大型矩形水工渡槽动力分析
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摘要
针对大型矩形渡槽的动力特性和动力响应问题,建立了流固耦合(FSI)系统的位移-压力(ui,p)有限元格式,给出流固耦合系统的动力特性方程;基于FSI系统的(ui,p)格式建立槽体-水体-槽墩-基础-地基系统的力学模型,采用非对称模态提取法求解了4种水深下渡槽的动力特性,并用隐式-显式积分算法计算了4种水深、2种强震作用下大型渡槽的动力响应。计算结果表明,基于FSI的(ui,p)格式,考虑到槽体与水体的相互作用,简化了计算模型,提高了计算精度,同时也得出不同水深、不同激励下渡槽结构动力特性和动力响应的变化规律等结论,可为大型渡槽及同类工程动力设计提供参考。
In this paper,aimed at dynamic nature properties and dynamic response of large rectangular section hydraulic aqueduct,established the FEA formulation of fluid solid interaction(FSI) system based on the formulation of displacement and pressure degree of freedom(ui,p),setting up the dynamic nature properties equation of FSI system,founded the dynamic analysis model of the large aqueduct which including aqueduct body-water-pier of aqueduct-foundation-ground system based the formation(ui,p) of FSI system.Thinking over four depth of water in aqueduct,the dynamic nature properties of the aqueduct was obtained by using unsymmetic algorithm,and the dynamic response of the large aqueduct under the two action of dynamic loads was also calculated by adopting the implict-explict integration algorithm.The calculated results indicated that the FEA formulation of FSI system based on the formulation(ui,p),which considered the interaction between aqueduct body and water in aqueduct,simplified the calculated model and improved the calculation accuracy.And the conclusion of the variation law of the dynamic stress and dynamic displacement of the aqueduct structure under different quantities of discharge is also drawn.These conclusions may provide theoretical reference to the dynamic design work in the similar engineering.
In this paper,aimed at dynamic nature properties and dynamic response of large rectangular section hydraulic aqueduct,established the FEA formulation of fluid solid interaction(FSI) system based on the formulation of displacement and pressure degree of freedom(ui,p),setting up the dynamic nature properties equation of FSI system,founded the dynamic analysis model of the large aqueduct which including aqueduct body-water-pier of aqueduct-foundation-ground system based the formation(ui,p) of FSI system.Thinking over four depth of water in aqueduct,the dynamic nature properties of the aqueduct was obtained by using unsymmetic algorithm,and the dynamic response of the large aqueduct under the two action of dynamic loads was also calculated by adopting the implict-explict integration algorithm.The calculated results indicated that the FEA formulation of FSI system based on the formulation(ui,p),which considered the interaction between aqueduct body and water in aqueduct,simplified the calculated model and improved the calculation accuracy.And the conclusion of the variation law of the dynamic stress and dynamic displacement of the aqueduct structure under different quantities of discharge is also drawn.These conclusions may provide theoretical reference to the dynamic design work in the similar engineering.
引文
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[2]徐建国,陈淮,王博,等.考滤流固动力相互作用的大型渡槽地震响应研究[J].土木工程学报,2005,38(5):67-73.
[3]李涛峰,白新理,张多新.大型渡槽结构动力响应分析[J].南水北调与水利科技,2007,5(4):79-82.
[4]吴轶,莫海鸿,杨春.排架-渡槽-水三维耦合体系地震响应分析[J].水利学报,2005,36(3):280-285.
[5]李遇春,楼梦麟,尚伟,等.大型渡槽抗震分析中的流体位移有限元模式[J].水利学报,2003,34(2):93-97.
[6]王勖成.有限单元法[M].北京:清华大学出版社,2003:522-544.
[7]威尔金森J H.代数特征值问题[M].石钟慈,邓健新译.北京:科学出版社,2001.