一种新的求解坝面动水压力的半解析方法
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摘要
基于比例边界有限元理论,推导了综合考虑库水可压缩性和库底边界吸收的坝面动水压力方程,提出了一种新的求解坝面动水压力的半解析方法,并通过算例验证了这种方法的精度和效率。结果表明,与传统方法相比,这种方法具有精度高、计算工作量小的优点。
Based on the Scaled Boundary Finite Element Method(SBFEM),an equation for calculating hydrodynamic pressure on dams was derived,it could consider effects of compressibility of water and reservoir bottom absorption.A new semi-analytical method for calculating hydrodynamic pressure was proposed.Numerical examples of a two-dimensional gravity dam were provided.It was shown that this approach is superior to conventional methods in computational efforts and accuracy.
Based on the Scaled Boundary Finite Element Method(SBFEM),an equation for calculating hydrodynamic pressure on dams was derived,it could consider effects of compressibility of water and reservoir bottom absorption.A new semi-analytical method for calculating hydrodynamic pressure was proposed.Numerical examples of a two-dimensional gravity dam were provided.It was shown that this approach is superior to conventional methods in computational efforts and accuracy.
引文
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[8]Deeks A J,Cheng L.Potential flow around obstacles usingthe scaled boundary finite-element method[J].InternationalJournal for Numerical Methods in Fluids,2003,41(7):721-741.
[9]Li B,Cheng L,Deeks AJ,et al.Amodified scaled bounda-ry finite-element method for problems with parallel side-faces.Part I.Theoretical developments[J].Applied OceanResearch,2006,27:216-223.
[10]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.
[11]Wolf J P,Song Ch.Finite-Element Modelling of UnboundedMedia[M].New York:Wiley,1996.
[12]Wolf J P,Song Ch.The scaled boundary finite-element meth-od—a primer:derivations[J].Computers and Structures,2000,78:191-210.
[13]陈怀海,林皋.坝面动水压力影响系数的一种简化求法[J].计算力学学报,2000,17(2):238-241.
[14]Zienkiewicz O C,Taylor R L.The Finite Element Method,4thedition Vol.1 Basic Formulation and Linear Problems[M].London:McGraw-Hill,1989.
[15]傅作新,陆瑞明.水库的库底条件和挡水结构的动水压力[J].水利学报,1987,18(5):28-35.
[2]杜修力,王进廷.动水压力及其对坝体地震反应影响的研究进展[J].水利学报,2001,32(7):13-21.
[3]Ghaemian M,Ghobarah A.Staggered solution schemes fordam-reservoir interaction[J].Journal of Fluids and Struc-tures,1998,12(7):933-948.
[4]Kucukarslan S,Coskun S B,Taskm B.Transient analysis ofdam-reservoir interaction including the reservoir bottomeffects[J].Journal of Fluids and Structures,2005,20(8):1073-1084.
[5]Medina F,Dominguez J.Boundary elements for the analysisof the seismic response of dams including dam-water-founda-tion interaction effects[J].Engineering Analysis withBoundary Element,1989,6(3):152-157.
[6]Jablonski A M,Humar J L.Three-dimensional boundary ele-ment reservoir model seismic analysis of arch and gravitydams[J].Earthquake Engineering&Structure Dynamics,1990,19:359-376.
[7]Song Ch,Wolf J P.The scaled boundary finite-element meth-od—alias consistent infinitesimal finite-element cell meth-od—for elastodynamics[J].Computer Methods in AppliedMechanics and Engineering,1997,147(3-4):329-355.
[8]Deeks A J,Cheng L.Potential flow around obstacles usingthe scaled boundary finite-element method[J].InternationalJournal for Numerical Methods in Fluids,2003,41(7):721-741.
[9]Li B,Cheng L,Deeks AJ,et al.Amodified scaled bounda-ry finite-element method for problems with parallel side-faces.Part I.Theoretical developments[J].Applied OceanResearch,2006,27:216-223.
[10]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.
[11]Wolf J P,Song Ch.Finite-Element Modelling of UnboundedMedia[M].New York:Wiley,1996.
[12]Wolf J P,Song Ch.The scaled boundary finite-element meth-od—a primer:derivations[J].Computers and Structures,2000,78:191-210.
[13]陈怀海,林皋.坝面动水压力影响系数的一种简化求法[J].计算力学学报,2000,17(2):238-241.
[14]Zienkiewicz O C,Taylor R L.The Finite Element Method,4thedition Vol.1 Basic Formulation and Linear Problems[M].London:McGraw-Hill,1989.
[15]傅作新,陆瑞明.水库的库底条件和挡水结构的动水压力[J].水利学报,1987,18(5):28-35.
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