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设计泵用斜齿轮时,其液压性能是以流率乘以有效工作效率来定义的,它是确定齿轮泵工作性能的最重要的因素。在先前的文献中,几乎都是从几何直观上来考虑数学模式,其分析方法是不完善的。本文全面地研究了齿面的优化设计。表明了在平行轴间齿轮啮合微分方程中,选择一特殊参数x(y),可得到优化液压性能。x(y)为齿形特性函数,且x(y)=dφ/d(x/R),其中,φ是工作轮的旋转角,R是两节圆之公共半径,x、y是横截齿轮轴线平面中的坐标。
When designing pump helical gears, the hydraulic performance is defined as the flow rate multiplied by the effective operating efficiency, which is the most important factor in determining the performance of the gear pump. In the previous literature, mathematical models were almost always considered geometrically and intuitively, and their analytical methods were imperfect. In this paper, a comprehensive study of the tooth surface optimization design. It shows that selecting a special parameter x (y) in the gear meshing differential equation between parallel axes can obtain the optimized hydraulic performance. x (y) is the tooth profile function and x (y) = dφ / d (x / R), where φ is the rotation angle of the working wheel, R is the common radius of the two circles, x and y are cross- Coordinates in the gear axis plane.