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约束条件耦合的风路可靠度新数学模型
引用本文:刘浪,陈建宏,韩玉建,杨珊.约束条件耦合的风路可靠度新数学模型[J].煤炭学报,2011,36(6):984-988.
作者姓名:刘浪  陈建宏  韩玉建  杨珊
作者单位:1.中南大学 资源与安全工程学院,湖南 长沙 410083; 2.湖南省深部金属矿产开发与灾害控制重点实验室,湖南 长沙 410083
基金项目:国家自然科学基金资助项目(50774092);全国优秀博士学位论文专项资金资助项目(200449)
摘    要:针对目前研究矿井通风网络分支可靠度时,认为井下空气约束条件是独立的情况,从约束条件之间的因果关系入手,运用曲线拟合得出空气状态指标之间的函数关系,提出了一种新的风路可靠度的理论计算模型。针对目前风量分布中依靠经验认识全部近似认为是正态分布的情况,利用概率图分析法给出了判断风量分布的严格定义,且给出了基于对数正态分布的风量分布模型,证明了并非所有风量分布均服从正态分布。正态分布由于规律性强,在实际应用中受到一定的限制,对数正态分布很好地解决了这一问题。

关 键 词:风路  可靠度  对数正态分布  概率图分析法  
收稿时间:2010-09-14

A new mathematical model for ventilation circuit reliability in constraint conditions coupling
Abstract:In view of the problem that at present,while studying the wind path reliability of mine ventilation system,the main study parameter is that the constraint conditions of air underground is independent.From the causal relationship among the constraint conditions,the curve fitting was used to describe the functional relationships among air status parameters,and a new theoretical computing mathematical model for reliability was put forward.In view of the problem that at present,while determining the type of air quantity distribution,the main study parameter is that air quantity distribution is almost recognized to be normal distribution relying on experience,the analysis method of probability graph was used to judge type of air quantity distribution,and the model of air quantity distribution based on lognormal distribution was given,which proved that not all air quantity distribution submits to normal distribution.Normal distribution as its stronger regularity is limited in the practical application,but lognormal distribution has solved the problem.
Keywords:ventilation circuit  reliability  lognormal distribution  analysis method of probability graph
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