Kinematic flowrate characteristics of external spur gear pumps using an exact closed solution
Kinematic flowrate characteristics of external spur gear pumps using an exact closed solution
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DOI：
10.1016/j.mechmachtheory.2008.10.002
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发表时间：
2009-06
影响因子：
5.2
通讯作者：
K. Huang;W. Lian
中科院分区：
文献类型：
--
作者：
K. Huang;W. Lian
本文利用导出的闭式流量公式研究了外啮合直齿圆柱齿轮泵的流量特性。讨论了齿轮泵的无因次流量和脉动系数。利用该公式可以准确、高效地计算出流量。首先，利用极坐标形式的渐开线方程，推导出渐开线包络圆弧面积的解析解。在此基础上，采用控制容积法推导出了泵流量的计算公式。在该过程中，离开控制区域的体积被分成两部分，这两部分分别属于渐开线和由于啮合点随着齿轮副的旋转而移动而产生的接触线。其次，计算并比较了直齿轮泵有无泄压槽时的流量和波动系数。结果表明，泄压槽在减小流量波动方面具有重要作用。最后讨论了齿数、模数、压力角和齿顶高系数等设计参数对泵流量特性的影响。
This paper investigates flow characteristics of external spur gear pumps using a flowrate formula derived in closed form. Nondimensional flowrates and fluctuation coefficients of gear pumps are discussed. By using the formula, flowrates can be calculated accurately and efficiently. Firstly, using the involute equation in polar form, an analytic solution of the arc area enveloped by the involute curve is derived. Then, the formula representing pump flowrate is deduced using a control volume approach. During the process, the volume exiting the control region is divided into two parts which, respectively belong to involutes and to the line of contact resulting from movement of the meshing point with the rotation of gear pairs. Next, flowrates and fluctuation coefficients of spur gear pumps both with and without relief grooves are calculated and compared. Results show the essential role of relief grooves in reducing flowrate fluctuation. Finally, influences of design parameters which include tooth number, module, pressure angle, and addendum coefficient on pump flowrate behavior are discussed.