渐开线外啮合直齿轮泵瞬时几何流量的精确计算

兰州理工大学学报 ›› 2026, Vol. 52 ›› Issue (3): 53-60.

渐开线外啮合直齿轮泵瞬时几何流量的精确计算

王建森^*1, 李文宣¹, 司国雷², 李金轩¹, 闫红亮¹, 何春阳¹

1.兰州理工大学能源与动力工程学院, 甘肃兰州 730050;
2.四川航天烽火伺服控制技术有限公司, 四川成都 611130

收稿日期:2023-10-10 出版日期:2026-06-28 发布日期:2026-06-30
通讯作者: 王建森(1973-),男,甘肃华池人,博士,副教授.Email:wajase@163.com
基金资助:
甘肃省自然科学基金(17JR5RA120),甘肃省科技专员专项(技术创新引导计划 22CX8GA119)

Accurate calculation of instantaneous geometric flow characteristics of involute external meshing spur gear pump

WANG Jian-sen¹, LI Wen-xuan¹, SI Guo-lei², LI Jin-xuan¹, YAN Hong-liang¹, HE Chun-yang¹

1. College of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Sichuan Aerospace Fenghuo Servo Control Technology Corporation, Chengdu 611130, China

Received:2023-10-10 Online:2026-06-28 Published:2026-06-30

摘要/Abstract

摘要： 准确、高效且高精度的建模和计算是液压元件和系统数字孪生技术的基础.以渐开线外啮合直齿轮泵为研究对象,探究瞬时几何流量的精确计算方法.将泵密封排油容腔和困油容腔的轴向投影面分别看作由分段光滑曲线构成的单连通域,采用坐标变换法建立计算域边界分段曲线参数化数学模型,利用格林公式精确计算该几何域面积随齿轮转角的变化规律,进而得到齿轮泵的瞬时几何流量特性.案例验证结果表明,采用该方法计算所得结果与基于CAD辅助测量结果完全一致,与传统近似计算方法相比该方法所得泵的瞬时几何流量脉动率更高,泵的排量更低.同时发现,该方法具有一定的普适性,可推广用于计算分析其它齿廓齿形的齿轮泵瞬时几何流量特性.

关键词: 容积泵, 外啮合直齿轮泵, 渐开线齿廓, 瞬时几何流量特性, 计算方法

Abstract: Accurate, efficient, and high-precision modeling and calculation methods are the foundation of digital twin technology for hydraulic components and systems, taking the involute external meshing spur gear pump as an example to explore an accurate calculation method for its instantaneous geometric flow rate. The axial projection areas of the pump’s discharge chamber and the trapped oil chamber are viewed respectively as a simple connected domain enclosed by piecewise smooth curves, and a parameterized mathematical model of the piecewise curve of the calculation domain is established by the principle of coordinate transformation, using Green's formula, the variation law of the area of the domain with the gear rotation angle can be accurately calculated, and then the geometric instantaneous flow characteristics of the gear pump can be obtained. Through case verification, the results obtained by this method are completely consistent with those based on CAD assisted measurement, compared with traditional approximate calculation methods, the instantaneous geometric flow pulsation rate of the pump obtained by this method is higher than the approximate calculation results, and the displacement of the pump obtained is lower than the approximate calculation results.This method has a certain degree of universality and can be extended to calculate and analyze the instantaneous geometric flow characteristics of gear pumps with other tooth profiles.

Key words: positive displacement pump, external meshing spur gear pump, involute profile, instantaneous geometric flow characteristics, calculation method

中图分类号:

TH325

王建森, 李文宣, 司国雷, 李金轩, 闫红亮, 何春阳. 渐开线外啮合直齿轮泵瞬时几何流量的精确计算[J]. 兰州理工大学学报, 2026, 52(3): 53-60.

WANG Jian-sen, LI Wen-xuan, SI Guo-lei, LI Jin-xuan, YAN Hong-liang, HE Chun-yang. Accurate calculation of instantaneous geometric flow characteristics of involute external meshing spur gear pump[J]. Journal of Lanzhou University of Technology, 2026, 52(3): 53-60.

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链接本文: https://journal.lut.edu.cn/CN/

https://journal.lut.edu.cn/CN/Y2026/V52/I3/53

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