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RESEARCH PAPERS

A Computational Method for Planar Kinematic Analysis of Beam Pumping Units

[+] Author and Article Information
Ramkamal Bhagavatula

Petroleum Engineering Department, Texas Tech University, 214 8th and Canton Avenue, Lubbock, TX 79409-3111ramkamal.bhagavatula@bapco.net

Olu A. Fashesan

Petroleum Engineering Department, Texas Tech University, 214 8th and Canton Avenue, Lubbock, TX 79409-3111ramkamal.bhagavatula@bapco.net

Lloyd R. Heinze

Petroleum Engineering Department, Texas Tech University, 214 8th and Canton Avenue, Lubbock, TX 79409-3111ramkamal.bhagavatula@bapco.net

James F. Lea

Petroleum Engineering Department, Texas Tech University, 214 8th and Canton Avenue, Lubbock, TX 79409-3111ramkamal.bhagavatula@bapco.net

J. Energy Resour. Technol 129(4), 300-306 (May 21, 2007) (7 pages) doi:10.1115/1.2790981 History: Received April 26, 2004; Revised May 21, 2007

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.

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Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Location of a point with respect to local and global coordinate system

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Figure 2

Revolute joint connecting two bodies i and j

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Figure 3

Conventional unit (C-1824D-365-192)

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Figure 4

Flowchart for calculating the kinematic parameters of multibody mechanism

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Figure 5

Polished rod position comparison

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Figure 8

Angular velocity comparison of walking beam

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Figure 9

Angular velocity comparison of pitman arm

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Figure 10

Angular acceleration comparison of walking beam

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Figure 11

Angular acceleration comparison of pitman arm

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