A Computational Method for Planar Kinematic Analysis of Beam Pumping Units

Abstract

A generalized computational method for planar kinematic analysis of pumping units is presented in this study. In this method, a local coordinate system is assigned to each body with respect to a fixed global coordinate system. The position of each point in a body is determined by specifying the global translational coordinates of the local coordinate system origin and its rotational angle relative to the global coordinate system. Constraint equations of motion are developed using the vector of coordinates of the connected bodies. These equations are solved to yield the position, velocity, and acceleration of the individual linkages at each instance of time. Both rotational and translational types of joints are considered in the analysis. The translational joint analysis is not discussed in this paper as they are not applicable for beam pumping units. This method can be used as an effective tool for pumping unit design and optimization. An example is provided to show the application of this method.

Positive Torque Modulation Method and Key Technology of Conventional Beam Pumping Unit

“…A motion analysis sketch of the modified pumping unit suspension point is shown in Figure 3 [20][21][22][23], and can be obtained from Figure 3:…”

Dynamic strength analysis of the key components of the beam-type pumping unit with dynamic tracking balance

“…So far, the kinematic and stress analysis of the key components of beam-type pumping unit are available [18][19][20]. However, these work are mainly focus on the high-slip motors and double horse-head pumping units [21][22][23]. No previous research work has been done to study the dynamic behavior of beam-type pumping unit with dynamic tracking balance.…”

Dynamics of a Pumping System

“…A general method for the planar kinematic analysis of a pumping unit was presented in [2]. For this model, a local coordinate frame is attached to each solid, with respect to a fixed frame.…”