西南石油大学学报(自然科学版) ›› 1991, Vol. 13 ›› Issue (2): 72-79.DOI: 10.3863/j.issn.1000-2634.1991.02.09

• 论文 • 上一篇    下一篇

三牙轮钻头瓢形齿齿面结构的空间解析式及积分处理

练章华 马德坤 黄春申

  

  1. (石油机械系)
  • 收稿日期:1990-03-09 修回日期:1900-01-01 出版日期:1991-04-20 发布日期:1991-04-20

ANALYTIC EXPRESSION FOR SCOOP-SHAPED TOOTH SURFACE OF THREE-CONE BIT AND ITS INTEGRATION PROCESSING

Lian Zhang-hua Ma De-kun Huang Chun-shen   

  1. (Department of Mecl2anical Engineering)
  • Received:1990-03-09 Revised:1900-01-01 Online:1991-04-20 Published:1991-04-20

摘要:

本文以空间解析几何的数学理论,推导出了三牙轮钻头瓢形齿的横截面积、体积与瓢形齿吃入岩石深度之间的数学关系式.为研究钻头牙齿破碎岩石坑的形状大小提供了基准,也可作为三牙轮钻头工作行为计算机仿真研究的参考资料。

关键词: 牙轮钻头, 齿面结构, 数学分析, 吃入深度, 破碎坑。

Abstract:

According to the mathematical theory of analytical space geometry, the paper has established the mathematical relationship between the sectional area and volume of the scoop-shaped tooth of three-cone bit and the depth of tooth penetrating rock. The mathematical relationship has provided the standard for the study of the size of bit teeth breaking rock,laid the foundation for the computer imitation of three-cone bit,and provided the unprecedented reference materials for the people working on bit research as well.

Key words: Cone bit, Tooth surface structure, Mathematical analysis, Depth of tooth penetration, Breaking pit

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