圬工拱桥重要性系数分布与倒塌模式相关性研究
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摘要
系统研究基于广义刚度法的构件重要性评价理论在桥梁结构倒塌过程分析中的应用,具体包括以下内容:①推导基于实体单元高斯点应力计算的单元重要性系数计算公式;②用C#和VS.net 2005编程实现单元重要性系数的计算和显示程序的开发;③采用上述程序研究悬臂梁重要性系数的分布以及在重要性系数最大的单元旁进行加固后结构重要性系数的变化;④进一步研究双跨圬工拱桥在试验荷载作用下的重要性系数分布与倒塌模式的关系,并与试验结构进行对比验证。研究结果表明:①在重要性系数最大的单元处进行加固将有效降低最大结构重要性系数,并能使单元重要性系数分布均匀;②结构重要性系数分布局部峰值对应着破坏时可能出现塑性铰的最大个数,且塑性铰出现的顺序由重要性系数局部峰值高的位置向重要性系数局部峰值低的位置传递;③线弹性计算结构重要性系数局部峰值分布位置与考虑结构材料非线性计算结果一致,但方差更大。
The application of the component importance evaluation theory in collapsing process analysis of bridge is studied based on the Generalized Rigidity Method.The research includes the following aspects: ① the calculation formula of unit importance coefficient is deduced on the basis of Gauss point stress calculation in solid element,② the calculation of unit importance coefficient and the display program are realized using C# and VS.net 2005,③the importance coefficient distribution of cantilever beam structure and the changes of importance coefficient after reinforcement in the side of the maximum unit are also discussed,④ the further research will focus on the correlation between importance coefficient distribution and collapse mode of two-span masonry arch bridge under the test load.The results indicate that the reinforcement on the element with maximum coefficient can effectively reduce the importance coefficient and make the unit importance coefficient distribution smoother.In addition,the local peak of importance coefficient distribution corresponds to the possible maximum number of plastic hinge when the unit is damaged,and the appearance order of plastic hinge is arranged from high position to low position by the local peak of importance coefficient distribution.For the local peak distribution of unit importance coefficient,the results calculated by linear elastic theory agree well with the circumstance considering material nonlinearity but the variance is bigger.
The application of the component importance evaluation theory in collapsing process analysis of bridge is studied based on the Generalized Rigidity Method.The research includes the following aspects: ① the calculation formula of unit importance coefficient is deduced on the basis of Gauss point stress calculation in solid element,② the calculation of unit importance coefficient and the display program are realized using C# and VS.net 2005,③the importance coefficient distribution of cantilever beam structure and the changes of importance coefficient after reinforcement in the side of the maximum unit are also discussed,④ the further research will focus on the correlation between importance coefficient distribution and collapse mode of two-span masonry arch bridge under the test load.The results indicate that the reinforcement on the element with maximum coefficient can effectively reduce the importance coefficient and make the unit importance coefficient distribution smoother.In addition,the local peak of importance coefficient distribution corresponds to the possible maximum number of plastic hinge when the unit is damaged,and the appearance order of plastic hinge is arranged from high position to low position by the local peak of importance coefficient distribution.For the local peak distribution of unit importance coefficient,the results calculated by linear elastic theory agree well with the circumstance considering material nonlinearity but the variance is bigger.
引文
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[9]李易,叶列平,陆新征.基于能量方法的RC框架结构连续倒塌抗力需求分析Ⅰ:梁机制[J].建筑结构学报,2011,32(11):1-8(Li Yi,Ye Lieping,Lu Xinzheng.Progressive collapse resistance demand of RC framestructures based on energy method I:beam mechanism[J].Journal of Building Structures,2011,32(11):1-8(inChinese))
[10]卢啸,陆新征,张劲泉,等.某石拱桥连续倒塌模拟及构件重要性评价[J].兰州交通大学学报,2010,29(6):25-30(Lu Xiao,Lu Xinzheng,Zhang Jinquan,et al.Progressive collapse simulation and components importanceevaluation of a stone arch bridge[J].Journal of LanzhouJiaotong University,2010,29(6):25-30(in Chinese))
[11]卢啸,陆新征,叶列平,等.钢筋混凝土拱桥构件重要性评价及超载导致倒塌破坏模拟[J].计算机辅助工程,2010,19(3):26-30(Lu Xiao,Lu Xinzheng,Ye Lieping,et al.Component importance evaluation and overload-induced collapse simulation for reinforced concrete archbridge[J].Computer Aided Engineering,2010,19(3):26-30(in Chinese))
[2]江晓峰,陈以一.建筑结构连续性倒塌及其控制设计的研究现状[J].土木工程学报,2008,41(6):1-8(JiangXiaofeng,Chen Yiyi.A review on the progressive collapseand control design of building structures[J].China CivilEngineering Journal,2008,41(6):1-8(in Chinese))
[3]Nafday A M.System safety performance metrics for skeletalstructures[J].Journal of Structural Engineering,2008,134(3):499-504
[4]柳承茂,刘西拉.基于刚度的构件重要性评估及其与冗余度的关系[J].上海交通大学学报,2005,39(5):746-750(Liu Chengmao,Liu Xila.Stiffness-based evaluation ofcomponent importance and its relationship with redundancy[J].Journal of Shanghai Jiaotong University,2005,39(5):746-750(in Chinese))
[5]叶列平,林旭川,曲哲,等.基于广义结构刚度的构件重要性评价方法[J].建筑科学与工程学报,2010,27(1):1-6,20(Ye Lieping,Lin Xuchuan,Qu Zhe,et al.Evaluating method of element importance of structuralsystem based on generalized structural stiffness[J].Journalof Architecture and Civil Engineering,2010,27(1):1-6,20(in Chinese))
[6]叶列平,程光煜,陆新征,等.论结构抗震的鲁棒性[J].建筑结构,2008,38(6):11-15(Ye Lieping,ChengGuangyu,Lu Xinzheng,et al.Introduction of robustnessfor seismic structures[J].Building Structures,2008,38(6):11-15(in Chinese))
[7]张雷明,刘西拉.框架结构能量流网络及其初步应用[J].土木工程学报,2007,40(3):45-49(ZhangLeiming,Liu Xila.Network of energy transfer in framestructures and its preliminary application[J].China CivilEngineering Journal,2007,40(3):45-49(in Chinese))
[8]李易,陆新征,叶列平.基于能量方法的RC框架结构连续倒塌抗力需求分析Ⅱ:悬链线机制[J].建筑结构学报,2011,32(11):9-16(Li Yi,Lu Xinzheng,Ye Lieping.Progressive collapse resistance demand of RC framestructures based on energy methodⅡ:catenary mechanism[J].Journal of Building Structures,2011,32(11):9-16(in Chinese))
[9]李易,叶列平,陆新征.基于能量方法的RC框架结构连续倒塌抗力需求分析Ⅰ:梁机制[J].建筑结构学报,2011,32(11):1-8(Li Yi,Ye Lieping,Lu Xinzheng.Progressive collapse resistance demand of RC framestructures based on energy method I:beam mechanism[J].Journal of Building Structures,2011,32(11):1-8(inChinese))
[10]卢啸,陆新征,张劲泉,等.某石拱桥连续倒塌模拟及构件重要性评价[J].兰州交通大学学报,2010,29(6):25-30(Lu Xiao,Lu Xinzheng,Zhang Jinquan,et al.Progressive collapse simulation and components importanceevaluation of a stone arch bridge[J].Journal of LanzhouJiaotong University,2010,29(6):25-30(in Chinese))
[11]卢啸,陆新征,叶列平,等.钢筋混凝土拱桥构件重要性评价及超载导致倒塌破坏模拟[J].计算机辅助工程,2010,19(3):26-30(Lu Xiao,Lu Xinzheng,Ye Lieping,et al.Component importance evaluation and overload-induced collapse simulation for reinforced concrete archbridge[J].Computer Aided Engineering,2010,19(3):26-30(in Chinese))
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