| 摄动理论在腐蚀管线随机地震反应分析中的应用 |
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| 引用本文： | 刘威,李杰.摄动理论在腐蚀管线随机地震反应分析中的应用[J].地震工程与工程振动,2007,27(2):32-38. |
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| 作者姓名： | 刘威 李杰 |
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| 作者单位： | 1. 同济大学,建筑工程系,上海,200092
2. 同济大学,建筑工程系,上海,200092;同济大学,土木工程防灾国家重点试验室,上海,200092 |
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| 基金项目： | 国家自然科学基金委创新研究群体资助项目(50621062) |
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| 摘 要： | 埋地管线的腐蚀情况十分复杂,具有随机性的特点,从而导致其在地震激励下的反应必然具有随机性。本文在管线腐蚀离散状态模型和弹性地基梁原理的基础上,利用随机摄动理论推导给出了腐蚀管线在地震激励下位移和应力的解析表达式,并进行了均值和标准差的计算。实例分析中将该方法计算结果与Monte Carlo模拟方法计算结果进行了对比。结果表明,利用随机摄动方法可以快速、精确地求得腐蚀管线的随机地震反应。
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| 关 键 词： | 管线 腐蚀 随机摄动 马尔可夫链 弹性地基梁 |
| 文章编号： | 1000-1301（2007）02-0032-07 |
| 修稿时间： | 2006-05-102006-10-22 |
Application of perturbation method to stochastic seismic response analysis of buried pipeline with corrosion |
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| HU Wei,LI Jie.Application of perturbation method to stochastic seismic response analysis of buried pipeline with corrosion[J].Earthquake Engineering and Engineering Vibration,2007,27(2):32-38. |
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| Authors: | HU Wei LI Jie |
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| Institution: | 1. Building Engineering Department, Tongji University, Shanghai 200092, China; 2. Civil Engineering Disaster Prevention Lab,Tongji University, Shanghai 200092, China |
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| Abstract: | As the soil around the pipeline and the conveying material are undetermined,the corrosion state of buried pipeline is stochastic.As a result,the seismic response of buried pipeline is stochastic.In this paper,on the basis of the corrosion model of pipeline and elastic foundation beam method,the perturbation method is applied to calculate the mean and standard deviation of pipeline seismic response.Also,Monte Carlo simulation method is used to validate above method.The comparison results show that the perturbation method is efficient and precise in the stochastic analysis of pipeline seismic responses. |
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| Keywords: | pipeline perturbation method corrosion markov chain elastic foundation beam |
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