索穹顶结构索杆破断的敏感性分析
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摘要
提出了基于应变能的索穹顶结构索杆破断敏感性分析方法及其指标,给出了敏感性系数的定义,即索杆破断后振动过程中结构总应变能变化幅值与索杆破断前平衡态结构总应变能的比值.以此系数作为评价结构对索杆破断敏感性的整体指标,将其应用于Levy型索穹顶结构索杆破断的敏感性分析,并与其他方法及指标进行了对比.结果表明:Levy型索穹顶对环索和中心撑杆的破断最为敏感,其中最外圈环索破断对应的敏感性系数最大,因此应着重提高环索和中心撑杆的安全储备;文中提出的评价指标对柔性索穹顶结构较为适用,能够从宏观上表征结构对索杆破断的敏感程度.
Proposed are a strain energy-based sensitivity analysis method and the corresponding evaluation index of cable-strut rupture for cable domes. Firstly,a sensitivity coefficient is defined as the ratio of the change amplitude of structural total strain energy in the vibration process after cable-strut rupture to that under the equilibrium before cable-strut rupture. Then,the defined coefficient is used as an overall index to evaluate the sensitivity of cablestrut rupture and is applied to the sensitivity analysis of cable-strut rupture for Levy cable dome. Finally,a comparison is made between the proposed method/index and the existing ones. The results show that Levy cable dome is most sensitive to the rupture of hoop cable and middle strut,and that the corresponding sensitivity coefficient reaches the maximum when the outer hoop cable is ruptured. Thus,the safety margin of hoop cable and middle strut should be both improved. The presented evaluation index is more applicable to flexible cable domes and is effective in representing the sensitive degree of structure to cable-strut rupture macroscopically.
Proposed are a strain energy-based sensitivity analysis method and the corresponding evaluation index of cable-strut rupture for cable domes. Firstly,a sensitivity coefficient is defined as the ratio of the change amplitude of structural total strain energy in the vibration process after cable-strut rupture to that under the equilibrium before cable-strut rupture. Then,the defined coefficient is used as an overall index to evaluate the sensitivity of cablestrut rupture and is applied to the sensitivity analysis of cable-strut rupture for Levy cable dome. Finally,a comparison is made between the proposed method/index and the existing ones. The results show that Levy cable dome is most sensitive to the rupture of hoop cable and middle strut,and that the corresponding sensitivity coefficient reaches the maximum when the outer hoop cable is ruptured. Thus,the safety margin of hoop cable and middle strut should be both improved. The presented evaluation index is more applicable to flexible cable domes and is effective in representing the sensitive degree of structure to cable-strut rupture macroscopically.
引文
[1]LEVYM P.Georgia dome and beyond achieving light weigh-long span structures[C]∥Proceedings of IASSASCE International Symposium.Atlanta:International Association for Shell and Spatial Structures,1994:560-562.
[2]TERRY W R.Georgia dome cable roof construction techniques[C]∥Proceedings of IASS-ASCE International Symposium.Atlanta:International Association for Shell and Spatial Structures,1994:563-572.
[3]YUAN X F,DONG S L.Nonlinear analysis and optimum design of cable domes[J].Engineering Structures,2002,24(7):965-977.
[4]YUAN X F,DONG S L.Integral feasible prestress of cable domes[J].Computers and Structures,2003,81(21):2111-2119.
[5]袁行飞,董石麟.索穹顶结构整体可行预应力概念及其应用[J].土木工程学报,2001,34(2):33-37.YUAN Xing-fei,DONG Shi-lin.Application of integrity feasible prestressing to tensegrity cable domes[J].China Civil Engineering Journal,2001,34(2):33-37.
[6]张沛,冯健.一种求解索杆张力结构整体自应力模态的能量方法[J].土木工程学报,2013,46(6):62-68.ZHANG Pei,FENG Jian.An energy method for overall self-stress modes calculation of cable-strut tension structures[J].China Civil Engineering Journal,2013,46(6):62-68.
[7]陈联盟,董石麟,袁行飞.索穹顶结构施工成形理论分析和试验研究[J].土木工程学报,2006,39(11):34-36.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Theoretical and experimental study on the construction of cable domes[J].China Civil Engineering Journal,2006,39(11):34-36.
[8]陈联盟,董石麟,袁行飞.索穹顶结构施工成形理论分析[J].工程力学,2008,25(4):134-139.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Theoretical analysis of construction procedures of cable-domes[J].Engineering Mechanics,2008,25(4):134-139.
[9]郑君华,袁行飞,董石麟.两种体系索穹顶结构的破坏形式及其受力性能研究[J].工程力学,2007,24(1):44-50.ZHENG Jun-hua,YUAN Xing-fei,DONG Shi-lin.Failure mode and behavior analysis of two types of cable domes[J].Engineering Mechanics,2007,24(1):44-50.
[10]陈联盟,董石麟,袁行飞.Kiewitt型索穹顶结构拉索退出工作机理分析[J].空间结构,2010,16(4):29-33.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Cable exit-working mechanism analysis of Kiewitt cable domes[J].Spatial Structures,2010,16(4):29-33.
[11]何键,袁行飞,金波.索穹顶结构局部断索分析[J].振动与冲击,2010,29(11):13-16.HE Jian,YUAN Xing-fei,JIN Bo.Analysis of cable domes with rupture of local cable[J].Journal of Vibration and Shock,2010,29(11):13-16.
[12]宗钟凌,郭正兴.葵花型索穹顶结构力学性能及拉索破断试验研究[J].工程力学,2013,30(1):271-276.ZONG Zhong-ling,GUO Zheng-xing.Experimental research on mechanical properties and cable broken of Levy cable dome[J].Engineering Mechanics,2013,30(1):271-276.
[13]梁昊庆,董石麟.局部索杆失效对肋环人字型索穹顶结构受力性能的影响[J].建筑结构学报,2015,36(5):70-80.LIANG Hao-qing,DONG Shi-lin.Effect of local failure on structural behavior of herringbone ribbed dome[J].Journal of Building Structures,2015,36(5):70-80.
[14]黄华,冼耀强,刘伯权,等.轮辐式索膜结构连续倒塌性能分析[J].振动与冲击,2015,34(20):27-36.HUANG Hua,XIAN Yao-qiang,LIU Bo-quan,et al.Progressive collapse property of wheel-spoke cable-membrane structure[J].Journal of Vibration and Shock,2015,34(20):27-36.
[15]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.ZHANG Lei-ming,LIU Xi-la.Network of energy transfer in frame structures and its preliminary application[J].China Civil Engineering Journal,2007,40(3):45-49.
[16]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.YE Lie-ping,LIN Xu-chuan,QU Zhe,et al.Evaluatingmethod of mlement importance of structural system based on generalized structural stiffness[J].Journal of Architecture and Civil Engineering,2010,27(1):1-6.
[2]TERRY W R.Georgia dome cable roof construction techniques[C]∥Proceedings of IASS-ASCE International Symposium.Atlanta:International Association for Shell and Spatial Structures,1994:563-572.
[3]YUAN X F,DONG S L.Nonlinear analysis and optimum design of cable domes[J].Engineering Structures,2002,24(7):965-977.
[4]YUAN X F,DONG S L.Integral feasible prestress of cable domes[J].Computers and Structures,2003,81(21):2111-2119.
[5]袁行飞,董石麟.索穹顶结构整体可行预应力概念及其应用[J].土木工程学报,2001,34(2):33-37.YUAN Xing-fei,DONG Shi-lin.Application of integrity feasible prestressing to tensegrity cable domes[J].China Civil Engineering Journal,2001,34(2):33-37.
[6]张沛,冯健.一种求解索杆张力结构整体自应力模态的能量方法[J].土木工程学报,2013,46(6):62-68.ZHANG Pei,FENG Jian.An energy method for overall self-stress modes calculation of cable-strut tension structures[J].China Civil Engineering Journal,2013,46(6):62-68.
[7]陈联盟,董石麟,袁行飞.索穹顶结构施工成形理论分析和试验研究[J].土木工程学报,2006,39(11):34-36.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Theoretical and experimental study on the construction of cable domes[J].China Civil Engineering Journal,2006,39(11):34-36.
[8]陈联盟,董石麟,袁行飞.索穹顶结构施工成形理论分析[J].工程力学,2008,25(4):134-139.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Theoretical analysis of construction procedures of cable-domes[J].Engineering Mechanics,2008,25(4):134-139.
[9]郑君华,袁行飞,董石麟.两种体系索穹顶结构的破坏形式及其受力性能研究[J].工程力学,2007,24(1):44-50.ZHENG Jun-hua,YUAN Xing-fei,DONG Shi-lin.Failure mode and behavior analysis of two types of cable domes[J].Engineering Mechanics,2007,24(1):44-50.
[10]陈联盟,董石麟,袁行飞.Kiewitt型索穹顶结构拉索退出工作机理分析[J].空间结构,2010,16(4):29-33.CHEN Lian-meng,DONG Shi-lin,YUAN Xing-fei.Cable exit-working mechanism analysis of Kiewitt cable domes[J].Spatial Structures,2010,16(4):29-33.
[11]何键,袁行飞,金波.索穹顶结构局部断索分析[J].振动与冲击,2010,29(11):13-16.HE Jian,YUAN Xing-fei,JIN Bo.Analysis of cable domes with rupture of local cable[J].Journal of Vibration and Shock,2010,29(11):13-16.
[12]宗钟凌,郭正兴.葵花型索穹顶结构力学性能及拉索破断试验研究[J].工程力学,2013,30(1):271-276.ZONG Zhong-ling,GUO Zheng-xing.Experimental research on mechanical properties and cable broken of Levy cable dome[J].Engineering Mechanics,2013,30(1):271-276.
[13]梁昊庆,董石麟.局部索杆失效对肋环人字型索穹顶结构受力性能的影响[J].建筑结构学报,2015,36(5):70-80.LIANG Hao-qing,DONG Shi-lin.Effect of local failure on structural behavior of herringbone ribbed dome[J].Journal of Building Structures,2015,36(5):70-80.
[14]黄华,冼耀强,刘伯权,等.轮辐式索膜结构连续倒塌性能分析[J].振动与冲击,2015,34(20):27-36.HUANG Hua,XIAN Yao-qiang,LIU Bo-quan,et al.Progressive collapse property of wheel-spoke cable-membrane structure[J].Journal of Vibration and Shock,2015,34(20):27-36.
[15]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.ZHANG Lei-ming,LIU Xi-la.Network of energy transfer in frame structures and its preliminary application[J].China Civil Engineering Journal,2007,40(3):45-49.
[16]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.YE Lie-ping,LIN Xu-chuan,QU Zhe,et al.Evaluatingmethod of mlement importance of structural system based on generalized structural stiffness[J].Journal of Architecture and Civil Engineering,2010,27(1):1-6.