深水矩形空心桥墩在地震作用下附加动水压力分析
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摘要
基于辐射波浪理论建立了矩形空心桥墩流体控制方程,以自由表面波动条件、水底水质点运动边界条件、结构与水的速度连续条件为边界条件,采用分离变量法推导了矩形空心桥墩内、外域水体速度势一般解,进而导出了矩形空心墩内、外域水体的附加动水压力的解析式,对某桥墩自振特性的计算表明,该附加动水压力解析式具有较高的计算精度。
Based on the radiatire wave theory,a liquid control equation to hollow rectangular piers is deduced.With the condition of free surface wave,the movable boundary condition of a water particle of bottom water,and the continuity condition of structure and water speed being boandary conditions,then applying separation of variables,a general solution to liquid speed potential for inner and outer fields of hollow rectangular piers is gained.Further-more,an analytical solution to additional hydrodynamic pressure due to earthquake for inner and outer fields of hollow rectangular piers is developed.A typical example shows that this analytical solution to additional hydrodynamic pressure due to earthquake gains a relatively high calculating accuracy.
Based on the radiatire wave theory,a liquid control equation to hollow rectangular piers is deduced.With the condition of free surface wave,the movable boundary condition of a water particle of bottom water,and the continuity condition of structure and water speed being boandary conditions,then applying separation of variables,a general solution to liquid speed potential for inner and outer fields of hollow rectangular piers is gained.Further-more,an analytical solution to additional hydrodynamic pressure due to earthquake for inner and outer fields of hollow rectangular piers is developed.A typical example shows that this analytical solution to additional hydrodynamic pressure due to earthquake gains a relatively high calculating accuracy.
引文
[1]Werner P W,Sundqist K J.On Hydrodynamic EarthquakeEffects Transaction of the American Geophysical Union,1949,30(5):636—657.
[2]袁迎春,赖伟,王君杰,胡世德.Morison方程中动水阻力项对桥梁桩柱地震反应的影响[J].世界地震工程,2005,21(4):88—94.
[3]Westergaard H M.Water pressures on dams during earth-quakes[J].Transactions of the american society of Civil Engi-neers 98,1993,418—433.
[4]郑史雄.水桥墩考虑液固相互作用的地震反应分析[J].桥梁建设,1998,(2):52—54.
[5]赖伟,王君杰,胡世德.地震下桥墩动水压力分析[J].同济大学学报(自然科学版),2004,32(1):1—5.
[6]赖伟,王君杰,韦晓,胡世德.桥墩地震动水效应的水下振动台试验研究[J].地震工程与工程振动,2006,26(6):164—171.
[7]赵灿晖,周志祥.钢管混凝土拱桥的多维平稳随机地震响应[J].西南交通大学学报,2005,40(2):211—216.
[8]刘振宇.地震作用下深水桥梁的动力响应研究[D].成都:西南交通大学,2007.
[2]袁迎春,赖伟,王君杰,胡世德.Morison方程中动水阻力项对桥梁桩柱地震反应的影响[J].世界地震工程,2005,21(4):88—94.
[3]Westergaard H M.Water pressures on dams during earth-quakes[J].Transactions of the american society of Civil Engi-neers 98,1993,418—433.
[4]郑史雄.水桥墩考虑液固相互作用的地震反应分析[J].桥梁建设,1998,(2):52—54.
[5]赖伟,王君杰,胡世德.地震下桥墩动水压力分析[J].同济大学学报(自然科学版),2004,32(1):1—5.
[6]赖伟,王君杰,韦晓,胡世德.桥墩地震动水效应的水下振动台试验研究[J].地震工程与工程振动,2006,26(6):164—171.
[7]赵灿晖,周志祥.钢管混凝土拱桥的多维平稳随机地震响应[J].西南交通大学学报,2005,40(2):211—216.
[8]刘振宇.地震作用下深水桥梁的动力响应研究[D].成都:西南交通大学,2007.
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