简支梁桥顺桥向地震动分析
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摘要
为了计算多跨简支梁桥地震荷载,根据弹性地基上桥墩的变形特性,将墩顶作用单位集中力时,桥墩静力挠度曲线方程作为基本振型,考虑了地基变形的影响,利用拉格朗日方程推导了多跨简支梁桥顺桥向地震振动方程,给出了相应的基频和振型参与系数的近似计算公式。仿真计算结果表明:简支梁桥一、二阶自振频率的计算值分别为7.43及11.19 Hz,而其试验值分别为7.00及10.55Hz,其误差在5.8%以内。可见,提出的振型可以用于简支梁桥顺桥向的抗震性能评估。
In order to compute the seismic loads of multi-span simply-supported beam bridge,according to the deformation behavior of piers sited on elastic foundations,pier's deflection function was taken as the fundamental vibration mode,it was derived under unit force acting on pier's top,the effect of foundation deformation was taken into account,the longitudinal seismic vibration equation of the bridge was deduced by Lagrange function,and the approximate formulas of its fundamental frequency and participation factors were put forward.Simulated result shows that the first and second calculated vibration frequencies are 7.43 and 11.19 Hz respectively,and their corresponding test values are 7.00 and 10.55 Hz respectively,their errors aren't more than 5.8%,which demonstrates that the mode is appropriate for assessing the longitudinal seismic performance of the bridge.1 tab,4 figs,11 refs.
In order to compute the seismic loads of multi-span simply-supported beam bridge,according to the deformation behavior of piers sited on elastic foundations,pier's deflection function was taken as the fundamental vibration mode,it was derived under unit force acting on pier's top,the effect of foundation deformation was taken into account,the longitudinal seismic vibration equation of the bridge was deduced by Lagrange function,and the approximate formulas of its fundamental frequency and participation factors were put forward.Simulated result shows that the first and second calculated vibration frequencies are 7.43 and 11.19 Hz respectively,and their corresponding test values are 7.00 and 10.55 Hz respectively,their errors aren't more than 5.8%,which demonstrates that the mode is appropriate for assessing the longitudinal seismic performance of the bridge.1 tab,4 figs,11 refs.
引文
[1]JTJ 004-89,公路工程抗震设计规范[S].
[2]JTJ 024-85,公路桥涵地基与基础设计规范[S].
[3]周勇军,贺拴海,宋一凡,等.在役桥梁结构延性系数的动力评价方法[J].长安大学学报:自然科学版,2005,25(4):35-38.Zhou Yong-jun,He Shuan-hai,Song Yi-fan,et al.Dynamicassessment method of ductility coefficient for existing beambridges[J].Journal of Chang an University:Natural ScienceEdition,2005,25(4):35-38.(in Chinese)
[4]宋一凡,贺拴海,曹继伟.基于能量原理的框架桥墩地震力分析[J].长安大学学报:自然科学版,2002,22(1):36-40.Song Yi-fan,He Shuan-hai,Cao Ji-wei.Analysis for trans-verse seismic forces of the frame bridge piers based on energyprinciple[J].Journal of Chang an University:Natural Sci-ence Edition,2002,22(1):36-40.(in Chinese)
[5]宋一凡,周勇军,贺拴海,等.连续梁桥横桥向地震动分析[J].振动与冲击,2006,25(2):147-151.Song Yi-fan,Zhou Yong-jun,He Shuan-hai,et al.Trans-verse seismic analysis of continuous bridges[J].Journal ofVibration and Shock,2006,25(2):147-151.(in Chinese)
[6]周勇军,赵小星,宋一凡,等.连续梁桥模态分析与试验[J].长安大学学报:自然科学版,2007,27(3):57-60.Zhou Yong-jun,Zhao Xiao-xing,Song Yi-fan,et al.Modalanalysis and experi ment test of continuous beam bridge[J].Journal of Chang an University:Natural Science Edition,2007,27(3):57-60.(in Chinese)
[7]周敉,贺拴海,袁万城.RC梁桥承载力的振动测试评估方法[J].交通运输工程学报,2006,6(3):62-67.Zhou Mi,He Shuan-hai,Yuan Wan-cheng.Capacity evalua-tion of RC girder bridge with vibration testing technique[J].Journal of Traffic and Transportation Engineering,2006,6(3):62-67.(in Chinese)
[8]王东升,杨海红,王国新.考虑邻梁碰撞的多跨长简支梁桥落梁震害分析[J].中国公路学报,2005,18(3):54-59.Wang Dong-sheng,Yang Hai-hong,Wang Guo-xin.Seismicanalysis of girders falling downin multi-spanlong si mply sup-ported bridges with adjacent pounding effects[J].China Jour-nal of Highway and Transport,2005,18(3):54-59.(in Chi-nese)
[9]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.Song Yi-fan,Chen Rong-feng.Analysis method of vehicle vi-bration response caused by pavement roughness[J].Journalof Traffic and Transportation Engineering,2007,7(4):39-43.(in Chinese)
[10]Hasan K,Rene M,Achintya H.Health assessment at locallevel with unknowninput excitation[J].Journal of StructuralEngineering,2005,131(6):956-965.
[11]Rojas P,Ricles J M,Sause R.Seismic performance of post-tensioned steel moment resisting frames with frictiondevices[J].Journal of Structural Engineering,2005,131(4):529-540.
[2]JTJ 024-85,公路桥涵地基与基础设计规范[S].
[3]周勇军,贺拴海,宋一凡,等.在役桥梁结构延性系数的动力评价方法[J].长安大学学报:自然科学版,2005,25(4):35-38.Zhou Yong-jun,He Shuan-hai,Song Yi-fan,et al.Dynamicassessment method of ductility coefficient for existing beambridges[J].Journal of Chang an University:Natural ScienceEdition,2005,25(4):35-38.(in Chinese)
[4]宋一凡,贺拴海,曹继伟.基于能量原理的框架桥墩地震力分析[J].长安大学学报:自然科学版,2002,22(1):36-40.Song Yi-fan,He Shuan-hai,Cao Ji-wei.Analysis for trans-verse seismic forces of the frame bridge piers based on energyprinciple[J].Journal of Chang an University:Natural Sci-ence Edition,2002,22(1):36-40.(in Chinese)
[5]宋一凡,周勇军,贺拴海,等.连续梁桥横桥向地震动分析[J].振动与冲击,2006,25(2):147-151.Song Yi-fan,Zhou Yong-jun,He Shuan-hai,et al.Trans-verse seismic analysis of continuous bridges[J].Journal ofVibration and Shock,2006,25(2):147-151.(in Chinese)
[6]周勇军,赵小星,宋一凡,等.连续梁桥模态分析与试验[J].长安大学学报:自然科学版,2007,27(3):57-60.Zhou Yong-jun,Zhao Xiao-xing,Song Yi-fan,et al.Modalanalysis and experi ment test of continuous beam bridge[J].Journal of Chang an University:Natural Science Edition,2007,27(3):57-60.(in Chinese)
[7]周敉,贺拴海,袁万城.RC梁桥承载力的振动测试评估方法[J].交通运输工程学报,2006,6(3):62-67.Zhou Mi,He Shuan-hai,Yuan Wan-cheng.Capacity evalua-tion of RC girder bridge with vibration testing technique[J].Journal of Traffic and Transportation Engineering,2006,6(3):62-67.(in Chinese)
[8]王东升,杨海红,王国新.考虑邻梁碰撞的多跨长简支梁桥落梁震害分析[J].中国公路学报,2005,18(3):54-59.Wang Dong-sheng,Yang Hai-hong,Wang Guo-xin.Seismicanalysis of girders falling downin multi-spanlong si mply sup-ported bridges with adjacent pounding effects[J].China Jour-nal of Highway and Transport,2005,18(3):54-59.(in Chi-nese)
[9]宋一凡,陈榕峰.基于路面不平整度的车辆振动响应分析方法[J].交通运输工程学报,2007,7(4):39-43.Song Yi-fan,Chen Rong-feng.Analysis method of vehicle vi-bration response caused by pavement roughness[J].Journalof Traffic and Transportation Engineering,2007,7(4):39-43.(in Chinese)
[10]Hasan K,Rene M,Achintya H.Health assessment at locallevel with unknowninput excitation[J].Journal of StructuralEngineering,2005,131(6):956-965.
[11]Rojas P,Ricles J M,Sause R.Seismic performance of post-tensioned steel moment resisting frames with frictiondevices[J].Journal of Structural Engineering,2005,131(4):529-540.
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