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要对抽油机的设计提供较为精确的理论计算依据，必须对抽油机进行弹性动力分析。为此，建立了抽油机的力学模型，导出了用有限元进行弹性动力分析的动力微分方程。考虑到抽油机低速旋转的特点，将动力微分方程简化成准静态的线性方程组，大大节省了计算时间。又因为考虑了动力效应，计算精度得以保证，计算结果更接近于实际工况。对CYJ10－3－53HB常规式抽油机进行了编程计算，可知最大应力值较低，表明目前抽油机的设计偏于保守。
To provide a more accurate theoretical basis for the design of the pumping unit, elastic dynamic analysis of the pumping unit must be carried out. For this reason, the mechanical model of pumping unit is established, and the dynamic differential equation of elastic dynamic analysis using finite element method is derived. Considering the characteristics of pumping unit rotating at low speed, the dynamic differential equations are reduced to the quasi-static linear equations and the computational time is greatly saved. And because of considering the dynamic effect, the calculation accuracy can be guaranteed and the calculation result is closer to the actual working condition. The CYJ10-3-53HB conventional pumping unit has been programmed to calculate, we can see the maximum stress value is low, indicating that the current pumping unit design is conservative.