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1.江苏安全技术职业学院 电气工程学院, 江苏 徐州 212011
2.宿迁学院 机电工程学院, 江苏 宿迁 223800
王郝(1980— ),男,江苏睢宁人,硕士,副教授;研究方向为机械工程、机械制造工艺、机器人机构分析;wanghaoyou5@163.com。
李玉龙(1968— ),男,江苏泰兴人,博士,教授;研究方向为泵理论及其现代设计方法;leo-world@163.com。
纸质出版日期:2023-01-15,
收稿日期:2022-01-26,
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王郝,宋安然,李玉龙.齿轮泵与齿轮马达的脉动差异性及其轻量化设计[J].机械传动,2023,47(01):77-81.
Wang Hao,Song Anran,Li Yulong.Output Ripple Difference and Following Lightweight Design of External Gear Pumps and Motors[J].Journal of Mechanical Transmission,2023,47(01):77-81.
王郝,宋安然,李玉龙.齿轮泵与齿轮马达的脉动差异性及其轻量化设计[J].机械传动,2023,47(01):77-81. DOI: 10.16578/j.issn.1004.2539.2023.01.011.
Wang Hao,Song Anran,Li Yulong.Output Ripple Difference and Following Lightweight Design of External Gear Pumps and Motors[J].Journal of Mechanical Transmission,2023,47(01):77-81. DOI: 10.16578/j.issn.1004.2539.2023.01.011.
为了明晰齿轮泵/齿轮马达输出量的脉动机理及其差异性,基于由性能到参数的逆向设计方法和渐开线齿廓的无根切特点,以最能反映输出脉动与困油等性能的重合度和轻量化效果的齿数为渐开线齿廓的构造变量,重点推导出无量纲节法线长度等齿廓参数式;据此,重构出齿轮泵输出流量和齿轮马达输出转速的脉动系数式;由许可脉动系数下的轻量化设计方法,确定出相应的最小重合度及其最少齿数。结果表明,重合度是影响脉动系数的关键参数,齿轮马达的转速脉动系数大于齿轮泵的流量脉动系数,重合度越大,脉动系数越小,脉动差异性越小,但困油负荷越大;重合度和齿数是影响轻量化效果的两个关键参数,重合度越大或齿数越少,轻量化效果越好;最小重合度由许可脉动系数唯一确定,最少齿数由最小重合度、许可齿顶压力角和许可齿顶圆心角等共同确定,从而完善了齿轮泵/齿轮马达就脉动系数方面的现有结论。
In order to clarify the different output mechanism and following ripple difference between external gear pump and motor
based on the reverse design method from performance to gear parameter and special involute feature without undercut
from the contact ratio factor which can best reflect output ripple performance and trapped-oil performance
teeth number which can best reflect lightweight effect as constructed variables of involute profile
the function expressions of dimensionless normal length outside pitch circle and other involute profile parameters are derived
and then the ripple factor formulas of output flow for gear pump and output speed for gear motor are reconstructed. The minimum contact ratio factor and the minimum teeth number are determined by lightweight method under the allowable ripple factor. All results show that contact ratio factor is a key parameter that affects the output ripple
ripple factor of output speed is larger than that of output flow
the larger the contact ratio factor is
the smaller the ripple factor and the smaller the ripple difference is
but the larger the relief load of trapped-oil is; the contact ratio factor and teeth number are two key parameters affecting the lightweight effect
the greater the contact ratio factor or the fewer teeth
the better the lightweight effect; the minimum contact ratio factor is uniquely determined by the allowable ripple factor
and the minimum teeth number is determined by the minimum contact ratio factor
the limited addendum pressure angle and the limited addendum center angle
etc.
thus
the existing conclusions on the ripple factor of gear pump/gear motor are improved.
齿轮泵/马达重合度节法线长度流量脉动系数转速脉动系数轻量化齿数
Gear pump and motorContact ratio factorNormal length outside pitch circleFlow ripple factorSpeed ripple factorMinimum teeth number
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