Reliability evaluation method of hydraulic support based on improved Weibull distribution

doi:10.16265/j.cnki.issn1003-3033.2018.05.017

Abstract

Abstract: In order to effectively improve the accuracy of the reliability evaluation of the hydraulic support,accurately describe the functional relationship between the failure rate and the service time of the hydraulic support,an improved Weibull distribution method for reliability evaluation of hydraulic support was proposed basing on the average rank method of solving the parameters of traditional Weibull distribution and improving the establishment of empirical distribution functions and optimizing the solution process of Weibull distribution parameters.The effectiveness of this method was verified by carrying out fixed time truncated tests and referring to the actual service life of the hydraulic support.The results show that compared with the traditional Weibull distribution method,when this method is used to solve the Weibull distribution parameters,the sum of squares due to error (SSE) of the regression model is reduced by 0.131 3,the coefficient of determination (R²) increased by 1.53%,and the adjustment coefficient of determination (Adj R²) increased by 1.82%,the accuracy of the reliability evaluation of the hydraulic support is improved by 0.3% and the evaluation result is more objective.

Key words: hydraulic support, failure rate, Weibull distribution, reliability evaluation, fixed time truncated test, average rank method

CLC Number:

X924.2

WANG Hui, ZHAO Guochao, SONG Yuning, JIN Xin. Reliability evaluation method of hydraulic support based on improved Weibull distribution[J]. China Safety Science Journal, 2018, 28(5): 99-104.

References

[1] 王国法.工作面支护与液压支架技术理论体系[J].煤炭学报,2014,39(8):1593-1601.
WANG Guofa.Theory system of working face support system and hydraulic roof support technology[J].Journal of China Coal Society,2014,39(8):1593-1601.
[2] 王国法.液压支架技术体系研究与实践[J].煤炭学报,2010,35(11):1903-1908.
WANG Guofa.Study and practices on technical system of hydraulic powered supports[J].Journal of China Coal Society,2010,35(11):1903-1908.
[3] 史朝阳,王爱红,高有山,等.基于MCMC的桥式起重机疲劳寿命可靠性灵敏度分析[J].中国安全科学学报,2014,24(3):47-51.
SHI Zhaoyang,WANG Aihong,GAO Youshan,et al.Bridge crane fatigue life reliability sensitivity analysis based on MCMC method[J].China Safety Science Journal,2014,24(3):47-51.
[4] 陈静.液压支架强度可靠性优化设计方法研究[D].北京:中国矿业大学(北京),2014.
CHEN Jing.Study on the design method of the strength reliability optimization of the powered support[D].China University of Mining and Technology(Beijing),2014.
[5] 朱天涛.液压支架可靠性工程平台建设[D].太原:太原理工大学,2017.
ZHU Tiantao.Construction of reliability engineering platform for hydraulic support[D].Taiyuan:Taiyuan University of Technology,2017.
[6] 胡登高,范迅.液压支架强度可靠性及敏感性分析[J].辽宁工程技术大学学报:自然科学版,2016,35(6):636-641.
HU Denggao,FAN Xun.Reliability and sensitivity analysis of hydraulic support[J].Journal of Liaoning Technical University:Natural Science,2016,35(6):636-641.
[7] 丁飞,王谦,张利蓉,等.支持向量机在液压支架可靠性预测中的应用[J].机械强度,2017,39(3):603-607.
DING Fei,WANG Qian,ZHANG Lirong,et al.Support vector machine for hydraulic support reliability prediction[J].Journal of Mechanical Strength,2017,39(3):603-607.
[8] 何富连,殷帅峰,李通达,等.基于共因失效计算模型的支架液压系统可靠性分析[J].煤矿安全,2013,44(11):64-67.
HE Fulian,YIIN Shuaifeng,LI Tongda,et al.Analysis of system reliability of hydraulic supports based on common cause failure calculation model[J].Safety in Coal Mines,2013,44(11):64-67.
[9] 丁飞,王谦.液压支架结构疲劳动态可靠性评估方法[J].中国安全科学学报,2015,25(6):86-90.
DING Fei,WANG Qian.Fatigue dynamic reliability assessment method of hydraulic support structure[J].China Safety Science Journal,2015,25(6):86-90.
[10] 武建军,游雄雄,吴事浪,等.两参数威布尔分布的废旧矿冶零部件再制造剩余寿命预测新方法[J].机械科学与技术,2016,35(4):589-593.
WU Jianjun,YOU Xiongxiong,WU Shilang,et al.Residual life prediction of remanufacturing for mining waste parts based on two-parameter Weibull distribution[J].Mechanical Science and Technology for Aerospace Engineering,2016,35(4):589-593.
[11] 许伟,程刚,黄林,等.基于混沌模拟退火PSO算法的威布尔分布参数估计应用研究[J].振动与冲击,2017,36(12):134-139.
XU Wei,CHENG Gang,HUANG Lin,et al.A chaotic simulated PSO algorithm application for Weibull distribution parameter estimation[J].Journal of Vibration and Shock,2017,36(12):134-139.
[12] 徐微,胡伟明,孙鹏.基于两参数威布尔分布的设备可靠性预测研究[J].中国工程机械学报,2013,11(2):112-116.
XU Wei,HU Weiming,SUN Peng.Equipment reliability prediction based on dual-parametric Weibull distribution[J].Chinese Journal of Construction Machinery,2013,11(2):112-116.
[13] 骆正山,毕傲睿.腐蚀管道寿命可靠性的步降应力加速试验研究[J].中国安全科学学报,2017,27(1):59-64.
LUO Zhengshan,BI Aorui.Research on reliability of corroded pipelines based on step-down-stress accelerated life testing[J].China Safety Science Journal,2017,27(1):59-64.
[14] 申桂香,孟书,张英芝,等.平均秩次法在子系统可靠性建模中的应用[J].吉林大学学报:工学版,2014,44(1):101-105.
SHEN Guixiang,MENG Shu,ZHANG Yingzhi,et al.Application of average rank time method in reliability modeling for subsystems[J].Journal of Jilin University:Engineering and Technology Edition,2014,44(1):101-105.
[15] 范大茵,陈永华.概率论与数理统计[M].杭州:浙江大学出版社,1996:16-18.
[16] 杨淑伟,杨瑞刚,路艺.起重机臂架结构的凸模型非概率可靠性分析[J].中国安全科学学报,2017,27(8):68-72.
YANG Shuwei,YANG Ruigang,LU Yi.Convex model-based non-probabilistic reliability analysis of crane structure[J].China Safety Science Journal,2017,27(8):68-72.
[17] 丁飞,金鑫,王春华,等.小样本事件下液压支架可靠性评估[J].煤炭科学技术,2016,44(11):116-120.
DING Fei,JIN Xin,WANG Chunhua,et al.Evaluation of reliability of hydraulic powered support under small sample event[J].Coal Science and Technology,2016,44(11):116-120.
[18] 方华元,胡昌华,周涛.基于一种改进平均秩法的导弹某部件可靠性寿命数据分析[J].战术导弹技术,2005(6):28-30.
FANG Huayuan,HU Changhua,ZHOU Tao,et al.Reliability life data analysis of the components of missile based on an improved least square method[J].Tactical Missile Technology,2005(6):28-30.