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根据游梁式抽油机四连杆机构的几何关系和运动特点，建立了游梁的摆动方程，并由该方程得出了游梁摆角变化规律以及悬点运动的位移、速度和加速度的计算公式，从而给出了求游梁式抽油机悬点运动参数精确解的一种计算方法。以ＣＹＪ１０－３－３７ＨＢ型抽油机为例，计算了其悬点运动参数，并给出了与简化为简谐运动和曲柄滑块机构运动的对比曲线；分析表明，悬点的上、下死点位置不是常规认为的１８０°和３６０°（或０°）曲柄转角，因而按常规计算时悬点位移将出现负值。为此，给出了确定悬点运动死点位置的方法，并计算出ＣＹＪ１０－３－３７ＨＢ型抽油机在给定条件下的上、下死点位置为１７８°７′３″和３５８°２′３７″曲柄转角。该方法既适用于曲柄任意方向旋转的游梁式抽油机，也适用于前置式抽油机，同时还可供研究其它类型抽油机运动规律时参考。
According to the geometry and movement characteristics of the four-bar linkage of the beam pumping unit, the swing equation of the beam is established, and the variation law of beam swing angle and the displacement, velocity and acceleration A calculation method is given to find the exact solution of the motion parameters of the rod beam pumping unit. Taking CYJ10-3-37HB pumping unit as an example, the parameters of its hanging point motion are calculated, and the comparison curves with the simplification of simple harmonic motion and the movement of the crank-slider mechanism are given. The analysis shows that the hanging point’s up and down Dead-end positions are not conventionally considered as 180 ° and 360 ° (or 0 °) crank angles, so the point-of-displacement will be negative when conventionally calculated. For this reason, the method to determine the dead center of the suspended point motion is given and the upper and lower dead centers of the CYJ10-3-37HB pumping unit under the given conditions are calculated as 178 ° 7’3 “and 358 ° 2’37 ”crank angle. The method is suitable for both the beam pumping unit rotating in any direction of the crank and the front type pumping unit as well as for studying the movement rules of other types of pumping units.