第39参第3期 2017年5月
石油钻采工艺
OIL DRILLING & PRODUCTION TECHNOLOGY
文章编号：10007393(2017)03033404
DOI:10.13639/j.odpt.2017.03.015
曲线拟合新方法
超高强度抽油杆P-S-N由超
背元刚郝帆帆西安石油大学石工程学院
Vol. 39 No. 3 May 2017
引用格式：骨元则，部帆帆.超高强度轴油杆P-S-N曲线拟合新方法[J］.石油钻采工艺，2017,393)：334-337
摘要：P-S-N由线是超高强度抽油杆力学性能分析的主要依据，其拟合方法通常参照于普通抽油杆。然而实验数据表明，
法，提出了基于Box-Cox变量变换法的三参数P-S-N画线拟合模型，其中Box-Cox史量变换法解决了一定循环应力下，遗劳寿命不满足正态分布的间题；三参数P-S-N由线模型更符合典型S-N面线的趋势。实验计算结果表明，新方法下的P-S-N面线拟合度更高，相对误差仅为1.46%~4.12%，仅为以往方法的11%-30%，新方法拟合的面线更能体现超高强度抽油杆力学性能，精确度更高。
关键词：P-S-N曲线；超高强度；抽油杆；Box-Cox变量变换法
中图分类号：TE928
文献标识码：A
Anew fitting method for P-S-N curve of ultra-high-strength sucker rod
XU Yuangang, HAO Fanfan
College of Pebrolerm Engineering, Xi'an Shtiyour Uriversity, Xi'an 710065, Shaarxi, Chind
Citation: XU Yuangang, HAO Fanfan. A new fitting method for P-S-N curve of ultra-high-strength sucker rod [J J . Oil Drilling& Production Technology, 2017, 39(3): 334-337.
Abstraet: P-S-N curve is one important basis for analyzing the mechanical performance of ultra-high-strength sucker rod, and its fitting method is generally referred to that of conventional sucker rods. Based on experimental data, however, ultra-high-strength sucker rod can't satisfy the assumptions of P-S-N curve fitting model which is used for conventional sucker rods. A three-parameter P-S-N curvc fitting model based on Box-Cox variable transformation method was developed to search for a fitting method suitable for the P-S-N curve of ultra-high-strength sucker rod. By means of Box-Cox variable transformation method, fatigue life can satisfy normal distribution in a certain cyclic stress. The three-parameter P-S-N curve model is more accordant with the trend of typical S-N curve. It is indicated from experimental calculation results that by virtue of this new method, the ftting degree of p-S-N curve is higher with relative error only 1.46%-4.12%, which is just 11%-30% of the conventional value. The fitting based on this new method can embody the mechanical performance of ultra-high-strength sucker rod more accurately.
Key words: P-S-N curve; ultra high strength; sucker rod; Box-Cox variable transformation method
P-S-N曲线是指在给定存活概率下，疲劳实验所得循环应力与疲劳寿命的关系曲线，简称概率疲劳
寿命曲线（1。抽油杆高载荷往复运动过程中受到交变应力作用，达到一定限度时抽油杆断裂，即发生疲
基金项目：西安石油大季研完生创新基金项目（编号：2015cex140104)；西安石油大学优秀项士学位论文培育项目（端号：2015yp1401
04)。
第一作者：骨元刚（1963-),1998年毕业于中国石油大学（华东)油气田开发工程专业，博士研究生，现从事采油工程理论与技术方向的
研究和教学，教投。通讯地址：(710065)陕西省西安市犀塔区电子二路18号西安石油大学。E-mail：ygxu@xsyu.edu.cn
通讯作者：部帆帆（1990-),西安石沟大学在读硕士研究生现，主要从事采沟工程理论与技术方面的研究工作。通试地证：(710065)陕西
省西安市原塔区电子二路18号西安石油大学。E-mail：fan_fanhao@126.com
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