A fuzzy reliability analysis on the longitudinal vibration of remanufacturing sucker rod

doi:10.7623/syxb201704011

Acta Petrolei Sinica ›› 2017, Vol. 38 ›› Issue (4): 468-474.DOI: 10.7623/syxb201704011

• Petroleum Engineering • Previous Articles Next Articles

A fuzzy reliability analysis on the longitudinal vibration of remanufacturing sucker rod

Song Yujie, Peng Huifen, Xia Ye

School of Mechanical Science and Engineering, Northeast Petroleum University, Heilongjiang Daqing 163318, China

Received:2016-09-12 Revised:2017-03-05 Online:2017-04-25 Published:2017-05-04

再制造抽油杆纵向共振模糊可靠性分析

宋玉杰, 彭惠芬, 夏晔

东北石油大学机械科学与工程学院黑龙江大庆 163318

通讯作者: 彭惠芬,女,1969年4月生,1992年毕业于大庆石油学院,2012年获吉林大学博士学位,现为东北石油大学副教授,主要从事小波有限元数值分析、复合材料力学方面的研究工作。Email:phfdaqing@163.com
作者简介:宋玉杰,男,1968年12月生,1990年获大庆石油学院学士学位,2008年获大庆石油学院博士学位,现为东北石油大学教授,主要从事机械设计制造方面的研究工作。Email:syjdqpi@163.com
基金资助:
国家自然科学基金项目（No.11502051）“采油螺杆泵漏失机理的刚柔螺旋曲面与液膜多场耦合研究”资助。

Abstract

Abstract:

Due to the discreteness of design parameters and the fuzziness of resonance criterions for remanufacturing sucker rod, a deficiency exists, i.e., the fatigue strength design of remanufacturing sucker rod tends to a failure, so that fuzzy reliability theory is introduced to the fatigue strength design of remanufacturing sucker rod. Based on the actual working condition of remanufacturing sucker rod, the impacts of initial elastic deformation stress stiffness of remanufacturing sucker rod on vibration characteristics are studied by experiments. Then, on the basis of experimental results, a numerical model is established and verified for longitudinal vibration of remanufacturing sucker rod. With the help of stochastic finite element theory and the first-order second moment method, both the mean and variance of inherent frequency are derived for remanufacturing sucker rod. The fuzziness of resonant boundary conditions for remanufacturing sucker rod is described using normalized membership function, and then fuzzy reliability formula for remanufacturing sucker rod is derived with multiple inherent frequencies. The effectiveness and accuracy of above method are validated by numerical cases. On this basis, the impacts of variation coefficients and membership on fuzzy reliability of vibration are studied for remanufacturing sucker rod. The additional dynamic constraint reaction force at the suspension point caused by the resonance of remanufacturing sucker rod is analyzed as well as the response characteristic curve for longitudinal displacement under different damping ratios, providing a theoretical basis for the reasonable fatigue strength design for remanufacturing sucker rod.

Key words: remanufacturing sucker rod, fuzzy reliability, longitudinal vibration, variation coefficient, membership degree

摘要：

针对再制造抽油杆设计参数的离散性和共振准则的模糊性，所导致的再制造抽油杆疲劳强度设计偏于危险的缺陷，将模糊可靠性理论引入再制造抽油杆疲劳强度设计中，根据再制造抽油杆实际工况，从实验出发，研究再制造抽油杆弹性变形应力刚化对其振动特性的影响，并以实验为基础，建立并验证再制造抽油杆纵向振动数值模型；基于随机有限元理论，采用一次二阶矩法推导了再制造抽油杆固有频率的均值及方差；利用正态型隶属函数描述再制造抽油杆共振边界的模糊性，推导了具有多阶固有频率再制造抽油杆模糊可靠度计算公式，数值算例验证了该方法的有效性和可行性。在此基础上，研究了变异系数和隶属度对再制造抽油杆振动模糊可靠度的影响，分析了不同阻尼比下再制造抽油杆共振产生的悬点处附加动反力和纵向位移响应特性曲线，为再制造抽油杆合理疲劳强度设计提供理论基础。

关键词: 再制造抽油杆, 模糊可靠性, 纵向共振, 变异系数, 隶属度

CLC Number:

TE933

Song Yujie, Peng Huifen, Xia Ye. A fuzzy reliability analysis on the longitudinal vibration of remanufacturing sucker rod[J]. Acta Petrolei Sinica, 2017, 38(4): 468-474.

宋玉杰, 彭惠芬, 夏晔. 再制造抽油杆纵向共振模糊可靠性分析[J]. 石油学报, 2017, 38(4): 468-474.

References

[1] LI Bi,WANG Xudong.The research of vibration characteristic about sucker rod string[J].Applied Mechanics and Materials,2012,130-134:2789-2794.
[2] LIU Xinfu,QI Yaoguang.A modern approach to the selection of sucker rod pumping systems in CBM wells[J].Journal of Petroleum Science and Engineering,2010,76(3/4):100-108.
[3] 陈军,綦耀光,刘新福,等.基于弹性体振动理论的抽油杆柱三维振动分析[J].石油矿场机械,2009,38(2):15-19.
CHEN Jun,QI Yaoguang,LIU Xinfu,et al.Study on 3-D vibrations of sucker rod string based on the elastic body vibration theory[J].Oil Field Equipment,2009,38(2):15-19.
[4] 薛纭,刘延柱,陈立群.超细长弹性杆的分析力学问题[J].力学学报,2005,37(4):485-492.
XUE Yun,LIU Yanzhu,CHEN Liqun.On analytical mechanics for a super-thin elastic rod[J].Chinese Journal of Theoretical and Applied Mechanics,2005,37(4):485-492.
[5] 张宏,刘海浪,孙应民.定向井有杆泵抽油系统的有限元分析[J].石油学报,2000,21(6):102-106.
ZHANG Hong,LIU Hailang,SUN Yingmin.FEM analysis of sucker-rod pumping system for directional well[J].Acta Petrolei Sinica,2000,21(6):102-106.
[6] 董世民,赵力朋,王胜杰,等.聚合物驱抽油机井杆柱纵向振动的仿真模型[J].系统仿真学报,2008,20(2):309-313.
DONG Shimin,ZHAO Lipeng,WANG Shengjie,et al.Simulation models of longitudinal vibration of sucker rod string of polymer flooding rod pumping systems[J].Journal of System Simulation,2008,20(2):309-313.
[7] 董世民,姚春东.抽油杆柱纵向振动共振条件的质疑与力学模型的修正[J].振动工程学报,2003,16(3):389-392.
DONG Shimin,YAO Chundong.Doubting the resonance condition of the longitudinal vibration of the sucker rod string introduced by APIRP11L and improving of the mechanical modeling[J].Journal of Vibration Engineering,2003,16(3):389-392.
[8] 李子丰.油气井杆管柱力学研究进展与争论[J].石油学报,2016,37(4):531-556.
LI Zifeng.Research advances and debates on tubular mechanics in oil and gas wells[J].Acta Petrolei Sinica,2016,37(4):531-556..
[9] GANJI A,JOWKARSHORIJEH L.Advance first order second moment (AFOSM) method for single reservoir operation reliability analysis:a case study[J].Stochastic Environmental Research and Risk Assessment,2012,26(1):33-42.
[10] DU Xiaoping.Reliability-based design optimization with dependent interval variables[J].International Journal for Numerical Methods in Engineering,2012,91(2):218-228.
[11] 张义民,吕春梅,周娜,等.动态结构系统可靠性的频率灵敏度分析[J].力学学报,2008,40(5):716-720.
ZHANG Yimin,LV Chunmei,ZHOU Na,et al.Frequency sensitivity analysis for dynamic structural systems reliability[J].Chinese Journal of Theoretical and Applied Mechanics,2008,40(5):716-720.
[12] DUAN Wei,WANG Zhangqi.Vibration reliability analysis of turbine blade based on response surface method:Proceedings of Asia-Pacific Power and Energy Engineering Conference (APPEEC)[C].Chengdu,China:IEEE,2010:1-4.
[13] 张义民,苏长青,闻邦椿,转子系统的频率可靠性分析[J].振动工程学报,2009,22(2):218-220,
ZHANG Yimin,SU Changqing,WEN Bangchun.Natural frequency reliability analysis of rotor system[J].Journal of Vibration Engineering,2009,22(2):218-220.
[14] WANG Zhonglai,HUANG Hongzhong,LI Yanfeng,et al.An approach to system reliability analysis with fuzzy random variables[J].Mechanism and Machine Theory,2012,52:35-46.
[15] WONG C N,HUANG Hongzhong,LI Nan.Fourier series based reliability analysis of aeroengine turbine blade under linear fuzzy safety state[J].Engineering Failure Analysis,2013,31:268-280.
[16] 尼早,邱志平.结构模糊区间可靠性分析方法[J].计算力学学报,2009,26(4):489-493.
NI Zao,QIU Zhiping.Structural fuzzy interval reliability analysis method[J].Chinese Journal of Computational Mechanics,2009,26(4):489-493.
[17] 邱志平,张旭东.复固有频率问题的模糊变分原理[J].固体力学学报,2015,36(1):8-19.
QIU Zhiping,ZHANG Xudong.The fuzzy variational principle of complex natural frequency[J].Chinese Journal of Solid Mechanics,2015,36(1):8-19.
[18] 周海浪,曾庆元.结构振动的模糊可靠性分析[J].中南大学学报(自然科学版),2003,34(6):645-647.
ZHOU Hailang,ZENG Qingyuan.Fuzzy reliability analysis of structure vibration[J].Journal of Central South University (Science and Technology),2003,34(6):645-647.
[19] 樊恒,闫相祯,冯耀荣,等.基于分项系数法的套管实用可靠度设计方法[J].石油学报,2016,37(6):807-814.
FAN Heng,YAN Xiangzhen,FENG Yaorong,et al.Practical reliability design method of casing based on partial coefficient method[J].Acta Petrolei Sinica,2016,37(6):807-814.
[20] 张鹏,彭杨.考虑随机变量相关性的腐蚀管道失效概率[J].石油学报,2016,37(10):1293-1301.
ZHANG Peng,PENG Yang.Failure probability of corroded pipeline considering random variables correlation[J].Acta Petrolei Sinica,2016,37(10):1293-1301.
[21] 林红,陈国明,朱本瑞,等.海洋石油平台结构全寿命周期动态鲁棒性分析[J].石油学报,2015,36(2):246-252.
LIN Hong,CHEN Guoming,ZHU Benrui,et al.Dynamic robustness analysis of the offshore platform in the whole life cycle[J].Acta Petrolei Sinica,2015,36(2):246-252.
[22] SUDRET B,DER KIUREGHIAN A.Comparison of finite element reliability methods[J].Probabilistic Engineering Mechanics,2002,17(4):337-348.
[23] 王社锋,赵洪伦.基于随机有限元的车辆结构可靠度分析研究[J].同济大学学报:自然科学版,2010,38(11):1631-1634.
WANG Shefeng,ZHAO Honglun.Reliability analysis of railway vehicle structure based on stochastic finite element[J].Journal of Tongji University:Natural Science,2010,38(11):1631-1634.
[24] 严心池,华渊.基于随机有限元法的结构系统可靠性分析[J].武汉理工大学学报,2010,32(9):69-71.
YAN Xinchi,HUA Yuan.Structural system reliability analysis based on stochastic finite element method[J].Journal of Wuhan University of Technology,2010,32(9):69-71.
[25] 张功学,孟志强,朱均.共振机械的模糊可靠性理论分析[J].机械设计,2001,18(1):27-29.
ZHANG Gongxue,MENG Zhiqiang,ZHU Jun.Fuzzy reliability analysis of resonance mechanical[J].Journal of Machine Design,2001,18(1):27-29.
[26] 江涛,陈建军,刘德平.一种简洁的模糊-随机干涉模型可靠度计算公式[J].机械科学与技术,2005,24(7):835-838.
JIANG Tao,CHEN Jianjun,LIU Deping.Equivalence between weighted average method and method based on fuzzy event probability in fuzzy random reliability context[J].Mechanical Science and Technology,2005,24(7):835-838.
[27] 张萌,陆山,李波.模糊固有频率下的叶片抗共振可靠性分析[J].机械强度,2014,36(3):383-387.
ZHANG Meng,LU Shan,LI Bo.The reliability analysis of blade to avoid resonance with fuzzy inherent frequency[J].Journal of Mechanical Strength,2014,36(3):383-387.
[28] 苏荣华,王碧珺,丁文文,等.旋转轮盘应力刚化效应对模态特性影响分析[J].工程设计学报,2009,16(4):292-296.
SU Ronghua,WANG Bijun,DING Wenwen,et al.Influence analysis of stress stiffening effect of rotating wheel-disc on its modal characteristics[J].Journal of Engineering Design,2009,16(4):292-296.

A fuzzy reliability analysis on the longitudinal vibration of remanufacturing sucker rod

再制造抽油杆纵向共振模糊可靠性分析

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