混合遗传算法下内啮合齿轮泵齿型参数优化
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摘要
为减小内啮合齿轮泵的流量脉动,改善泵的工作性能,以PGH型渐开线内啮合齿轮泵为研究对象,建立该齿轮泵的流量脉动率和齿型参数的数学模型,分析外齿圈和内齿轮满足不同啮合关系时的瞬时流量,并依此建立优化模型;构建一种在传统遗传算法基础上改进并融合小生境运算的混合遗传算法,对分度圆压力角、变位系数、齿顶高系数等齿型参数进行优化,使得求解速度加快同时保持较好的收敛性,通过优化求解,得到了流量脉动率最低的PGH型渐开线内啮合齿轮泵齿型参数;计算结果表明:在满足结构要求和合理传动等条件下,经该方法优化后,内啮合齿轮泵的流量脉动率减小了7.27%,实现了内啮合齿轮泵降低流量脉动的目的.
In order to reduce the internal gear pump flow pulsation and increase the efficiency of gear pump, this paper established the gear pump flow pulsation rate and the mathematical model of tooth shape parameters, and analyzed the instantaneous flow rate of outer ring gear and internal gear when different meshing relationship is satisfied. A traditional genetic algorithm based on improved niche operation and fusion hybrid genetic algorithm was established, the standard pitch circle pressure angle and displacement coefficient, the coefficient of addendum, and gear tooth shape parameters were optimized, which increases the solving speed while maintaining good convergence. The simulation results by using MATLAB show that the flow pulsation rate of gear pump has linear relationship with the gear type parameters;in order to meet the requirement of structure and reasonable transmission, the pulsation rate of the gear pump was reduced by 7.27% after optimized design, and the purpose of increasing the internal meshing gear pump was realized.
In order to reduce the internal gear pump flow pulsation and increase the efficiency of gear pump, this paper established the gear pump flow pulsation rate and the mathematical model of tooth shape parameters, and analyzed the instantaneous flow rate of outer ring gear and internal gear when different meshing relationship is satisfied. A traditional genetic algorithm based on improved niche operation and fusion hybrid genetic algorithm was established, the standard pitch circle pressure angle and displacement coefficient, the coefficient of addendum, and gear tooth shape parameters were optimized, which increases the solving speed while maintaining good convergence. The simulation results by using MATLAB show that the flow pulsation rate of gear pump has linear relationship with the gear type parameters;in order to meet the requirement of structure and reasonable transmission, the pulsation rate of the gear pump was reduced by 7.27% after optimized design, and the purpose of increasing the internal meshing gear pump was realized.
引文
[1]白桂香.直线共轭内啮合齿轮泵特性分析与研究[D].兰州理工大学,2012.
[2]李宏伟,张方晓.内啮合齿轮泵的排量分析[J].液压与气动,2007(2):67-69.LI Hongwei,ZHANG Fangxiao.Displacement research of internal gear pumps[J].Hydraulics&Pneumatics,2007(2):67-69.
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[4]杨国来,刘志刚,杨长安,等.内啮合齿轮泵齿轮变位系数对流量脉动的影响[J].机床与液压,2008(11):60-61,108.YANG Guolai,LIU Zhigang,YANG Changan,et al.Effect of internal grear pump modification coefficient on flow pulsation[J].Machine Tool&Hydraulics,2008(11):60-61,108.
[5]张惠,汪中厚.直线共轭内啮合齿轮泵流量脉动分析[J].机械传动,2015(1):98-101,161.ZHANG Hui,WANG Zhonghou.Analysis of the flow pulsation of straight conjugated internal gear pump[J].Mechanical Drive,2015(1):98-101,161.
[6]张建卓,李康康.内啮合齿轮泵内齿轮静压支撑研究[J].中国机械工程,2011(13):1 532-1 537.ZHANG Jianzuo,LI Kangkang.Study on hydrostatic support of inner gear in inner mesh gear pumps[J].China Mechanical Engineering,2011(13):1532-1537.
[7]刘志刚,郭名海,孔凡忠,等.基于几何参数的IPH型内啮合齿轮泵流量脉动的研究[J].液压与气动,2012(1):95-97.LIU Zhigang,GUO Minghai,KONG Fanzhong,et al.Study of flow pulsation for IPH internal gear pump based on geometric parameters[J].Hydraulics&Pneumatics,2012(1):95-97.
[8]钱志达,祝海林,蒋宇,等.内啮合齿轮泵的排量计算[J].常州大学学报(自然科学版),2013(1):43-45.QIAN Zhida,ZHU Hailin,JIANG Yu,et al.Calculation of internal gear pump displacement[J].Journal of Changzhou University(Natural Science Edition),2013(1):43-45.
[9]李东泽,陈诚,梁瑞涛,等.渐开线内啮合齿轮泵的流量特性及其参数分析[J].舰船电子工程,2014(11):149-153.LI Dongze,CHEN Cheng,LIANG Ruitao,et al.Involute internal gear pumlrflow characteristics and parameter analysis[J].Ship Electronic Engineering,2014(11):149-153.
[10]吴冬敏,芮延年,沈铭.粒子群-蚁群融合算法在曝气机减速器优化设计中的应用[J].机械传动,2015(1):158-161.WU Dongmin,RUI Yannian,SHEN Ming.Application of particle swarm optimization and ant colony optimization integration in the aerator reducer optimization design[J].Mechanical Drive,2015(1):158-161.
[11]陈博,王平军,胡金山.基于遗传算法的齿轮泵结构优化设计[J].机床与液压,2004,(12):96-98.CHEN Bo,WNAG Pingjun,HU JInsan.Structure optimum design of gear pump based on genetic algorithms[J].Machine Tool&Hydraulics,2004(12):96-98.
[12]王大勇,王慧.基于改进遗传算法的掘进机铲板多目标优化设计[J].机械设计与研究,2016(1):159-162,167.WANG Dayong,WANG Hui.Multi-objective optimization design for roadheader shovel based on improved genetic algorithm[J].Journal of Machine Design and Research,2016(1):159-162,167.
[13]王大勇,王慧.基于仿真优化的掘进机铲板综合性能研究[J].系统仿真学报,2016(2):434-440,448.WANG Dayong,WANG Hui.Study on comprehensive performance of roadheader shovel based on simulation optimization method[J].Journal of System Simulation,2016(2):434-440,448.
[14]张建寿,董信根,谢为贤.低噪声内齿轮泵设计参数最优化技术[J].上海交通大学学报,1990(3):70-76.ZHANG Jiansou,DONG Xingen,XIE Weixian.Optimising technique of design parameters for quiet internal cear pump[J].Journal Of Shanghai Jiaotong University,1990(3):70-76.
[15]叶素娣,徐敬华.高压大流量齿轮泵混合参数增效设计[J].机械科学与技术,2016(2):165-170.YE Shudi,XU Jinghua.Efficiency-improving design of high pressure and large flow gear pump by using hybrid parameters[J].Mechanical Soience and Technology for Aerospace Engineering,2016(2):165-170.
[2]李宏伟,张方晓.内啮合齿轮泵的排量分析[J].液压与气动,2007(2):67-69.LI Hongwei,ZHANG Fangxiao.Displacement research of internal gear pumps[J].Hydraulics&Pneumatics,2007(2):67-69.
[3]杨国来,刘肥,周文会.IPH型内啮合泵流量脉动研究方法的探讨[J].机床与液压,2008(7):105-106.YANG Guolai,LIU Fei,ZHOU Wenhui.Research on flow pulsation of IPH internal grearing pump[J].Machine Tool&Hydraulics,2008(7):105-106.
[4]杨国来,刘志刚,杨长安,等.内啮合齿轮泵齿轮变位系数对流量脉动的影响[J].机床与液压,2008(11):60-61,108.YANG Guolai,LIU Zhigang,YANG Changan,et al.Effect of internal grear pump modification coefficient on flow pulsation[J].Machine Tool&Hydraulics,2008(11):60-61,108.
[5]张惠,汪中厚.直线共轭内啮合齿轮泵流量脉动分析[J].机械传动,2015(1):98-101,161.ZHANG Hui,WANG Zhonghou.Analysis of the flow pulsation of straight conjugated internal gear pump[J].Mechanical Drive,2015(1):98-101,161.
[6]张建卓,李康康.内啮合齿轮泵内齿轮静压支撑研究[J].中国机械工程,2011(13):1 532-1 537.ZHANG Jianzuo,LI Kangkang.Study on hydrostatic support of inner gear in inner mesh gear pumps[J].China Mechanical Engineering,2011(13):1532-1537.
[7]刘志刚,郭名海,孔凡忠,等.基于几何参数的IPH型内啮合齿轮泵流量脉动的研究[J].液压与气动,2012(1):95-97.LIU Zhigang,GUO Minghai,KONG Fanzhong,et al.Study of flow pulsation for IPH internal gear pump based on geometric parameters[J].Hydraulics&Pneumatics,2012(1):95-97.
[8]钱志达,祝海林,蒋宇,等.内啮合齿轮泵的排量计算[J].常州大学学报(自然科学版),2013(1):43-45.QIAN Zhida,ZHU Hailin,JIANG Yu,et al.Calculation of internal gear pump displacement[J].Journal of Changzhou University(Natural Science Edition),2013(1):43-45.
[9]李东泽,陈诚,梁瑞涛,等.渐开线内啮合齿轮泵的流量特性及其参数分析[J].舰船电子工程,2014(11):149-153.LI Dongze,CHEN Cheng,LIANG Ruitao,et al.Involute internal gear pumlrflow characteristics and parameter analysis[J].Ship Electronic Engineering,2014(11):149-153.
[10]吴冬敏,芮延年,沈铭.粒子群-蚁群融合算法在曝气机减速器优化设计中的应用[J].机械传动,2015(1):158-161.WU Dongmin,RUI Yannian,SHEN Ming.Application of particle swarm optimization and ant colony optimization integration in the aerator reducer optimization design[J].Mechanical Drive,2015(1):158-161.
[11]陈博,王平军,胡金山.基于遗传算法的齿轮泵结构优化设计[J].机床与液压,2004,(12):96-98.CHEN Bo,WNAG Pingjun,HU JInsan.Structure optimum design of gear pump based on genetic algorithms[J].Machine Tool&Hydraulics,2004(12):96-98.
[12]王大勇,王慧.基于改进遗传算法的掘进机铲板多目标优化设计[J].机械设计与研究,2016(1):159-162,167.WANG Dayong,WANG Hui.Multi-objective optimization design for roadheader shovel based on improved genetic algorithm[J].Journal of Machine Design and Research,2016(1):159-162,167.
[13]王大勇,王慧.基于仿真优化的掘进机铲板综合性能研究[J].系统仿真学报,2016(2):434-440,448.WANG Dayong,WANG Hui.Study on comprehensive performance of roadheader shovel based on simulation optimization method[J].Journal of System Simulation,2016(2):434-440,448.
[14]张建寿,董信根,谢为贤.低噪声内齿轮泵设计参数最优化技术[J].上海交通大学学报,1990(3):70-76.ZHANG Jiansou,DONG Xingen,XIE Weixian.Optimising technique of design parameters for quiet internal cear pump[J].Journal Of Shanghai Jiaotong University,1990(3):70-76.
[15]叶素娣,徐敬华.高压大流量齿轮泵混合参数增效设计[J].机械科学与技术,2016(2):165-170.YE Shudi,XU Jinghua.Efficiency-improving design of high pressure and large flow gear pump by using hybrid parameters[J].Mechanical Soience and Technology for Aerospace Engineering,2016(2):165-170.
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