基于数学模型的二维插装水泵设计与试验

基于传统水泵,设计了一种由多组单元泵组插装而成的二维插装水泵。单元泵组由两个单元泵组成,通过两个单元泵的配合可以消除流量脉动。基于其中的基础组件,即两个单元泵的组合特性展开了研究。通过理论分析与对比,阐述了二维插装水泵的工作原理,说明了二维插装水泵的潜在优势,包括结构力平衡、排量大、油水分离、无结构性流量脉动等。同时,针对凸轮与滚子之间的接触曲面进行了数学建模与分析。有别于二维取点后补偿得到接触点的方式,接触曲面的数学建模方法采取分析滚子与凸轮的空间接触关系,基于空间关系建立接触曲面的坐标模型,接触曲面的数学模型在精度上优于二维取点补偿法。通过对活塞运动规律和两个单元泵组流量特性的试验研究,验证了接触曲面数学模型的正确性和二维插装水泵无结构性流量脉动的优点。

Design and Experiment of Two-dimensional Cartridge Water Pump Based on Mathematical Model

The distribution of water resources and the application of seawater desalination pumps in China were analyzed. Based on the traditional water pump, a water pump named two-dimensional cartridge pump composed of some pairs of unit pumps was proposed. Depending on the basic components of the unit pump set, namely the combined characteristics of two unit pumps were studied. Through the theoretical analysis and comparison with the traditional axial piston pump and centrifugal pump for water, the working principle and potential advantages of the two-dimensional cartridge water pump were expounded. The advantages included structural force balance, large displacement, oil and water separation, no structural flow ripple and so on. In the meantime, the mathematical modeling and analysis of the contact surface between cam and roller were carried out. Being different from the method of obtaining contact points by taking points in two dimensions after compensation, the mathematical model of contacting surface was established based on the analysis of the spatial contacting relationship between the roller and cam. The mathematical model of contacting surface was more precise which offered theoretical basis for the further research. The correctness of the mathematical model of contact surface and the advantage of no structural flow pulsation in two-dimensional cartridge pump were verified by the experimental study of piston movement and flow characteristics of two unit pump set.