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.

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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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