渐开线转子密封用宽顶的型线构造研究
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摘要
为实现渐开线转子的高性能设计,基于4种可能的顶结构,从型线参数化、形状系数上限、容积利用系数、尺寸优化等7个方面,构建转子的高性能型线。然后,以转子轻量化为目标,构建优化模型。最后就闭气现象,给出型线上的创新方法。结果表明,顶宽兼顾了容积利用系数和圆弧密封长度最大化的高性能需求;谷避让圆弧能有效消除闭气现象,降低加工成本;形状系数和容积利用系数与顶半角具有近似的负线形相关等。为其他类型线的顶宽结构,提供一种优化设计与全参数造型的方法。
To realize the higher performance design of involute rotor,based on four possible top structure,from seven aspects of profiles parameterization,the limit value of shape coefficient,volume utilization coefficient,size optimization and so on,the higher performance profiles with wide top for high-sealing zone is finally constructed.Then,from lightweight of rotor as design object,the optimization model is constructed.Finally,an innovative configuration of profiles is given to eliminate trapped-gas phenomenon.All results show that the innovative profiles is meet high performance requirement for maximizing volume utilization coefficient and minimizing radial top leakage.The trapping-gas phenomenon is eliminated better by the new avoid-arc,which is easy machined.The shape coefficient or volume utilization and top half angle have approximately negative linear correlation,etc.It is concluded that the full parametric modeling and design method can be used for other rotor profiles with radial high-sealing zone.
To realize the higher performance design of involute rotor,based on four possible top structure,from seven aspects of profiles parameterization,the limit value of shape coefficient,volume utilization coefficient,size optimization and so on,the higher performance profiles with wide top for high-sealing zone is finally constructed.Then,from lightweight of rotor as design object,the optimization model is constructed.Finally,an innovative configuration of profiles is given to eliminate trapped-gas phenomenon.All results show that the innovative profiles is meet high performance requirement for maximizing volume utilization coefficient and minimizing radial top leakage.The trapping-gas phenomenon is eliminated better by the new avoid-arc,which is easy machined.The shape coefficient or volume utilization and top half angle have approximately negative linear correlation,etc.It is concluded that the full parametric modeling and design method can be used for other rotor profiles with radial high-sealing zone.
引文
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[15]张帅,宋爱平,田德云,等.罗茨泵转子的轮廓型线设计及仿真[J].机械传动,2014,38(3):91-93.
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[19]任跃军,俞玲华,尹宇兴.圆弧-泛摆线齿轮油泵及其在罗茨泵上的应用[J].真空,2004,41(2):41-44.
[20]HSIEH C F,HWANG Y W.Tooth profile of a Roots rotor with a variable trochoid ratio[J].Mathematical and Computer Modelling,2008,48(1):19-33.
[21]HSIEH C F,DENG Y C.A design method for improving the flow characteristics of a multistage Roots pumps[J].Vacuum,2015,121:217-222.
[22]WANG J,CUI D,PANG X,et al.Geometric design and performance analysis of a novel smooth rotor profile of claw vacuum pumps[J].Vacuum,2017,143:174-184.
[23]李玉龙,冉光泽,张宸赫.渐开线转子型线的参数化与最优化研究[J].成都大学学报(自然科学版),2017(4):398-401.
[2]WANG J,CUI D,PANG X,et al.Geometric design and performance analysis of a novel smooth rotor profile of claw vacuum pumps[J].Vacuum,2017,143:174-184.
[3]LITVIN F L,FENG P H.Computerized design and generation of cycloidal gearings[J].Mechanism and Machine Theory,1996,31(7):891-911.
[4]MIMMI G,PENNACCHI P.Analytical model of a particular type of positive displacement blower[J].Journal of Mechanical Engineering Science,1999,213(5):517-526.
[5]MIMMI G C,PENNACCHI P E.Involute Gear Pumps Versus Lobe Pumps:A Comparison[J].Journal of Mechanical Design,1997,119(4):458-465.
[6]WANG P Y,FONG Z H,FANG H S.Design constraints of five-arc Roots vacuum pumps[J].Journal of Mechanical Engineering Science,2002,216(2):225-234.
[7]HSIEH C F,DENG Y C.A design method for improving the flow characteristics of a multistage Roots pumps[J].Vacuum,2015,121:217-222.
[8]LIU H C,TONG S H,YANG D C H.Trapping-free rotors for highsealing lobe pumps[J].Journal of Mechanical Design,2000,122(4):536-542.
[9]TONG S H,YANG D C H.On the generation of new lobe pumps for higher pumping flowrate[J].Mechanism and Machine Theory,2000,35(7):997-1012.
[10]TONG S H,YANG D C H.Rotor Profiles Synthesis for Lobe Pumps With Given Flow Rate Functions[J].Journal of Mechanical Design,2005,127(2):287-294.
[11]HWANG Y W,HSIEH C F.Study on high volumetric efficiency of the Roots rotor profile with variable trochoid ratio[J].Journal of Mechanical Engineering Science,2006,220(9):1375-1384.
[12]HSIEH C F,HWANG Y W.Study on the High-Sealing of Roots Rotor With Variable Trochoid Ratio[J].Journal of Mechanical Design,2007,129(12):1278-284.
[13]秦丽秋,刘玉岱.罗茨泵圆弧转子型线研究[J].真空,1990(1):32-39.
[14]李海洋,赵玉刚,胡柳,等.渐开线型罗茨真空泵转子型线的改进研究[J].机床与液压,2011,39(22):37-39.
[15]张帅,宋爱平,田德云,等.罗茨泵转子的轮廓型线设计及仿真[J].机械传动,2014,38(3):91-93.
[16]杨常青.三级罗茨泵直腰茧形转子型线的研究[J].真空,1986(6):8-13.
[17]麻刚斗.罗茨饲喂泵设计与数值模拟[D].呼和浩特:内蒙古农业大学,2016:12-14.
[18]朱超颖,林景殿,苏中地.一种新罗茨转子型线的构成方法[J].真空科学与技术学报,2015,35(12):1449-1452.
[19]任跃军,俞玲华,尹宇兴.圆弧-泛摆线齿轮油泵及其在罗茨泵上的应用[J].真空,2004,41(2):41-44.
[20]HSIEH C F,HWANG Y W.Tooth profile of a Roots rotor with a variable trochoid ratio[J].Mathematical and Computer Modelling,2008,48(1):19-33.
[21]HSIEH C F,DENG Y C.A design method for improving the flow characteristics of a multistage Roots pumps[J].Vacuum,2015,121:217-222.
[22]WANG J,CUI D,PANG X,et al.Geometric design and performance analysis of a novel smooth rotor profile of claw vacuum pumps[J].Vacuum,2017,143:174-184.
[23]李玉龙,冉光泽,张宸赫.渐开线转子型线的参数化与最优化研究[J].成都大学学报(自然科学版),2017(4):398-401.