圆弧齿形单螺杆式水力机械的啮合原理及应用

分析用于单螺杆式水力机械的圆弧齿形成形原理,阐述求共轭齿形曲线的内滚包络法和齿廓法线法,提出圆弧齿形的定转子断面面积、过流面积的计算方法,用圆弧齿形进行采油用螺杆泵实例设计;同时对该实例进行容积效率预测。结果表明:提出的原始齿形曲线的设计方案和数学方程正确可用,圆弧齿形不仅齿形简单且曲率容易控制,对设计加工制造很有利;三头采油用圆弧齿形螺杆泵在设计压差下容积效率超过97%,能够满足设计要求。

Meshing theory and application of single screw hydraulic machinery with arc tooth profile

The forming theory of arc tooth profile used in single screw hydraulic machinery was analyzed. The inside rolling envelope method and the tooth profile normal line method were used to solve the formula of conjugate tooth profile. The flow area and sectional areas of rotor and stator were analyzed. A prototype screw pump using arc tooth profile was designed. The volumetric efficiency of the prototype was predicted. The results show that the proposed design scheme and mathematical formulas of original tooth profile are feasible and correct. The arc tooth profile is very simple and the curvature is easy controlled, it is very beneficial for the design, processing and manufacturing. For the three heads screw pump with arc tooth profile, its volumetric efficiency under the designed pressure difference remains to be above 97%, and it can meet the design requirements.