Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect
Comparative analysis whether considering the lateral inertia or not, aiming at the longitudinal vibration of the drill string in drilling progress, is proposed. In the light of the actual condition, the mechanical model of the drill string about vibration is established on the basis of the theoretic...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/6281264 |
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| _version_ | 1832561187900882944 |
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| author | Jialin Tian Chunming Wu Lin Yang Zhi Yang Gang Liu Changfu Yuan |
| author_facet | Jialin Tian Chunming Wu Lin Yang Zhi Yang Gang Liu Changfu Yuan |
| author_sort | Jialin Tian |
| collection | DOAJ |
| description | Comparative analysis whether considering the lateral inertia or not, aiming at the longitudinal vibration of the drill string in drilling progress, is proposed. In the light of the actual condition, the mechanical model of the drill string about vibration is established on the basis of the theoretical analysis. Longitudinal vibration equation of the drill string is derived from the Rayleigh-Love model and one-dimensional viscoelastic model. According to the Laplace transform method and the relationships among parameters of the model, the solutions to complex impedance at the bottom of the drill string are obtained, and then the comparison results are analyzed, which is the lateral inertia effect on longitudinal vibration characteristics. The researches show that the smaller the length of the drill string, the greater the cross-sectional area of the drill string, the greater the damping coefficient of bottom hole on the bottom of the drill string, and the more evident the effect on the dynamic stiffness of the drill string with lateral inertia effect. The Poisson ratio of the drill string only has some effects on it taking account of the lateral inertia effect, and the influence is relatively small compared with the former three conditions. |
| format | Article |
| id | doaj-art-f1d9bc49476249cb85d64e1f396404ee |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f1d9bc49476249cb85d64e1f396404ee2025-02-03T01:25:51ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/62812646281264Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia EffectJialin Tian0Chunming Wu1Lin Yang2Zhi Yang3Gang Liu4Changfu Yuan5School of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaSchool of Mechatronic Engineering, Southwest Petroleum University, Chengdu 610500, ChinaComparative analysis whether considering the lateral inertia or not, aiming at the longitudinal vibration of the drill string in drilling progress, is proposed. In the light of the actual condition, the mechanical model of the drill string about vibration is established on the basis of the theoretical analysis. Longitudinal vibration equation of the drill string is derived from the Rayleigh-Love model and one-dimensional viscoelastic model. According to the Laplace transform method and the relationships among parameters of the model, the solutions to complex impedance at the bottom of the drill string are obtained, and then the comparison results are analyzed, which is the lateral inertia effect on longitudinal vibration characteristics. The researches show that the smaller the length of the drill string, the greater the cross-sectional area of the drill string, the greater the damping coefficient of bottom hole on the bottom of the drill string, and the more evident the effect on the dynamic stiffness of the drill string with lateral inertia effect. The Poisson ratio of the drill string only has some effects on it taking account of the lateral inertia effect, and the influence is relatively small compared with the former three conditions.http://dx.doi.org/10.1155/2016/6281264 |
| spellingShingle | Jialin Tian Chunming Wu Lin Yang Zhi Yang Gang Liu Changfu Yuan Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect Shock and Vibration |
| title | Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect |
| title_full | Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect |
| title_fullStr | Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect |
| title_full_unstemmed | Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect |
| title_short | Mathematical Modeling and Analysis of Drill String Longitudinal Vibration with Lateral Inertia Effect |
| title_sort | mathematical modeling and analysis of drill string longitudinal vibration with lateral inertia effect |
| url | http://dx.doi.org/10.1155/2016/6281264 |
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