转子泵容积利用系数的通用计算模型  

General calculation model of effective volume utilization coefficient for rotor pumps

作　　者：李玉龙 臧勇[1] 赵岩[1] 李秀荣[1] LI Yulong;ZANG Yong;ZHAO Yan;LI Xiurong(School of Mechanical and Electrical Engineering,Suqian College,Suqian,Jiangsu 223800,China)

机构地区：[1]宿迁学院机电工程学院,江苏宿迁223800

出　　处：《排灌机械工程学报》2021年第2期116-121,共6页Journal of Drainage and Irrigation Machinery Engineering

基　　金：宿迁市“千名领军人才集聚计划”项目(2019JJ090);宿迁市科技计划项目(自然科学基金)(K201924);宿迁学院高层次人才资助项目(201805);宿迁学院校级重点项目(2016KY09);宿迁学院创新团队项目(2021td07)。

摘　　要：为构建适用于各类外啮合转子泵容积利用系数的通用计算模型,首先,针对能减少径向泄漏的一类宽顶转子,给出通用轮廓构造和关于瞬心半径的轮廓方程;其次,基于一对结构与尺寸完全相同的转子副,通过分析其处于最小余隙位置的几何关系,逐步推导出共轭截面积、容积利用系数关于瞬心半径的精确计算公式;最后,以摆线转子进行实例验证.结果表明:有效截面积由转子自身固有截面积和最小余隙附加截面积2部分构成,也可分为占比很小的动态共轭截面积和占比很大的静态节圆截面积,其中,瞬心半径是影响共轭截面积的唯一因素.叶数、起始法向角和叶顶角是影响有效容积利用系数的3个独立参数:叶数越大,有效容积利用系数越小;起始法向角越大,有效容积利用系数越大;叶顶角越大,有效容积利用系数越小.叶顶角对有效容积利用系数的影响很小,有利于降低径向泄漏.有效容积利用系数的通用计算模型为转子泵的进一步研究提供了理论基础.To construct a general model suitable for calculating volume utilization coefficient(VUC)of all kinds of external meshing rotor pump,first,for one type of rotor with wide-top which could reduce radial leakage,the general profile structure and profile equation with change in instantaneous center radius were given;secondly,based on a rotor pair with exactly the same structure and size,and the geometric relationship of the rotor pair in minimum clearance position,the accurate calculation formula of conjugated cross-section area and VUC with instantaneous center radius was derived step by step;finally,the cycloid rotor was used as an example for verification and analysis.The results show that effective cross-section area has two parts:inherent cross-section area of rotor itself and minimum clearance additional cross-section area of rotor pair.It can also be divided into smaller dynamic conjugated cross-section area affected only by instantaneous center radius and larger static pitch circle cross-section area.Lobe number,initial normal angle and addendum angle are three independent parameters which affect effective VUC.The larger the lobe number,the smaller the effective VUC is;the larger the initial normal angle,the larger the effective VUC is;the larger the addendum angle,the smaller the effective VUC is.The addendum angle has a little effect on the effective VUC,which is beneficial to reduce radial leakage.The general calculation model of effective VUC can provide theoretical basis for further research on rotor pumps.

关 键 词：泵 转子 容积利用系数 形状系数 附加截面积 共轭截面积 瞬心半径 

分 类 号：TH325[机械工程—机械制造及自动化] S277.9[农业科学—农业水土工程]