基于齿廓曲线的外啮合齿轮泵排量计算  

Calculation of External Meshing Gear Pump Displacement Based on Tooth Profile Curve

作　　者：安高成[1] 李培国 郭嘉琪 谢添 宋伟 刘宝玉 AN Gaocheng;LI Peiguo;GUO Jiaqi;XIE Tian;SONG Wei;LIU Baoyu(School of Mechanical Engineering,Taiyuan University of Science and Technology,Taiyuan Shanxi 030024,China)

机构地区：[1]太原科技大学机械工程学院,山西太原030024

出　　处：《机床与液压》2024年第12期25-32,84,共9页Machine Tool & Hydraulics

摘　　要：渐开线外啮合齿轮泵以结构简单、造价低廉等优点而在矿山、工程等领域应用广泛,但目前关于精准计算其瞬时流量、排量的文献较少。为此,基于齿轮啮合机制、轮齿齿廓性质以及转角和啮合点的关系,建立齿轮泵瞬时输出流量的数学及仿真模型。针对齿轮泵重合度、齿轮变位、卸荷槽、侧隙等影响因素对模型进行论证,进而提出一种精准计算渐开线外啮合齿轮泵排量的方法,并采用Simulink仿真软件对不同类型外啮合齿轮泵的瞬时流量进行仿真模拟。同时利用3种不同型号齿轮泵验证排量公式,其最大误差在5%以内。验证计算模型有效性后,基于MATLAB设计了齿轮泵计算辅助平台,实现了外啮合齿轮泵瞬时流量、排量性能可视化,以简化计算流程,适应工程化应用。The involute external meshing gear pump is widely utilized in various fields such as mining and engineering due to its simplicity structure and low cost.However,there is a scarcity of literature on accurate calculations of instantaneous flow and displacement.To address this,a mathematical and simulation model of the instantaneous output flow of the gear pump was established,based on the gear meshing mechanism,tooth profile,and the angular position relationship of meshing points.The impacts of contact ratio,modification coefficient,unloading groove,side gap,and other factors were demonstrated by the model.Additionally,a precise method for calculating the displacement of involute external meshing gear pumps was proposed,and the instantaneous flow of different types of pump were simulated with Simulink.And three different type of gear pump were used to verify the displacement formula.The maximum error is within 5%.After validating the effectiveness of the calculation model,a gear pump calculation auxiliary platform was developed.The performance visualization of the instantaneous flow and displacement of the external meshing gear pump was realized,to simplify the calculation process and be more well-suited for engineering applications.

关 键 词：外啮合齿轮泵 瞬时流量 排量 性能可视化 

分 类 号：TH137[机械工程—机械制造及自动化] TH325