基于锥体理论的三维拱坝无限地基SBFEM模型
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摘要
基于锥体动力学理论,提出一种合理的三维拱坝无限地基SBFEM模型,利用具有马鞍面为表面的半无限空间代替拱坝无限地基。经算例验证,该模型精度可靠,能够方便高效地解决拱坝—无限地基的相互作用问题,从而拓展了SBFEM的应用范围。
The Scaled Boundary Finite Element Method(SBFEM) was mainly applied to structure-unbounded foundation interaction problems.It is dominant in solving the three-dimensional large-scale problem because of the advantage that only the boundary of the domain should be discretized.But,this method can't simulate the foundation with complicated geometrical shape(for example the three-dimensional unbounded foundation of arch dam) expediently owing to the inherent similarity,therefore,its engineering application is restricted. In this paper,based on the dynamic cone theory developed by Meek and Wolf,a reasonable three-dimensional SBFEM model for unbounded foundation of arch dams is proposed.The unbounded foundation of arch dam is substituted by a half unbounded space with saddle surface.Numerical examples show that this model is simple,effective and appropriate for large-scale practical engineering purpose as arch dam unbounded interaction problem.The applied field of SBFEM is extended accordingly.
The Scaled Boundary Finite Element Method(SBFEM) was mainly applied to structure-unbounded foundation interaction problems.It is dominant in solving the three-dimensional large-scale problem because of the advantage that only the boundary of the domain should be discretized.But,this method can't simulate the foundation with complicated geometrical shape(for example the three-dimensional unbounded foundation of arch dam) expediently owing to the inherent similarity,therefore,its engineering application is restricted. In this paper,based on the dynamic cone theory developed by Meek and Wolf,a reasonable three-dimensional SBFEM model for unbounded foundation of arch dams is proposed.The unbounded foundation of arch dam is substituted by a half unbounded space with saddle surface.Numerical examples show that this model is simple,effective and appropriate for large-scale practical engineering purpose as arch dam unbounded interaction problem.The applied field of SBFEM is extended accordingly.
引文
[1]金峰,张楚汉,王光纶.结构地基相互作用的FE-BE-IBE耦合模型[J].清华大学学报,1993,33(2):17-24
[2]杜修力,陈厚群,侯顺载.拱坝系统三维非线性地震波动分析[J].地震工程与工程振动,1996,16(3):39-47
[3]Wolf J P,Song Chongmin.Finite-element Modellingof Unbounded Media[M].Wiley,New York,1997.
[4]Meek J W,Wolf J P.Cone Models for Homogene-ous Soil[J].Journal of Geotechnical Engineering,ASCE,1992,118:667-685
[5]Meek J W,Wolf J P.Cone Models for a Soil onRigid Rock[J].Journal of Geotechnical Engineer-ing,ASCE,1992,118:686-703
[6]Meek J W,Wolf J P.Cone Models for a Pile Foun-dation[J].Piles Under Dynamic Load,Geotechni-cal Special Publication,ASCE,1992,34:94-113
[7]Meek J W,Wolf J P.Cone Models for an Embed-ded Foundation[J].Journal of Geotechnical Engi-neering,ASCE,1994,120(1):60-80
[8]Ehlers G.The Effect of Soil Flexibility on VibratingSystems[J](in German).Beton Eisen,1942,41(21/22):197-203
[9]Meek J W,Veletsos A S.Simple Models for Foun-dations in Lateral and Rocking Motion[A].In:Proceeding of 5th Word Conference on EarthquakeEngineering[C].Rome:[s.n.],1974.2 610-2 613
[10]Meek J W,Wolf J P.Why Cone Models Can Re-present the Elastic Half-Space[J].EarthquakeEngineering&Structural Dynamics,1993,22:759-771
[11]Zhang X,Wegner J L,Haddow J B.Three-dimen-sional Dynamic Soil-Structure Interaction Analysisin the Time Domain[J].Earthquake Engineering&Stuctutal Dynamics,1999,28:1 501-1 524
[12]Kobayashi S,Nishimura N.Green’s Tensors forElastic Half-space—An application of BoundaryIntegral Equation Method[J].Memoirs of the Fac-ulty of Engineering,Kyoto University,1980,42:228-241
[13]李建波,陈健云,林皋.求解非均匀无限地基相互作用力的有限元时域阻尼抽取法[J].岩土工程学报,2004,26(2):263-267
[14]林皋,杜建国.基于SBFEM的坝?库水相互作用分析[J],大连理工大学学报,2005,45(5):723-729
[2]杜修力,陈厚群,侯顺载.拱坝系统三维非线性地震波动分析[J].地震工程与工程振动,1996,16(3):39-47
[3]Wolf J P,Song Chongmin.Finite-element Modellingof Unbounded Media[M].Wiley,New York,1997.
[4]Meek J W,Wolf J P.Cone Models for Homogene-ous Soil[J].Journal of Geotechnical Engineering,ASCE,1992,118:667-685
[5]Meek J W,Wolf J P.Cone Models for a Soil onRigid Rock[J].Journal of Geotechnical Engineer-ing,ASCE,1992,118:686-703
[6]Meek J W,Wolf J P.Cone Models for a Pile Foun-dation[J].Piles Under Dynamic Load,Geotechni-cal Special Publication,ASCE,1992,34:94-113
[7]Meek J W,Wolf J P.Cone Models for an Embed-ded Foundation[J].Journal of Geotechnical Engi-neering,ASCE,1994,120(1):60-80
[8]Ehlers G.The Effect of Soil Flexibility on VibratingSystems[J](in German).Beton Eisen,1942,41(21/22):197-203
[9]Meek J W,Veletsos A S.Simple Models for Foun-dations in Lateral and Rocking Motion[A].In:Proceeding of 5th Word Conference on EarthquakeEngineering[C].Rome:[s.n.],1974.2 610-2 613
[10]Meek J W,Wolf J P.Why Cone Models Can Re-present the Elastic Half-Space[J].EarthquakeEngineering&Structural Dynamics,1993,22:759-771
[11]Zhang X,Wegner J L,Haddow J B.Three-dimen-sional Dynamic Soil-Structure Interaction Analysisin the Time Domain[J].Earthquake Engineering&Stuctutal Dynamics,1999,28:1 501-1 524
[12]Kobayashi S,Nishimura N.Green’s Tensors forElastic Half-space—An application of BoundaryIntegral Equation Method[J].Memoirs of the Fac-ulty of Engineering,Kyoto University,1980,42:228-241
[13]李建波,陈健云,林皋.求解非均匀无限地基相互作用力的有限元时域阻尼抽取法[J].岩土工程学报,2004,26(2):263-267
[14]林皋,杜建国.基于SBFEM的坝?库水相互作用分析[J],大连理工大学学报,2005,45(5):723-729
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