梁式桥抗震分析中等效单自由度模型的适用范围
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摘要
将单柱式桥墩等效为单自由度体系进行计算,是抗震分析中常用的简化分析方法。研究了该简化分析方法在桥墩弹性、塑性响应两阶段的适用范围。首先,推导了基本振型质量参与系数的简化计算公式,以桥墩基本振型质量参与系数为等效程度评价指标,评价桥墩质量分布、墩高对等效程度的影响。其次,在桥墩响应的塑性阶段,验证了振型质量参与系数作为评价指标,在不同塑性程度下的适用性。研究结果可为选择恰当的单柱式桥墩抗震分析方法提供参考。
Applicability of the simplified method based on equivalent single-degree-of-freedom(ESDOF)for single-column pier with uniform cross-section is investigated in this paper.Firstly,expressions to evaluate the modal participating mass ratio of pier fundamental mode were obtained and the modal participating mass ratio of pier's fundamental mode was taken as an index to evaluate the accuracy of the simplified method.Using the proposed expressions,it was convenient to evaluate applicability of the simplified method with the height of pier and the ratio of distributed mass along the column to dumped mass at the top of pier.Finally,the index was verified in different nonlinear staged of piers.
Applicability of the simplified method based on equivalent single-degree-of-freedom(ESDOF)for single-column pier with uniform cross-section is investigated in this paper.Firstly,expressions to evaluate the modal participating mass ratio of pier fundamental mode were obtained and the modal participating mass ratio of pier's fundamental mode was taken as an index to evaluate the accuracy of the simplified method.Using the proposed expressions,it was convenient to evaluate applicability of the simplified method with the height of pier and the ratio of distributed mass along the column to dumped mass at the top of pier.Finally,the index was verified in different nonlinear staged of piers.
引文
[1]李茜,王克海,韦韩.高墩梁桥地震响应分析[J].地震工程与工程振动,20062,6(3):74-76.Li Q,Wang K H,Wei H.Seismic response analysis forgirder bridges with tall piers[J].EarthquakeEngineering and Engineering Vibration,2006,26(3):74-76.(in Chinese)
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[3]刘坤,陈兴冲,夏修身.铁路空心高墩的地震反应分析[J].兰州交通大学学报2,0052,4(4):20-23.Liu K,Chen X C,Xia X S.Analysis of seismic responseof railway hollow high pier[J].Journal of LanzhouJiaotong University,2005,24(4):20-23.(inChinese)
[4]Wilson J L.Earthquake response of tall reinforcedconcrete chimneys[J].Engineering Structures,2003,25(14):11-24.
[5]李建中,宋晓东,范立础.桥梁高墩位移延性能力的探讨[J].地震工程与工程振动,2005,25(1):44-48.Li J Z,Song X D,Fan L C.Investigation fordisplacement ductility capacity of tall piers[J].Earthquake Engineering and Engineering Vibration,2005,25(1):44-48.(in Chinese)
[6]梁智垚,李建中.桥梁高墩合理计算模型探讨[J].地震工程与工程振动,2007,27(2):92-98.Liang Z Y,Li J Z.Investigation on rational analyticalmodel of tall bridge pier[J].Earthquake Engineeringand Engineering Vibration,2007,27(2):92-98.(inChinese)
[7]Raymond W.Clough,Joseph Penzien.Dynamics ofStructures[M].Mcgraw-Hill College1,9851,34-136.
[8]Chopra A K.Dynamics of Structures-Theory andApplication to Earthquake Engineering[M].NewJersey:Prince Hall1,995.
[9]Wilson E L.Three dimensional static and dynamicanalysis of structures:a physical approach withemphasis on earthquake engineering[M].Berkley,California:Computers&Structures,2002c,hap.12-5.
[2]周国良.高墩及大跨桥梁的地震反应特性研究[D].北京:中国地震局地球物理研究所2,004.Zhou G L.On seismic response of high piers and long-span bridges[D].Beijing:Institute of geophysics,China earthquake administration2,004.(in Chinese)
[3]刘坤,陈兴冲,夏修身.铁路空心高墩的地震反应分析[J].兰州交通大学学报2,0052,4(4):20-23.Liu K,Chen X C,Xia X S.Analysis of seismic responseof railway hollow high pier[J].Journal of LanzhouJiaotong University,2005,24(4):20-23.(inChinese)
[4]Wilson J L.Earthquake response of tall reinforcedconcrete chimneys[J].Engineering Structures,2003,25(14):11-24.
[5]李建中,宋晓东,范立础.桥梁高墩位移延性能力的探讨[J].地震工程与工程振动,2005,25(1):44-48.Li J Z,Song X D,Fan L C.Investigation fordisplacement ductility capacity of tall piers[J].Earthquake Engineering and Engineering Vibration,2005,25(1):44-48.(in Chinese)
[6]梁智垚,李建中.桥梁高墩合理计算模型探讨[J].地震工程与工程振动,2007,27(2):92-98.Liang Z Y,Li J Z.Investigation on rational analyticalmodel of tall bridge pier[J].Earthquake Engineeringand Engineering Vibration,2007,27(2):92-98.(inChinese)
[7]Raymond W.Clough,Joseph Penzien.Dynamics ofStructures[M].Mcgraw-Hill College1,9851,34-136.
[8]Chopra A K.Dynamics of Structures-Theory andApplication to Earthquake Engineering[M].NewJersey:Prince Hall1,995.
[9]Wilson E L.Three dimensional static and dynamicanalysis of structures:a physical approach withemphasis on earthquake engineering[M].Berkley,California:Computers&Structures,2002c,hap.12-5.
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