流固耦合系统位移-压力有限元格式在渡槽动力分析中的应用
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摘要
考虑FSI的边界条件,采用变分原理建立了流固耦合(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。建立了矩型和U形渡槽的动力学分析的FSI模型,以非对称特征值求解法求解了大型渡槽的动力特性,并用隐式-显式积分算法计算了强震作用下大型渡槽的动力响应,计算结果表明,基于(ui,p)格式的流固耦合系统有限元分析格式,考虑了槽体与水体的相互作用,简化了计算模型,提高了计算效率和精度,同时也得出不同过水量下两种渡槽结构动力特性和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。
Taking into consideration of the boundary conditions in fluid-solid interactions(FSI),a displacement-pressure finite element formulation and the dynamic state equation of the FSI system are set up through the variation principle.Analyses are conducted,considering four depths of water in aqueduct,for large U-shape and rectangular aqueducts.The dynamic properties of the aqueduct were obtained by applying an asymmetric algorithm.The dynamic responses of large aqueducts under dynamic loads were calculated by adopting the implicit-explicit integration algorithm.The calculated results indicated that the displacement-pressure based FEA formulation of FSI system with interaction between aqueduct and water has simplified the calculation model and improved the calculation accuracy.The variation law was formulated for the dynamic stress and displacement of the aqueduct structure under different quantities of discharge.
Taking into consideration of the boundary conditions in fluid-solid interactions(FSI),a displacement-pressure finite element formulation and the dynamic state equation of the FSI system are set up through the variation principle.Analyses are conducted,considering four depths of water in aqueduct,for large U-shape and rectangular aqueducts.The dynamic properties of the aqueduct were obtained by applying an asymmetric algorithm.The dynamic responses of large aqueducts under dynamic loads were calculated by adopting the implicit-explicit integration algorithm.The calculated results indicated that the displacement-pressure based FEA formulation of FSI system with interaction between aqueduct and water has simplified the calculation model and improved the calculation accuracy.The variation law was formulated for the dynamic stress and displacement of the aqueduct structure under different quantities of discharge.
引文
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[2]Housner G W.Dynamic pressure on accelerated fluidcontainers[J].Bulletin of the Seismological Society ofAmerica,1957,47(1):15-35
[3]Housner G W.The dynamic behavior of water tanks[J].Bulletin of the Seismological Society of America,1963,53(2):381-387
[4]李遇春,楼梦麟,尚伟,等.大形渡槽抗震分析中流体的位移有限元模式[J].水利学报,2003,(2):93-97(LiYuchun,Lou Menglin,Shang wei,et al.Displacement-based fluid finite element for seismic-resistant analysis oflarge-scale aqueduct[J].Journal of HydraulicEngineering,2003,(2):93-97(in Chinses))
[5]Gadala M S,Wang J.A practice procedure for meshmotion in arbitrary lagrangian-eulerian method[J].Engineering with Computers,1998,14(3):223-234
[6]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(Wu Yi,Mo HaiHong,Yang chun.Seismic response of frame-supported large rectangular aqueduct-water 3-D couplingsystem[J].Journal of Hydraulic Engineering,2005,36(3):280-285(in Chinses))
[7]王勖成.有限单元法[M].北京:清华大学出版社,2003(Wang Xucheng,Finite Element Method[M].BeiJing:Tsinghua University Press,2003(in chinses))
[8]徐刚,任文敏,张维,等.储液容器的三维流固耦合动力特性分析[J].力学学报,2004,36(3):328-335(XuGang,Ren Wenmei,Zhang Wei,et al.Dynamiccharacteristic analysis of liquid-filled tanks as a 3-D fluid-structure coupling system[J].Acta Mechanica Sinica,2004,36(3):328-335(in Chinses))
[9]白新理,刘东常,张多新,等.南水北调工程建设重大关建技术研究与应用,大渡渡槽施工期和运营期、动态跟踪、温度荷载及动力分析[R],郑州,2007(Bai Xinli,Liu Dongchang,Zhang Duoxin,et al.The research andapplication of the key technology existing in theconstruction of the Southto North water diversion project:The research report of simulative analysis on constructionand operation,temperature load and dynamic analysis oflarge aqueduct[R].Zhengzhou,China.(in Chinses))
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