摘要
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.
作者
王郝
宋安然
李玉龙
Wang Hao;Song Anran;Li Yulong(School of Electrical Engineering,Jiangsu College of Safety Technology,Xuzhou 212011,China;School of Mechanical and Electrical Engineering,Suqian College,Suqian 223800,China)
出处
《机械传动》
北大核心
2023年第1期77-81,共5页
Journal of Mechanical Transmission
基金
江苏省青蓝工程资助项目
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)
宿迁学院创新团队项目(2021td07)。
关键词
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 motor
Contact ratio factor
Normal length outside pitch circle
Flow ripple factor
Speed ripple factor
Minimum teeth number
