刘萍,李玉龙,张安民,赵岩
LIU Ping,LI Yulong,ZHANG Anmin,ZHAO Yan

• 1:宿迁学院

摘要(Abstract)：

为实现容积充分利用和更小内泄漏的罗茨泵轻量化目的，创新提出内共轭轮廓采用节弦高的普通型和高形型两类转子，并依据单一转子上各轮廓间的双对称几何关系，构建出创新转子的全共轭轮廓方程和容积利用系数式。结果表明：普通型创新转子比现有转子具有更大的容积利用系数，高形型将使之进一步最大化，3叶时分别提高了1.56%、13.21%，且转子加工相对简单；高形型的2～5个共轭点和平-凸共轭模式能使共轭泄漏最小化，径向等缝隙密封能使径向泄漏最小化等。得出高形型创新转子为一款具有更大容积利用和更小内泄漏的高能转子。
In order to achieve lightweighting of Roots pumps with full utilization of rotor volume and smaller internal leakage，the ordinary-profile and tall-profile of Roots rotors with chord height of pitch arc as inner conjugate profile segment were firstly proposed innovatively；from geometric relations of double symmetry between each profile segment on a single rotor，full conjugate profile equation of innovative rotor was constructed，and following calculation formula of volume utilization factor was derived.The results show that the innovative rotor with ordinary-profile has a higher volume utilization factor than all existing rotors，which would be further maximized by its tall-profile，and is increased by 1.56% and 13.21% respectively under 3 lobes，at the same time，the innovative rotor processing is relatively simple；plane-convex conjugate advantage and 2～5 conjugate points of the innovative rotor with tall-profile can minimize conjugate leakage，and radial equal gap can minimize radial leakage，etc.It is concluded that the innovative rotor with tall-profile is a high-performance rotor with full utilization of rotor volume and smaller internal leakage.

关键词(KeyWords)： 罗茨转子;半叶节弦高;形状系数;容积利用系数;高形转子;双对称构造方法
roots rotor;chord height of pitch arc;shape coefficient;volume utilization factor;tall-profile rotor;construction method with double symmetry axis

Abstract:

Keywords:

基金项目(Foundation): 宿迁市“千名领军人才集聚计划”项目;; 宿迁市科技计划项目(K201924)(Z2020136);; 宿迁学院校级重点项目(2016KY09);宿迁学院创新团队项目(2021td07);宿迁学院高层次人才引进项目

作者(Author): 刘萍,李玉龙,张安民,赵岩
LIU Ping,LI Yulong,ZHANG Anmin,ZHAO Yan

参考文献(References)：

• [1]刘厚根，李成佳，敖方源，等.罗茨机械增压器渐开线型转子型线的改进研究[J].流体机械，2013，41(8)：48-52.LIU H G，LI C J，AO F Y，et al.Improvement study on involute profile of roots mechanical supercharger rotors[J].Fluid Machinery，2013，41(8)：48-52.
• [2]刘萍.空天用泵轻量化的齿廓逆向设计方法及高形技术[J].流体机械，2020，48(7)：33-37.LIU P.Reverse design method of involute profile and further higher shape technology for lightweight gear pumps equipped in spacecraft[J].Fluid Machinery，2020，48(7)：33-37.
• [3]刘萍.平-凸罗茨转子的高形化及轻量化研究[J].真空科学与技术学报，2020，40(5)：400-404.LIU P.Novel high shape rotor with flat-convex profile for lightweight roots-pump：an analytical study[J].Chinese Journal of Vacuum Science and Technology，2020，40(5)：400-404.
• [4]李玉龙，孙付春，姚旗，等.航天器用超低黏度齿轮泵轻量化设计[J].农业工程学报，2016，32(21)：109-114.LI Y L，SUN F C，YAO Q，et al.Lightweight design of gear pumps with ultra low viscosity medium used in spacecraft[J].Transactions of the Chinese Society of Agricultural Engineering(Transactions of the CSAE)，2016，32(21)：109-114.
• [5]李玉龙，张丽，王玲娟，等.顶旋泵轻量化转子的型线构造及性能分析[J].流体机械，2020，48(5)：44-48.LI Y L，ZHANG L，WANG L J，et al.Profile shaped-construction and performance analysis of lightweight rotor in epitrochoidal lobe pump[J].Fluid Machinery，2020，48(5)：44-48.
• [6]李玉龙，张丽，李秀荣，等.共轭转子的顶径对泵容积效率最大化的影响分析[J].真空科学与技术学报，2020，40(1)：23-26.LI Y L，ZHANG L，LI X R，et al.Impact of top-radius of conjugate rotor on volume efficiency optimization of roots pump[J].Chinese Journal of Vacuum Science and Technology，2020，40(1)：23-26.
• [7]李玉龙，臧勇，赵岩，等.转子泵容积利用系数的通用计算模型[J].排灌机械工程学报，2021，39(2)：116-121.LI Y L，ZANG Y，ZHAO Y，et al.General calculation model of effective volume utilization coefficient for rotor pumps[J].Journal of Drainage and Irrigation Machinery Engineering(JDIME)，2021，39(2)：116-121.
• [8]李玉龙.一种具有高有效容积率的椭圆弧型罗茨泵转子：CN109630409B[P].2020-09-01.LI Y L.An ellipsoid circular arc rotor of roots pump with high effective volume ratio：CN109630409B[P].2020-09-01.
• [9]李玉龙.具有顶密封凸台和外偏心主圆弧的泵用转子：CN209654228U[P].2019-11-19.LI Y L.Roots rotor with top seal boss and external eccentric main arc：CN209654228U[P].2019-11-19.
• [10]杨向莙，孙付春.泵用转子共轭型线段的通用求解模型研究[J].真空科学与技术学报，2019，39(8)：667-671.YANG X J，SUN F C.Universal solution to conjugated profiles of roots-pump rotor：a theoretical study[J].Chinese Journal of Vacuum Science and Technology，2019，39(8)：667-671.
• [11]刘萍，李玉龙.罗茨转子取得最大形状系数的通用判据研究[J].真空科学与技术学报，2020，40(2)：124-127.LIU P，LI Y L.General criteria for maximum shape-factor of roots pump rotor：a methodological study[J].Chinese Journal of Vacuum Science and Technology，2020，40(2)：124-127.
• [12]单凯凌，唐春，景玲.摆线泵齿顶间隙设计及其对流量脉动的影响试验[J].机械研究与应用，2019，32(6)：15-16.SHAN K L，TANG C，JING L.Design of gear top clearance for cycloid gear pump and study for its influence on the flow pulsation[J].Mechanical Research & Application，2019，32(6)：15-16.
• [13]杨向莙，孙付春.椭圆弧凸转子的型线构造及进一步高形技术[J].机械传动，2020，44(1)：163-167.YANG X J，SUN F C.Profile shaped-configuration of convex ellipse rotor and its following high-shape technology[J].Journal of Mechanical Transmission，2020，44(1)：163-167.