工实验和齿面精度检测,验证了双样条修形方法在齿轮实际加工中的可行性。研究表明,新提出的双样条修形方法是实现高性能直齿轮修形设计的一种有效方法。

A new tooth surface design is proposed to spur gears with a tooth surface modification defined by double spline curves,which are used to represent the tooth profile and longitudinal profile,respectively.The tooth surface is obtained by sweeping the tooth profile spline along the longitudinal profile spline.Compared to the traditional comprehensive modification,the tooth surface modification with double spline curves has more control variables,which makes the change of tooth surface geometry more flexible.Moreover,it can achieve the higher order continuity.Through the Finite Element Analysis(FEA),the advantages of double spline curves modification are analyzed by comparing it with traditional comprehensive modification.The comparison indicates it has superior meshing performances,including the smooth curves of both transmission error and meshing stiffness and decreased frequency amplitudes of static transmission errors.The manufacturing feasibility of the proposed design is also validated by the real machining and measurement.The results show that the proposed new tooth surface modification method is an advanced and practical technology to design high performance spur gear.