西安小雁塔动态特性计算分析
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摘要
为了研究土与结构相互作用对砖石古塔动态特性计算结果的影响规律,建立是否考虑土与结构相互作用时西安小雁塔的数值分析模型,计算了小雁塔的前2阶振型及周期,并将理论计算结果与实测结果进行比较。结果表明:采用理论计算法与数值分析法计算砖石古塔的动态特性时,第1阶周期的计算结果均与实测结果较为接近;第2阶周期的计算结果均与实测结果偏差较大,在考虑土与结构相互作用时,数值计算结果与实测结果偏差反而加大;土与结构相互作用对砖石古塔高阶振型的计算结果影响显著。
To study the influence of co-interaction of soil and structures on dynamical characters of masonry pagodas,the numerical analysis model of Xiaoyan Tower in Xi'an was established based on either considering co-interaction of soil and structure or without considering co-interaction.The first two vibration modes and periods were calculated.The theoretical calculation results were also contrasted with measured test results.Results show that the first period of the masonry pagoda by calculation result is close to that of measured test result when dynamical characteristics of masonry pagodas are calculated by theoretical calculation method and numerical analysis method.The second period is widely from the test.Moreover,the result that includes co-interaction of soil and structure is widely greatly.Therefore,the impacts of co-interaction of soil and structure to high vibration modes of masonry pagodas on calculation results are heavily.
To study the influence of co-interaction of soil and structures on dynamical characters of masonry pagodas,the numerical analysis model of Xiaoyan Tower in Xi'an was established based on either considering co-interaction of soil and structure or without considering co-interaction.The first two vibration modes and periods were calculated.The theoretical calculation results were also contrasted with measured test results.Results show that the first period of the masonry pagoda by calculation result is close to that of measured test result when dynamical characteristics of masonry pagodas are calculated by theoretical calculation method and numerical analysis method.The second period is widely from the test.Moreover,the result that includes co-interaction of soil and structure is widely greatly.Therefore,the impacts of co-interaction of soil and structure to high vibration modes of masonry pagodas on calculation results are heavily.
引文
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[5]雷文军,魏德敏.无限域地基有限元分析的简化粘弹性边界[J].地震工程与工程振动,2005,25(3):110-114.LEI Wen-jun,WEI De-min.Spring-viscous Boundaryin Finite Element Analyses for Infinite Media[J].Earthquake Engineering and Engineering Vibration,2005,25(3):110-114.
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[9]孟昭博,袁俊,吴敏哲,等.古建筑高台基对地震反应的影响[J].西安建筑科技大学学报:自然科学版,2008,40(6):835-840.MENG Zhao-bo,YUAN Jun,WU Min-zhe,et al.TheInfluence of High-station Base of Ancient Building onIts Seismic Responses[J].Journal of Xi an Universityof Architecture&Technology:Natural Science Edi-tion,2008,40(6):835-840.
[10]洪斌,杜少文.土基回弹模量分布特征的研究[J].筑路机械与施工机械化,2006,23(10):44-46.HONG Bin,DU Shao-wen.Distribution Characteristicof Resilience Modulus of Soil Base in Asphalt Pave-ment Design[J].Road Machinery&ConstructionMechanization,2006,23(10):44-46.
[11]詹永祥,蒋关鲁.桩板结构路基桩-土工作特性[J].交通运输工程学报,2009,9(4):38-42.ZHAN Yong-xiang,JIANG Guan-lu.Pile-soil Interac-tion Properties of Pile-plank Embankment[J].Journalof Traffic and Transportation Engineering,2009,9(4):38-42.
[12]石坚,武莹,贺建辉.上部结构、筏板基础和地基共同作用的有限元分析[J].建筑科学与工程学报,2006,23(2):72-75.SHI Jian,WU Ying,HE Jian-hui.FEA on Interactionof Super Structure,Raft Foundation and Ground Base[J].Journal of Architecture and Civil Engineering,2006,23(2):72-75.
[13]童立元,王斌,刘义怀.地震地基液化大变形对桥梁桩基危害性三维数值分析[J].交通运输工程学报,2007,7(3):91-94.TONG Li-yuan,WANG Bin,LIU Yi-huai.3-D Numer-ical Analysis of Large Subsoil Liquefaction DistortionInfluence Resulted from Earthquake on Bridge PileFoundation[J].Journal of Traffic and TransportationEngineering,2007,7(3):91-94.
[14]计宏,卢文晓.静压桩挤土扩孔的有限元数值模拟研究[J].西安科技大学学报,2009,29(6):722-725.JI Hong,LU Wen-xiao.FEM Numerical Simulation ofHole Expansion Caused by Driving Static Pressure[J].Journal of Xi an University of Science and Tech-nology,2009,29(6):722-725.
[15]南亚林,韩晓雷,卢坤林.黄土地区抗滑桩合理桩间距的确定方法[J].西安科技大学学报,2009,29(4):465-469.NAN Ya-lin,HAN Xiao-lei,LU Kun-lin.RationalSpacing Between Adjacent Anti-slide Piles in the Areaof Loess[J].Journal of Xi an University of Scienceand Technology,2009,29(4):465-469.
[16]曹平,朱宝龙,陈强.微型圆柱加固平面滑坡的桩间距分析[J].西安科技大学学报,2009,29(5):626-630.CAO Ping,ZHU Bao-long,CHEN Qiang.Analysis onthe Space of Circular Micro-piles in Plannar Failure[J].Journal of Xi an University of Science and Tech-nology,2009,29(5):626-630.
[2]卢俊龙.砖石古塔土-结构相互作用理论与应用研究[D].西安:西安建筑科技大学,2008.LU Jun-long.Research on Theory and Application ofCo-interaction of Soil and Structure of Masonry Pago-das[D].Xi an:Xi an University of Architecture andTechnology,2008.
[3]李建波.结构-地基动力相互作用的时域数值分析方法研究[D].大连:大连理工大学,2005.LI Jian-bo.Numerical Analysis of the Infinite Soil-structure Dynamic Interaction Within the Frameworkof Time-domain Substructure Method[D].Dalian:Dalian University of Technology,2005.
[4]赵密.粘弹性人工边界及其与透射人工边界的比较研究[D].北京:北京工业大学,2004.ZHAO Mi.Study on the Viscous-spring Boundary andthe Transmitting Boundary[D].Beijing:Beijing Uni-versity of Technology,2004.
[5]雷文军,魏德敏.无限域地基有限元分析的简化粘弹性边界[J].地震工程与工程振动,2005,25(3):110-114.LEI Wen-jun,WEI De-min.Spring-viscous Boundaryin Finite Element Analyses for Infinite Media[J].Earthquake Engineering and Engineering Vibration,2005,25(3):110-114.
[6]高大峰.小雁塔塔体抗震、抗风性能及其地基极限承载力探讨[D].西安:西安交通大学,1995.GAO Da-feng.The Characteristics on Combat Earth-quake and Wind of the Small Wild Goose Pagoda sConstruction and the Study of the Foundation LimitStrength[D].Xi an:Xi an Jiaotong University,1995.
[7]王建平.贮仓-贮料-桩-地基空间相互作用系统动力特性及随机地震响应研究[D].西安:西安建筑科技大学,2006.WANG Jian-ping.Studies on Dynamic Characteristicsand Random Seismic Response of Silo-stock-pile-foundation Spatial Interaction System[D].Xi an:Xi anUniversity of Architecture and Technology,2006.
[8]熊建国.土-结构动力相互作用问题的新进展(Ⅰ)[J].世界地震工程,1992,8(3):22-29.XIONG Jian-guo.Advances in Co-interaction of Soiland Structures(Ⅰ)[J].World Earthquake Engineer-ing,1992,8(3):22-29.
[9]孟昭博,袁俊,吴敏哲,等.古建筑高台基对地震反应的影响[J].西安建筑科技大学学报:自然科学版,2008,40(6):835-840.MENG Zhao-bo,YUAN Jun,WU Min-zhe,et al.TheInfluence of High-station Base of Ancient Building onIts Seismic Responses[J].Journal of Xi an Universityof Architecture&Technology:Natural Science Edi-tion,2008,40(6):835-840.
[10]洪斌,杜少文.土基回弹模量分布特征的研究[J].筑路机械与施工机械化,2006,23(10):44-46.HONG Bin,DU Shao-wen.Distribution Characteristicof Resilience Modulus of Soil Base in Asphalt Pave-ment Design[J].Road Machinery&ConstructionMechanization,2006,23(10):44-46.
[11]詹永祥,蒋关鲁.桩板结构路基桩-土工作特性[J].交通运输工程学报,2009,9(4):38-42.ZHAN Yong-xiang,JIANG Guan-lu.Pile-soil Interac-tion Properties of Pile-plank Embankment[J].Journalof Traffic and Transportation Engineering,2009,9(4):38-42.
[12]石坚,武莹,贺建辉.上部结构、筏板基础和地基共同作用的有限元分析[J].建筑科学与工程学报,2006,23(2):72-75.SHI Jian,WU Ying,HE Jian-hui.FEA on Interactionof Super Structure,Raft Foundation and Ground Base[J].Journal of Architecture and Civil Engineering,2006,23(2):72-75.
[13]童立元,王斌,刘义怀.地震地基液化大变形对桥梁桩基危害性三维数值分析[J].交通运输工程学报,2007,7(3):91-94.TONG Li-yuan,WANG Bin,LIU Yi-huai.3-D Numer-ical Analysis of Large Subsoil Liquefaction DistortionInfluence Resulted from Earthquake on Bridge PileFoundation[J].Journal of Traffic and TransportationEngineering,2007,7(3):91-94.
[14]计宏,卢文晓.静压桩挤土扩孔的有限元数值模拟研究[J].西安科技大学学报,2009,29(6):722-725.JI Hong,LU Wen-xiao.FEM Numerical Simulation ofHole Expansion Caused by Driving Static Pressure[J].Journal of Xi an University of Science and Tech-nology,2009,29(6):722-725.
[15]南亚林,韩晓雷,卢坤林.黄土地区抗滑桩合理桩间距的确定方法[J].西安科技大学学报,2009,29(4):465-469.NAN Ya-lin,HAN Xiao-lei,LU Kun-lin.RationalSpacing Between Adjacent Anti-slide Piles in the Areaof Loess[J].Journal of Xi an University of Scienceand Technology,2009,29(4):465-469.
[16]曹平,朱宝龙,陈强.微型圆柱加固平面滑坡的桩间距分析[J].西安科技大学学报,2009,29(5):626-630.CAO Ping,ZHU Bao-long,CHEN Qiang.Analysis onthe Space of Circular Micro-piles in Plannar Failure[J].Journal of Xi an University of Science and Tech-nology,2009,29(5):626-630.
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