水平地震激发的具有非线性阻尼的动水压力对斜面水坝的作用(英文)
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摘要
采用非线性Rayeigh阻尼于问题的控制方程中。首先用小参数摄动法 ,把非线性偏微分方程的控制方法线性化 ,得出小参数的各阶渐近控制方程 ,得出头两阶渐近控制方程的解析解。再直接求解非线性控制方程 ,也得出头两次的渐近解。不但讨论了直形面重力水坝问题 ,还讨论了圆弧形拱坝问题。
In this study, the nonlinear Rayleigh damping is adopted in the governing equation First ,we consider the seismic hydrodynamic pressure on inclined gravity dams and solve the problem by linearized the governing equation with small parameter expansion method, then solve the nonlinear PDE without linearization Finally, the arch dam-reservoir problem is considered
In this study, the nonlinear Rayleigh damping is adopted in the governing equation First ,we consider the seismic hydrodynamic pressure on inclined gravity dams and solve the problem by linearized the governing equation with small parameter expansion method, then solve the nonlinear PDE without linearization Finally, the arch dam-reservoir problem is considered
引文
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〔7〕C N Zangar et al ,ElectricAnalogyIndicatesEffectOfHorizontalEarthquakeShockOnDams,CivilEng ,April ( 195 2 ) ,5 4～ 5 5
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〔9〕E T Copson ,PartialDifferentialEquations ,CambridgeUniversityPress ,London ( 1975 )
〔2〕FanJiashen ,etal ,SomeMathematicalModellingProblemsOfSeismicResponseOfSeismicResponseOfStructures ,Appl Math Modelling ,No 9,Vol 14 ,9,( 1990 ) ,475～ 481
〔3〕A H Nayfeh ,PerturbtionMethods (ChineseTranslationFromEnglish) ,ShanghaiScience&TechniqueFress,Shanghai ,( 1984) ,2 5 3～ 2 5 5( 6 2 3 )
〔4〕N N Bogoliubov ,etal ,AsymptoticMethodsInTheoryOfNonlinearVibration (ChineseTranslationFromRussian) ,ibidem ,( 1963 ) ,2 13～ 2 15( 13 ,Chapter 3 )
〔5〕Chong -ShienTsai,etal ,ArchDam -FluidInteractions :ByFem -BemAndSubstructureConcept,Int lJ ForNumericalMethodsInEng ,Vol 2 4,( 1987) ,2 3 67～ 2 3 88
〔6〕Chong -ShienTsai,etal ,HydrodynamicPressureOnGravityDamsSubjectedToGrundMotion ,J Eng Mech Div ,Asce ,No 3 ,Vol 115 ,( 1989) ,5 98～ 617
〔7〕C N Zangar et al ,ElectricAnalogyIndicatesEffectOfHorizontalEarthquakeShockOnDams,CivilEng ,April ( 195 2 ) ,5 4～ 5 5
〔8〕A T Chwang ,HydrodynamicPressureonDamsDuringEarthquakes,J FluidMech ,Part2 ,Vol 87,( 1978) ,3 4 3～ 3 4 8
〔9〕E T Copson ,PartialDifferentialEquations ,CambridgeUniversityPress ,London ( 1975 )
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