基于重整化群的水工混凝土结构整体破坏概率研究
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摘要
在借鉴重整化群理论和局部损伤概率的基础上,形成水工混凝土结构整体破坏概率研究方法.针对单元损伤概率不等的正方体结构,推导了1级原胞损伤概率,再依次确定n级原胞的损伤概率,从而得到结构整体的破坏概率.传统的岩石等概率破碎模型只是针对单元损伤概率相等情况下的一个特例,而该数学模型是一个通式.以某大体积混凝土结构为例,应用所建立的数学模型进行了实例分析.计算结果表明,当单元损伤概率不超过0.7时,结构较为安全,否则结构整体安全性会迅速降低,外界环境一旦恶化,结构极有可能发生垮塌.
The method is based on renormalization group theory and damage probability of location.The damage probability of cubical structure is obtained while the damage probability of unit is unequal.First,the damage probability of primitive cell level 1 is derived.Then,the damage probability of primitive cell level n is also derived in their given order.Therefore,the damage probability of the whole concrete structure is determined.The mathematical model is universal.But the model of rock breaking is a special case while the damage probability of unit is equal.In addition,a large concrete structure is simulated based on the mathematical model,and the results are analysed.The research results show that the safety of the structure is good when the damage probability of unit is less than 0.7.Otherwise,the safety of it will be rapidly reduced.The structure may collapse if external environment deteriorates.
The method is based on renormalization group theory and damage probability of location.The damage probability of cubical structure is obtained while the damage probability of unit is unequal.First,the damage probability of primitive cell level 1 is derived.Then,the damage probability of primitive cell level n is also derived in their given order.Therefore,the damage probability of the whole concrete structure is determined.The mathematical model is universal.But the model of rock breaking is a special case while the damage probability of unit is equal.In addition,a large concrete structure is simulated based on the mathematical model,and the results are analysed.The research results show that the safety of the structure is good when the damage probability of unit is less than 0.7.Otherwise,the safety of it will be rapidly reduced.The structure may collapse if external environment deteriorates.
引文
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[12]LIU Bin,SHI Feng,GAO Yu-jin.Dynamic load balancing based on restricted multicast tree in homogeneous multiprocessorsystems[J].Journal of Beijing Institute of Technology,2008,17(2):184-188.
[13]马志涛,谭云亮.岩石破坏演化细观非均质物理元胞自动机模拟研究[J].岩石力学与工程学报,2005,24(15):2704-2708.(MA Zhi-tao,TAN Yun-liang.Simulation study of rock failure based on MH-PCA model[J].Chinese Journal of RockMechanics and Engineering,2005,24(15):2704-2708.(in Chinese))
[14]JENAB K,DHILLON B S.Assessment of reversible multi-state k-out-of-n:G/F/Load-Sharing systems with flow-graph models[J].Reliability Engineering and System Safety,2006,91(7):765-771.
[2]林皋.混凝土大坝抗震技术的发展现状与展望(Ⅰ)[J].水科学与工程技术,2004(6):1-3.(LIN Gao.Developmentstatus and prospect of seismic technique about concrete dam(Ⅰ)[J].Hebei Water Resources and Hydropower Engineering,2004(6):1-3.(in Chinese))
[3]林皋.混凝土大坝抗震技术的发展现状与展望(Ⅱ)[J].水科学与工程技术,2005(1):1-3.(LIN Gao.Developmentstatus and prospect of seismic technique about concrete dam(Ⅱ)[J].Hebei Water Resources and Hydropower Engineering,2005(1):1-3.(in Chinese))
[4]LIN Gao,HUZhi-qiang,SHI Yun-xiao,et al.Some problems on the seismic design of large concrete dams[C]∥Proceeding of13th World Conference on Earthquake Engineering(WCEE),Vancouver,B C Canada,2004:1085.
[5]林皋.汶川大地震中大坝震害与大坝抗震安全性分析[J].大连理工大学学报,2009,49(5):657-666.(LIN Gao.Performance of dams suffered in Wenchuan earthquake and seismic safety analysis of dams[J].Journal of Dalian University ofTechnology,2009,49(5):657-666.(in Chinese))
[6]涂劲,陈厚群,张伯艳.高拱坝体系整体抗震安全评价方法研究[J].世界地震工程,2007,23(1):31-37.(TU Jin,CHEN Hou-qun,ZHANG Bo-yan.The method of holistic earthquake safety evaluation of a high arch dam system[J].WorldEarthquake Engineering,2007,23(1):31-37.(in Chinese))
[7]李周顺,何江达,苏向震,等.某重力坝坝体动力结构特性及坝基动力稳定性分析[J].四川水利,2008,28(1):13-17.(LI Zhou-shun,HE Jiang-da,SU Xiang-zhen,et al.Dynamic characteristics and dynamic stability of gravity dam[J].SichuanWater Resources,2008,28(1):13-17.(in Chinese))
[8]韦凤年.分析总结汶川地震经验教训加紧组织水工抗震设计规范修订—访中国工程院院士陈厚群[J].中国水利,2008,605(11):3-4.(WEI Feng-nian.Drawing lessons from Wenchuan earthquake and revision of code for seismic design of hydraulicstructures-interview with academician CHEN Hou-qun[J].China Water Resources,2008,605(11):3-4.(in Chinese))
[9]苏怀智,吴中如,戴会超.初探大坝安全智能融合监控体系[J].水力发电学报,2005,24(1):122-126,52.(SU Huai-zhi,WU Zhong-ru,DAI Hui-chao.System of theories and methods monitoring intelligently dam safety[J].Journal ofHydroelectric Engineering,2005,24(1):122-126,52.(in Chinese))
[10]朱伯芳,张国新,贾金生,等.混凝土坝的数字监控—提高大坝监控水平的新途径[J].水力发电学报,2009,28(1):130-136.(ZHUBo-fang,ZHANG Guo-xin,JIAJin-sheng,et al.Numerical monitoring of concrete dams-a newway for improvingthe safety control of concrete dams[J].Journal of Hydroelectric Engineering,2009,28(1):130-136.(in Chinese))
[11]特科特D L.分形与混沌:在地质学和地球物理学中的应用[M].陈颙,郑捷,季颖,译.北京:地震出版社,1993:21-201.(TURCOTTE D L.Fractals and chaos:applying in geology and geophysics[M].CHEN Yong,ZHENG Jie,JI Ying,Translating.Beijing:Earthquake Publish Company,1993:21-201.(in Chinese))
[12]LIU Bin,SHI Feng,GAO Yu-jin.Dynamic load balancing based on restricted multicast tree in homogeneous multiprocessorsystems[J].Journal of Beijing Institute of Technology,2008,17(2):184-188.
[13]马志涛,谭云亮.岩石破坏演化细观非均质物理元胞自动机模拟研究[J].岩石力学与工程学报,2005,24(15):2704-2708.(MA Zhi-tao,TAN Yun-liang.Simulation study of rock failure based on MH-PCA model[J].Chinese Journal of RockMechanics and Engineering,2005,24(15):2704-2708.(in Chinese))
[14]JENAB K,DHILLON B S.Assessment of reversible multi-state k-out-of-n:G/F/Load-Sharing systems with flow-graph models[J].Reliability Engineering and System Safety,2006,91(7):765-771.
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