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Equivalent Kelvin Impact Model for Seismic Pounding Analysis of Bridges
作者姓名:DING Yang  YUE Fuqing  LI Zhongxian
作者单位:School of Civil Engineering,Tianjin University,Tianjin 300072,China
基金项目:Supported by National Natural Science Foundation of China (No. 50578109) Tianjin Municipal Natural Science Foundation of China(No. 05YFGMGC10900)
摘    要:Based on Hertz contact theory, a method to determine the parameters of Kelvin impact model for seismic pounding analysis of bridges is proposed. The impact stiffness of Kelvin model is determined by the ratio of maximum impact force to maximum contact deformation, which is calculated based on Hertz contact theory with considering the vibration effect. The restitution coefficient which has great influence on the damping coefficient of Kelvin impact model is investigated by numerical analysis. Numerical results indicate that the impact stiffness of Kelvin impact model increases with the increment of the Hertz contact stiffness, approaching velocity or the length ratio of short to long girders. Vibration effect has remarkable influence on the impact stiffness and cannot be neglected. The restitution coefficient decreases when approaching velocity increases or the length ratio of short girder to long girder decreasing. The practical ranges of impact stiffness and restitution coefficient are obtained as 3×108-6×108 N/m and 0.6-0.95 respectively.


Equivalent Kelvin Impact Model for Seismic Pounding Analysis of Bridges
DING Yang,YUE Fuqing,LI Zhongxian.Equivalent Kelvin Impact Model for Seismic Pounding Analysis of Bridges[J].Transactions of Tianjin University,2006,12(Z1).
Authors:DING Yang  YUE Fuqing  LI Zhongxian
Abstract:Based on Hertz contact theory,a method to determine the parameters of Kelvin impact model for seismic pounding analysis of bridges is proposed.The impact stiffness of Kelvin model is determined by the ratio of maximum impact force to maximum contact deformation,which is calculated based on Hertz contact theory with considering the vibration effect.The restitution coefficient which has great influence on the damping coefficient of Kelvin impact model is investigated by numerical analysis.Numerical results indicate that the impact stiffness of Kelvin impact model increases with the increment of the Hertz contact stiffness,approaching velocity or the length ratio of short to long girders.Vibration effect has remarkable influence on the impact stiffness and cannot be neglected.The restitution coefficient decreases when approaching velocity increases or the length ratio of short girder to long girder decreasing.The practical ranges of impact stiffness and restitution coefficient are obtained as 3 × 108-6 × 108 N/m and 0.6-0.95 respectively.
Keywords:bridge  seismic pounding  impact model  contact stiffness  restitution coefficient
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