基于扫过面积法的齿轮泵卸荷面积计算
The Calculation of Relief Area Based on Swept Area Method in the External Gear Pumps

以小侧隙、矩形卸荷槽下的困油膨胀过程为例，依据扫过面积法的生成原理，通过啮合点和卸荷槽线与齿廓交点的动态计算，给出了卸荷面积计算的参数化精确模型。对计算结果进行虚拟验证，并分析了泵基本设计参数对卸荷面积的影响。结果表明：计算结果与虚拟测量值非常吻合，案例误差控制在3.86%左右，基于扫过面积法的卸荷面积计算方法正确；模数越大、齿数和变位系数越小，卸荷面积越大等，扫过面积法适用于任意侧隙值下的卸荷面积计算，且精确高效。
Taking the trapped-oil expansion process in small backlash value and rectangle relief groove style as an example, the accurate parametric model for relief area calculation was derived according to the generating principle of the swept area method and the dynamic calculation of mesh point and the intersection point of relief groove line with tooth profile of driving gear and driven gear. The calculation results of relief area was verified by virtual measurement, and the influence of the basic design parameters of gear on relief area was analyzed. The results indicate that the calculation results agree with virtual measurement value, the error of the example case was about 3.86%, the swept area method for relief area calculation was correct; and it is found that the greater the modulus was and the smaller teeth number and modification coefficient was, the greater the relief area was. The swept area method is suitable for the accurate and efficient calculation of relief area in random backlash value