Aiming at the issues of the negative value of the net torque in the power take-off shaft of the reducing gear box for the existing pumping units, a flexible thrid-balanced pumping unit with positive torque is designed. And furthermore with the help of analytical method, the relevant mathematical models of displacement, velocity, acceleration and dynamic characteristics are established. Finally integrating with the case study, the kinematics and dynamics are analyzed. The results show that the positive maximum value of the velocity of the pumping unit's hanger is 0. 282 8 m/s2 and the minimum value is -0. 215 5 m/s2 , thus the motion performances are much better; the minimum value of the net torque is 4 966 N, the maximum value of the net torque is only 73. 99% of conventional walking-beam pumping units, so the system efficiency is not only remarkably enhanced, but also the force-acted status of the reducing gear box is greatly improved. In a word, the flexible third-balanced pumping unit with positive torque is characterized by reasonable structural design, obvious energy saving and long service life.%针对现有抽油机减速箱动力输出轴存在净扭矩负值的问题,设计了柔性三次平衡正扭矩抽油机,运用解析法建立了位移、速度、加速度以及动力学特性的相关数学模型,并结合实例进行了运动学及动力学分析.结果表明:该抽油机悬点加速度正向最大值为0.2828m/s2,负向最大值为-0.2155 m/s2,运动性能良好；净扭矩最小值达到4966 N,最大值仅为常规游梁抽油机的73.99％,不但显著提高了系统效率,还改善了减速箱齿轮的受力状况.柔性三次平衡正扭矩抽油机结构设计合理,节能效果显著,使用寿命长.
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