立交桥曲线箱梁动力分析模型
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摘要
提出了1种双脊骨空间有限元模型,用来模拟和分析立交桥曲线箱梁的固有振动特性和动力反应。将曲线箱梁分别看作是由空间梁或壳组成的空间结构,并分别采用分段空间直梁模型、壳元模型和实体元模型进行模拟,分析相同曲线箱梁的振动特性和地震时程反应,通过与双脊骨模型的计算结果的比较验证双脊骨模型的可靠性。初步研究了在相同曲率半径下不同跨度的曲线箱梁的固有振动特性,分析了双脊骨模型的脊骨间距、横向连接间距等参数对模型计算结果的影响。研究结果可为曲线梁桥抗震性能和地震反应分析提供参考。
In this paper,a dual-beam stick finite element model is presented to analyze the dynamic characteristics and seismic responses of a curved girder with a box section in the highway interchanges.The curved box girder is regarded as a space structure consisting of beams and shells respectively,and modeled by discrete 3-D straight beams,shell elements and solid elements.The vibration properties and earthquake time history responses of the curved box girder are analyzed and computed on the basis of these models, and the results are compared with that of the dual-beam stick model to validate the reliability of this model.The natural dynamic characteristics of the curved box girders with the same radius of circle and different curved length are studied,and the influences of the distance between two sticks and the distance between two diaphragms are also researched.This study is helpful for evaluations of dynamic characteristics and seismic capacity of the curved girder bridges.
In this paper,a dual-beam stick finite element model is presented to analyze the dynamic characteristics and seismic responses of a curved girder with a box section in the highway interchanges.The curved box girder is regarded as a space structure consisting of beams and shells respectively,and modeled by discrete 3-D straight beams,shell elements and solid elements.The vibration properties and earthquake time history responses of the curved box girder are analyzed and computed on the basis of these models, and the results are compared with that of the dual-beam stick model to validate the reliability of this model.The natural dynamic characteristics of the curved box girders with the same radius of circle and different curved length are studied,and the influences of the distance between two sticks and the distance between two diaphragms are also researched.This study is helpful for evaluations of dynamic characteristics and seismic capacity of the curved girder bridges.
引文
[1]M eng J Y.Seism ic analysis and evaluation of skew h ighway bridges[D].Syracuse Un iversity,2000.
[2]Cu lver C G.Natural frequencies of horizontally curved beam s[J].J.Structural D iv.,ASCE,1967,93:189~203.
[3]Chaudhuri S K,Shore S.Dynam ics analysis of horizontally curved I-girder bridges[J].J.Structural D iv.,ASCE,1977,103:1589~1604.
[4]Chaudhuri S K,Shore S.Th in-walled curved beam fin ite elem ent[J].J.Structural D iv.,ASCE,1977,103:921~937.
[5]李国豪,石洞,Heins C P.曲梁桥地震分析的有限单元法[J].同济大学学报,1984,23(1):1~21.
[6]Chang P C,Heins C P,L i G H,et al.Seism ic study of curved bridges using the Rayleigh-R itz m ethod[J].Computers and Structures,1985,21(6):1095~1104.
[7]Sab ir A B,D joud iM S,Sfend jiA.Strain-based fin ite elem ent for the out-of-plane vibration of curved beam s[J].Structural Engineering Review,1995,7(1):9~13.
[8]W u J S,Ch iang L K.Out-of-plane responses of a circu lar curved Timoshenko beam due to a moving load[J].International Journal of Solids andStructures,2003,40:7425~7448.
[9]朱东生,刘世忠,虞庐松.曲线桥地震反应研究[J].中国公路学报,2002,15(3):42~48.
[10]柳春光,焦双健.城市立交桥结构三维地震反应[J].地震工程与工程振动,2001,21(2):41~47.
[11]柳春光,王前信.已建立交桥结构地震反应上限研究[J].地震工程与工程振动,2001,21(3):55~59.
[12]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
[13]邵容光,夏淦.混凝土弯梁桥[M].北京:人民交通出版社,1994.
[2]Cu lver C G.Natural frequencies of horizontally curved beam s[J].J.Structural D iv.,ASCE,1967,93:189~203.
[3]Chaudhuri S K,Shore S.Dynam ics analysis of horizontally curved I-girder bridges[J].J.Structural D iv.,ASCE,1977,103:1589~1604.
[4]Chaudhuri S K,Shore S.Th in-walled curved beam fin ite elem ent[J].J.Structural D iv.,ASCE,1977,103:921~937.
[5]李国豪,石洞,Heins C P.曲梁桥地震分析的有限单元法[J].同济大学学报,1984,23(1):1~21.
[6]Chang P C,Heins C P,L i G H,et al.Seism ic study of curved bridges using the Rayleigh-R itz m ethod[J].Computers and Structures,1985,21(6):1095~1104.
[7]Sab ir A B,D joud iM S,Sfend jiA.Strain-based fin ite elem ent for the out-of-plane vibration of curved beam s[J].Structural Engineering Review,1995,7(1):9~13.
[8]W u J S,Ch iang L K.Out-of-plane responses of a circu lar curved Timoshenko beam due to a moving load[J].International Journal of Solids andStructures,2003,40:7425~7448.
[9]朱东生,刘世忠,虞庐松.曲线桥地震反应研究[J].中国公路学报,2002,15(3):42~48.
[10]柳春光,焦双健.城市立交桥结构三维地震反应[J].地震工程与工程振动,2001,21(2):41~47.
[11]柳春光,王前信.已建立交桥结构地震反应上限研究[J].地震工程与工程振动,2001,21(3):55~59.
[12]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,1992.
[13]邵容光,夏淦.混凝土弯梁桥[M].北京:人民交通出版社,1994.
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