考虑腐蚀的城市燃气管网抗震可靠度分析
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摘要
基于马尔可夫过程原理提出了管线腐蚀发生模型,结合线性腐蚀发展模型,获得了埋地管线截面面积的概率密度函数。在此基础上,利用弹性地基梁原理给出了管线在地震作用下的地震反应,采用随机摄动方法给出了腐蚀管线地震反应的均值和标准差。根据规范公式建立了地震下管线极限状态方程,进而获得管线抗震可靠度。利用改进最小路递推分解算法进行了管网的抗震可靠度分析。该算法以网络最小路为分解策略,利用布尔运算原理给出了网络的递推分解格式,可以同时获得管网的不交最小路和不交最小割,进而利用概率不等式给出满足工程精度的结果。利用上述方法对一个工程实例进行了抗震可靠度分析。
In this paper,Markov process was used to simulate the occurrence of corrosion on the pipeline.Combining with linear corrosion development model with deterministic corrosion rate parameters,the evolution of probability density function of corrosion ratio of pipeline section area as service time increases was derived.On the basis of above corrosion model,elastic foundation beam model was used to give the pipeline stress.Then using random perturbation approach,the random seismic response of pipeline is derived.A limit state equation is established based on code and pipeline seismic reliability can be obtained.Also,a path-based recursive decomposition algorithm is presented to calculate seismic reliability of lifeline networks.The algorithm takes the shortest path of network as decomposition policy,using the Boolean laws of set operation and the probabilistic operation principal,the disjoint minimal path set and the disjoint minimal cut set are enumerated simultaneously.As the result,a probabilistic inequality can be used to give the results that satisfy prescribed error bound.An actual network is calculated using the proposed approaches.
In this paper,Markov process was used to simulate the occurrence of corrosion on the pipeline.Combining with linear corrosion development model with deterministic corrosion rate parameters,the evolution of probability density function of corrosion ratio of pipeline section area as service time increases was derived.On the basis of above corrosion model,elastic foundation beam model was used to give the pipeline stress.Then using random perturbation approach,the random seismic response of pipeline is derived.A limit state equation is established based on code and pipeline seismic reliability can be obtained.Also,a path-based recursive decomposition algorithm is presented to calculate seismic reliability of lifeline networks.The algorithm takes the shortest path of network as decomposition policy,using the Boolean laws of set operation and the probabilistic operation principal,the disjoint minimal path set and the disjoint minimal cut set are enumerated simultaneously.As the result,a probabilistic inequality can be used to give the results that satisfy prescribed error bound.An actual network is calculated using the proposed approaches.
引文
[1]李杰.生命线工程抗震——基础理论与应用[M].北京:科学出版社,2005.
[2]赵庆华.鲁宁输油管道腐蚀调查分析与对策[J].腐蚀与防护,2002,23(3):128-130.
[3]王晓华,卫月琴,朱红卫,等.煤气管道的电化学腐蚀与防腐蚀措施浅析[J].煤化工,2001,(2):39-40.
[4]陆大絟.随机过程及其应用[M].北京:清华大学出版社,1986.
[5]Ahammed M.Probabilistic Estimation of Remaining Life of a Pipeline in the Presence of Active Corrosion Defects[J].International Journal of Pressure Vessels and Piping,1998,75(4):321-329.
[6]屈铁军,王前信.地下管线多点地震激励纵向振动的级数解[J].地震工程与工程振动,1993,13(4):39-46.
[7]李杰.随机结构系统——分析与建模[M].北京:科学出版社,1996.
[8]刘威,李杰.考虑随机腐蚀作用的埋地管线地震反应分析[J].土木工程学报,2007,40(2):104-108.
[9]GB 50251-2003,输气管道工程设计规范[S].
[10]同济大学,沈阳建筑大学.沈阳市主干供气管网抗震分析报告[R].沈阳:沈阳建筑大学,2004.
[2]赵庆华.鲁宁输油管道腐蚀调查分析与对策[J].腐蚀与防护,2002,23(3):128-130.
[3]王晓华,卫月琴,朱红卫,等.煤气管道的电化学腐蚀与防腐蚀措施浅析[J].煤化工,2001,(2):39-40.
[4]陆大絟.随机过程及其应用[M].北京:清华大学出版社,1986.
[5]Ahammed M.Probabilistic Estimation of Remaining Life of a Pipeline in the Presence of Active Corrosion Defects[J].International Journal of Pressure Vessels and Piping,1998,75(4):321-329.
[6]屈铁军,王前信.地下管线多点地震激励纵向振动的级数解[J].地震工程与工程振动,1993,13(4):39-46.
[7]李杰.随机结构系统——分析与建模[M].北京:科学出版社,1996.
[8]刘威,李杰.考虑随机腐蚀作用的埋地管线地震反应分析[J].土木工程学报,2007,40(2):104-108.
[9]GB 50251-2003,输气管道工程设计规范[S].
[10]同济大学,沈阳建筑大学.沈阳市主干供气管网抗震分析报告[R].沈阳:沈阳建筑大学,2004.
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