考虑摩擦滑移的板式橡胶支座桥梁位移设计方法
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摘要
通过5个板式橡胶支座的摩擦滑移拟静力试验,研究板式橡胶支座摩擦滑移后等效阻尼比的变化,并给出等效阻尼比的拟合公式,进一步给出考虑摩擦滑移的板式橡胶支座桥梁的位移设计方法,并对一双自由度简化桥梁模型进行时程分析验证。结果表明,考虑摩擦滑移的板式橡胶支座等效阻尼比与实际情况符合较好,可应用于直接基于位移的抗震设计中;建议的位移设计方法假定上部结构位移,利用体系等效阻尼比通过迭代收敛得出桥梁替代结构系统的最大位移,作为非线性结构的最大位移。基于位移的设计方法简单有效而且满足工程设计精度要求,可用于考虑摩擦滑移的板式橡胶支座桥梁的抗震设计。
Through five laminated rubber bearing friction slipping of quasi static test, the equivalent damping ratio after friction slipping was studied, and the fitting formula of equivalent damping ratio was presented, the displacement-based design method for bridges with laminated rubber bearing was also given, and time history analysis of a double degrees of freedom simplified bridge model have been carried out to verify. Results showed that, the equivalent damping ratio of laminated rubber bearing considering the friction slipping coincided well with the actual situation which can be used in the direct displacement-based seismic design; the suggested displacement design method by assuming that the upper structure system of displacement and equivalent damping ratio of bridge through iterative convergence which result the maximal displacement of nonlinear structure. The displacement-based seismic design method is simple and effective which can meet the requirements of engineering design precision and can be used to seismic design of bridge with laminated rubber bearing considering friction and sliding.
Through five laminated rubber bearing friction slipping of quasi static test, the equivalent damping ratio after friction slipping was studied, and the fitting formula of equivalent damping ratio was presented, the displacement-based design method for bridges with laminated rubber bearing was also given, and time history analysis of a double degrees of freedom simplified bridge model have been carried out to verify. Results showed that, the equivalent damping ratio of laminated rubber bearing considering the friction slipping coincided well with the actual situation which can be used in the direct displacement-based seismic design; the suggested displacement design method by assuming that the upper structure system of displacement and equivalent damping ratio of bridge through iterative convergence which result the maximal displacement of nonlinear structure. The displacement-based seismic design method is simple and effective which can meet the requirements of engineering design precision and can be used to seismic design of bridge with laminated rubber bearing considering friction and sliding.
引文
[1]陈乐生,庄卫林,赵河清,等.汶川地震公路震害调查:桥梁[M].北京:人民交通出版社,2012(Chen Lesheng,Zhuang Weilin,Zhao Heqing,et al.Report on highways’damage in the Wenchuan earthquake[M].Beijing:China Communications Press,2012(in Chinese))
[2]王克海,李冲,李悦.中国公路桥梁抗震设计规范中存在的问题及改进建议[J].建筑科学与工程学报,2013,30(2):95-103(Wang Kehai,Li Chong,Li Yue.Problems in Chinese highway bridge seismic specifications and suggestions for improvement[J].Journal of Architecture and Civil Engineering,2013,30(2):95-103(in Chinese))
[3]Chang Kuochun,Lu Chihhuang,Liu Kuang-Yen.Displacement-based design for highway bridges with functional bearing system[R].Taiwan:NCREE,2011.
[4]Steelman J S,Fahnestock L A,Filipov E T,et al.Shear and friction response of nonseismic laminated elastomeric bridge bearings subjected to seismic demands[J].Journal of Bridge Engineering,2013,18(7):612-623
[5]王克海,韦韩,李茜,等.中小跨径公路桥梁抗震设计理念[J].土木工程学报,2012,45(9):115-121(Wang Kehai,Wei Han,Li Qian,et al.Philosophies on seismic design of highway bridges of small o r medium spans[J].China Civil Engineering Journal,2012,45(9):115-121(in Chinese))
[6]王克海,李冲,李茜,等.考虑支座摩擦滑移的中小跨径桥梁抗震设计方法[J].工程力学,2014,31(6):85-92(Wang Kehai,Li Chong,Li Qian,et al.Seismic design method of small and medium span bridge considering bearing friction slipping[J].Engineering Mechanics,2014,31(6):85-92(in Chinese))
[7]JT/T 663—2006公路桥梁板式橡胶支座规格系列[S].北京:人民交通出版社,2007(JT/T 663—2006 Series of elastomeric pad bearings for highway bridges[S].Beijing:China Communications Press,2007(in Chinese))
[8]李冲,王克海,李悦,等.板式橡胶支座摩擦滑移抗震性能试验研究[J].东南大学学报:自然科学版,2014,44(1):162-167(Li Chong,Wang Kehai,Li Yue,et al.Experimental study on seismic performance of laminated rubber bearings with friction slipping[J]Journal of Southeast University:Natural Science Edition,2014,44(1):162-167(in Chinese))
[9]Priestley M J N,Calvi G M,Kowalsky M J.Direct displacement-based seismic design of structures[C]//5th New Zealand Society for Earthquake Engineering Conference,2007
[10]陆本燕,刘伯权,刘鸣,等.等效阻尼比对基于位移的抗震设计的影响分析[J].防灾减灾工程学报,2010,30(6):667-673(Lu Benyan,Liu Boquan,Liu Ming,et al.Analysis of equivalent damping ratio on displacementbased seismic design[J].Journal of Disaster Prevention and Mitigation Engineering,2010,30(6):667-673(in Chinese))
[11]马恺泽,鄢红良,刘伯权,等.基于位移的抗震设计方法中的等效阻尼模型的研究[J].地震工程与工程震动,2013,33(4):134-139(Ma Kaize,Yan Hongliang,Liu Boquan,et al.Research on equivalent damping ratio for displacementbased seismic design method[J].Journal of Earthquake Engineering and Engineering Vibration,2013,33(4):134-139(in Chinese))
[2]王克海,李冲,李悦.中国公路桥梁抗震设计规范中存在的问题及改进建议[J].建筑科学与工程学报,2013,30(2):95-103(Wang Kehai,Li Chong,Li Yue.Problems in Chinese highway bridge seismic specifications and suggestions for improvement[J].Journal of Architecture and Civil Engineering,2013,30(2):95-103(in Chinese))
[3]Chang Kuochun,Lu Chihhuang,Liu Kuang-Yen.Displacement-based design for highway bridges with functional bearing system[R].Taiwan:NCREE,2011.
[4]Steelman J S,Fahnestock L A,Filipov E T,et al.Shear and friction response of nonseismic laminated elastomeric bridge bearings subjected to seismic demands[J].Journal of Bridge Engineering,2013,18(7):612-623
[5]王克海,韦韩,李茜,等.中小跨径公路桥梁抗震设计理念[J].土木工程学报,2012,45(9):115-121(Wang Kehai,Wei Han,Li Qian,et al.Philosophies on seismic design of highway bridges of small o r medium spans[J].China Civil Engineering Journal,2012,45(9):115-121(in Chinese))
[6]王克海,李冲,李茜,等.考虑支座摩擦滑移的中小跨径桥梁抗震设计方法[J].工程力学,2014,31(6):85-92(Wang Kehai,Li Chong,Li Qian,et al.Seismic design method of small and medium span bridge considering bearing friction slipping[J].Engineering Mechanics,2014,31(6):85-92(in Chinese))
[7]JT/T 663—2006公路桥梁板式橡胶支座规格系列[S].北京:人民交通出版社,2007(JT/T 663—2006 Series of elastomeric pad bearings for highway bridges[S].Beijing:China Communications Press,2007(in Chinese))
[8]李冲,王克海,李悦,等.板式橡胶支座摩擦滑移抗震性能试验研究[J].东南大学学报:自然科学版,2014,44(1):162-167(Li Chong,Wang Kehai,Li Yue,et al.Experimental study on seismic performance of laminated rubber bearings with friction slipping[J]Journal of Southeast University:Natural Science Edition,2014,44(1):162-167(in Chinese))
[9]Priestley M J N,Calvi G M,Kowalsky M J.Direct displacement-based seismic design of structures[C]//5th New Zealand Society for Earthquake Engineering Conference,2007
[10]陆本燕,刘伯权,刘鸣,等.等效阻尼比对基于位移的抗震设计的影响分析[J].防灾减灾工程学报,2010,30(6):667-673(Lu Benyan,Liu Boquan,Liu Ming,et al.Analysis of equivalent damping ratio on displacementbased seismic design[J].Journal of Disaster Prevention and Mitigation Engineering,2010,30(6):667-673(in Chinese))
[11]马恺泽,鄢红良,刘伯权,等.基于位移的抗震设计方法中的等效阻尼模型的研究[J].地震工程与工程震动,2013,33(4):134-139(Ma Kaize,Yan Hongliang,Liu Boquan,et al.Research on equivalent damping ratio for displacementbased seismic design method[J].Journal of Earthquake Engineering and Engineering Vibration,2013,33(4):134-139(in Chinese))
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