齿轮泵动态液压力的研究与分析
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摘要
为克服齿轮泵液压力静态计算方法的局限性和结果不精确,推导了过渡区起始角和终止角的动态计算式,建立了液压力分布式,积分出从动轮上动态液压力的计算式;并在三种结构下,就液压力的动态和静态计算结果,进行比较和分析。结果表明:进出口的夹角越小越好,所出现的55°和85°的阶梯临界点为进出口夹角的取值,提供了上下限依据,大高压区的结构能有效降低液压力,为后续泵轴的设计提供理论依据和参考。
In order to overcome the limitation and inaccurate results of radial force calculation by static calculation method for external gear pump,the dynamic calculation formula of starting arc angle and ending arc angle of transition partition were derived. And then an accurate fluid pressure distributed formula was built in transition partition,and the calculation formula of dynamic fluid force on the driven gear was derived by integral method; finally,under the three different kinds of structure style,the calculation results of static fluid force and dynamic fluid force were respectively compared and respectively analyzed each other. The results show that the arc angle of inlet and outlet were as small as possible,and the ladder tipping point of 55° and 85° could be provided as a theoretical basis for the upper and lower value of the arc angle of inlet and outlet. It is concluded that the dynamic fluid force is effectively reduced by the structure style with a larger arc angle of high pressure partition,and the study also provides a theoretical basis and reference for the subsequent shaft design.
In order to overcome the limitation and inaccurate results of radial force calculation by static calculation method for external gear pump,the dynamic calculation formula of starting arc angle and ending arc angle of transition partition were derived. And then an accurate fluid pressure distributed formula was built in transition partition,and the calculation formula of dynamic fluid force on the driven gear was derived by integral method; finally,under the three different kinds of structure style,the calculation results of static fluid force and dynamic fluid force were respectively compared and respectively analyzed each other. The results show that the arc angle of inlet and outlet were as small as possible,and the ladder tipping point of 55° and 85° could be provided as a theoretical basis for the upper and lower value of the arc angle of inlet and outlet. It is concluded that the dynamic fluid force is effectively reduced by the structure style with a larger arc angle of high pressure partition,and the study also provides a theoretical basis and reference for the subsequent shaft design.
引文
[1]Devendran R S,Vacca A.Optimal design of gear pumps for exhaust gas after treatment applications[J].Simulation Modeling Practice&Theory,2013,38(38):1-19.
[2]Osiński P,Deptua A,Partyka M A.Discrete optimization of a gear pump after tooth root undercutting by means of multi-valued logic trees[J].Archives of Civil&Mechanical Engineering,2013,13(4):422-431.
[3]Devendran R S,Vacca A.A novel design concept for variable delivery flow external gear pumps and motors[J].International Journal of Fluid Power,2014,15(3):121-137.
[4]李玉龙.外啮合齿轮泵困油机理、模型及试验研究[D].合肥:合肥工业大学,2009.(Li Yu-long.Mechanism,Modeling and Experiment Investigation of Trapped Oil in External Gear Pump[D].Hefei:Hefei University of Technology,2009.)
[5]Mucchi E,Dalpiaz G,Fernàndez del Rincòn A.Elastodynamic analysis of a gear pump.Part I Pressure distribution and gear eccentricity[J].Mechanical Systems and Signal Processing,2010,24(7):2160-2179.
[6]Mucchi E,Dalpiaz G,Rivola A.Elastodynamic analysis of a gear pump.Part II Meshing phenomena and simulation results[J].Mechanical Systems and Signal Processing,2010,24(7):2180-2197.
[7]Mucchi E,Dalpiaz G,.Elasto-dynamic analysis of a gear pump-Part IVImprovement in the pressure distribution modelling[J].Mechanical Systems and Signal Processing,2015,s50-51:193-213.
[8]P.Casoli,A.Vacca,G.Franzoni,M.Guidetti,Effects of some relevant design parameters on external gear pumps operating:numerical predictions and experimental investigations,in:6IFK Internationales Fluidtechnisches Kolloquium,Dreden,Germany,2008,31,(3-4).
[9]Fiebig W,Korzyb M.Vibration and dynamic loads in external gear pumps[J].Archives of Civil and Mechanical Engineering,2015,15(3):680-688.
[10]P.Casoli,A.Vacca,G.L.Berta,Optimization of Relevant design parameters of external gear pumps,in:Seventh JFPS International Symposium on Fluid Power,2008(9):15-18.
[11]B.Zardin,M.Borghi,F.Paltrinieri,M.Milani,About the prediction of pressure variation in the inter-theet volumes of external gear pumps,in:3rd FPNI-PhD Symposium on Fluid Power,2004,6(30).
[12]李玉龙.齿轮泵困油膨胀区的最小压力研究[J].排灌机械工程学报,2013,31(12):1049-1055.(Li Yu-long.The minimal trapped-oil pressure of expansion stage in external gear pump[J].Journal of Drainage and Irrigation Machinery Engineering,2013,31(12):1049-1055.)
[13]李玉龙,唐茂.困油压力对齿轮泵流量脉动的影响分析[J].农业工程学报,2013,29(20):60-66.(Li Yu-long,Tang Mao.Influence analysis of trapped oil pressure on flow pulsation in external gear pumps[J].Transactions of the Chinese Society of Agricultural Engineering(Transactions of the CSAE),2013,29(20):60-66.)
[14]李玉龙,刘春艳,王生.大侧隙外啮合齿轮泵的困油特性和流量特性[J].机械科学与技术,2015,34(3):545-458.(Li Yu-long,Liu Chun-yan,Wang Sheng.The trapped oil characteristics and flow characteristics with large backlash gap in external gear pumps[J].Mechanical Science and Technology for Aerospace Engineering,2015,34(3):545-458.)
[15]Mucchi E,Dalpiaz G,Rivola A.Influence of design and operational parameters on the dynamic behavior of gear pump[J].Meccanica,2011,46(6):1191-1212.
[16]Wang Shu,Sakurai H,Kasarekar A.The optimal design in external gear pumps and motors[J].IEEE/ASME Transactions on Mechatronics,2011,16(5):945-952.
[17]Tosi G,Mucchi E,Ippolito D.Dynamic behavior of pumps:an efficient approach for fast robust design optimization[J].Meccanica,2015,50(8):2179-2199
[18]那成烈.现代高压齿轮泵的径向卸载[J].兰州理工大学学报,1989,15(1):9-15.(Na Cheng-lie.Releasing of radial load in modern high-pressure gear pump[J].Journal of Lanzhou University of Technology,1989,15(1):9-15.)
[19]祝海林,宋培毅,邹旻.高黏度齿轮泵径向力的消除[J].中国塑料,2014,28(2):101-105.(Zhu Hai-lin,Song Pei-yi,Zou Min.Elimination of radial force in gear pump for high viscosities[J].China Plastics,2014,28(2):101-105.)
[20]马思宇,蒋泓,张辉.复合齿轮泵瞬时径向液压力的仿真研究[J].煤矿机械,2015,36(5):82-84.(Ma Si-yu,Jiang Hong,Zhang Hu.Instantaneous simulation of compound gear pump radial hydraulic pressure[J].Coal Mine Machinery,2015,36(5):82-84.)
[21]李玉龙,刘焜,王学军.齿轮泵扭矩计算的动态再现[J].农业机械学报,2006,37(3):142-144.(Li Yu-long,Liu Kun,Wang Xue-jun.Dynamic reappearance on torque calculation in a gear pump with external mesh[J].Transactions of the Chinese Society for Agricultural Machinery(Transactions of the CSAM),2006,37(3):142-144.)
[22]李玉龙,刘焜.考虑困油和卸荷的外啮合齿轮泵动态转矩计算[J].农业工程学报,2009,25(4):91-95.(Li Yu-long,Liu Kun.Calculation of dynamic torque acted on external gear pump considering relief groove and trapped oil pressure[J].Transactions of the Chinese Society of Agricultural Engineering,2009,25(4):91-95.)
[23]沙道航.外啮合齿轮泵径向力分析及其精确计算[J].西安工业大学学报,1990,10(4):65-70.(Sha Dao-hng.Analysis and exact computations on radial forces of gear pump[J].Journal of Xi’an Jiaotong University,1990,10(4):65-70.)
[24]赵光明.基于流场的外啮合齿轮泵径向力与困油压力的计算[D].兰州:兰州理工大学,2012.(Zhao Guang-ming.Radial force and trapped oil pressure calculation of external gear pump based on flow field[D].Lanzhou:Lanzhou University of Technology,2012.)
[25]冀宏,赵光明.基于流场的外啮合齿轮泵径向力计算[J].机床与液压,2013,41(7):1-4.(Ji Hong,Zhao Guang-ming.Radial force calculation of external gear pump based on flow field[J].Machine Tool&Hydraulics,2013,41(7):1-4.)
[26]Luan Zhen-hui.Research on synchronous gear pump[J].Journal of Coal Science&Engineering,2010,16(4):429-433.
[27]何存兴.液压元件[M].北京:机械工业出版社,1982.(He Cun-xing.Hydraulic Components[M].Beijing:China Machine Press,1982.)
[2]Osiński P,Deptua A,Partyka M A.Discrete optimization of a gear pump after tooth root undercutting by means of multi-valued logic trees[J].Archives of Civil&Mechanical Engineering,2013,13(4):422-431.
[3]Devendran R S,Vacca A.A novel design concept for variable delivery flow external gear pumps and motors[J].International Journal of Fluid Power,2014,15(3):121-137.
[4]李玉龙.外啮合齿轮泵困油机理、模型及试验研究[D].合肥:合肥工业大学,2009.(Li Yu-long.Mechanism,Modeling and Experiment Investigation of Trapped Oil in External Gear Pump[D].Hefei:Hefei University of Technology,2009.)
[5]Mucchi E,Dalpiaz G,Fernàndez del Rincòn A.Elastodynamic analysis of a gear pump.Part I Pressure distribution and gear eccentricity[J].Mechanical Systems and Signal Processing,2010,24(7):2160-2179.
[6]Mucchi E,Dalpiaz G,Rivola A.Elastodynamic analysis of a gear pump.Part II Meshing phenomena and simulation results[J].Mechanical Systems and Signal Processing,2010,24(7):2180-2197.
[7]Mucchi E,Dalpiaz G,.Elasto-dynamic analysis of a gear pump-Part IVImprovement in the pressure distribution modelling[J].Mechanical Systems and Signal Processing,2015,s50-51:193-213.
[8]P.Casoli,A.Vacca,G.Franzoni,M.Guidetti,Effects of some relevant design parameters on external gear pumps operating:numerical predictions and experimental investigations,in:6IFK Internationales Fluidtechnisches Kolloquium,Dreden,Germany,2008,31,(3-4).
[9]Fiebig W,Korzyb M.Vibration and dynamic loads in external gear pumps[J].Archives of Civil and Mechanical Engineering,2015,15(3):680-688.
[10]P.Casoli,A.Vacca,G.L.Berta,Optimization of Relevant design parameters of external gear pumps,in:Seventh JFPS International Symposium on Fluid Power,2008(9):15-18.
[11]B.Zardin,M.Borghi,F.Paltrinieri,M.Milani,About the prediction of pressure variation in the inter-theet volumes of external gear pumps,in:3rd FPNI-PhD Symposium on Fluid Power,2004,6(30).
[12]李玉龙.齿轮泵困油膨胀区的最小压力研究[J].排灌机械工程学报,2013,31(12):1049-1055.(Li Yu-long.The minimal trapped-oil pressure of expansion stage in external gear pump[J].Journal of Drainage and Irrigation Machinery Engineering,2013,31(12):1049-1055.)
[13]李玉龙,唐茂.困油压力对齿轮泵流量脉动的影响分析[J].农业工程学报,2013,29(20):60-66.(Li Yu-long,Tang Mao.Influence analysis of trapped oil pressure on flow pulsation in external gear pumps[J].Transactions of the Chinese Society of Agricultural Engineering(Transactions of the CSAE),2013,29(20):60-66.)
[14]李玉龙,刘春艳,王生.大侧隙外啮合齿轮泵的困油特性和流量特性[J].机械科学与技术,2015,34(3):545-458.(Li Yu-long,Liu Chun-yan,Wang Sheng.The trapped oil characteristics and flow characteristics with large backlash gap in external gear pumps[J].Mechanical Science and Technology for Aerospace Engineering,2015,34(3):545-458.)
[15]Mucchi E,Dalpiaz G,Rivola A.Influence of design and operational parameters on the dynamic behavior of gear pump[J].Meccanica,2011,46(6):1191-1212.
[16]Wang Shu,Sakurai H,Kasarekar A.The optimal design in external gear pumps and motors[J].IEEE/ASME Transactions on Mechatronics,2011,16(5):945-952.
[17]Tosi G,Mucchi E,Ippolito D.Dynamic behavior of pumps:an efficient approach for fast robust design optimization[J].Meccanica,2015,50(8):2179-2199
[18]那成烈.现代高压齿轮泵的径向卸载[J].兰州理工大学学报,1989,15(1):9-15.(Na Cheng-lie.Releasing of radial load in modern high-pressure gear pump[J].Journal of Lanzhou University of Technology,1989,15(1):9-15.)
[19]祝海林,宋培毅,邹旻.高黏度齿轮泵径向力的消除[J].中国塑料,2014,28(2):101-105.(Zhu Hai-lin,Song Pei-yi,Zou Min.Elimination of radial force in gear pump for high viscosities[J].China Plastics,2014,28(2):101-105.)
[20]马思宇,蒋泓,张辉.复合齿轮泵瞬时径向液压力的仿真研究[J].煤矿机械,2015,36(5):82-84.(Ma Si-yu,Jiang Hong,Zhang Hu.Instantaneous simulation of compound gear pump radial hydraulic pressure[J].Coal Mine Machinery,2015,36(5):82-84.)
[21]李玉龙,刘焜,王学军.齿轮泵扭矩计算的动态再现[J].农业机械学报,2006,37(3):142-144.(Li Yu-long,Liu Kun,Wang Xue-jun.Dynamic reappearance on torque calculation in a gear pump with external mesh[J].Transactions of the Chinese Society for Agricultural Machinery(Transactions of the CSAM),2006,37(3):142-144.)
[22]李玉龙,刘焜.考虑困油和卸荷的外啮合齿轮泵动态转矩计算[J].农业工程学报,2009,25(4):91-95.(Li Yu-long,Liu Kun.Calculation of dynamic torque acted on external gear pump considering relief groove and trapped oil pressure[J].Transactions of the Chinese Society of Agricultural Engineering,2009,25(4):91-95.)
[23]沙道航.外啮合齿轮泵径向力分析及其精确计算[J].西安工业大学学报,1990,10(4):65-70.(Sha Dao-hng.Analysis and exact computations on radial forces of gear pump[J].Journal of Xi’an Jiaotong University,1990,10(4):65-70.)
[24]赵光明.基于流场的外啮合齿轮泵径向力与困油压力的计算[D].兰州:兰州理工大学,2012.(Zhao Guang-ming.Radial force and trapped oil pressure calculation of external gear pump based on flow field[D].Lanzhou:Lanzhou University of Technology,2012.)
[25]冀宏,赵光明.基于流场的外啮合齿轮泵径向力计算[J].机床与液压,2013,41(7):1-4.(Ji Hong,Zhao Guang-ming.Radial force calculation of external gear pump based on flow field[J].Machine Tool&Hydraulics,2013,41(7):1-4.)
[26]Luan Zhen-hui.Research on synchronous gear pump[J].Journal of Coal Science&Engineering,2010,16(4):429-433.
[27]何存兴.液压元件[M].北京:机械工业出版社,1982.(He Cun-xing.Hydraulic Components[M].Beijing:China Machine Press,1982.)