饱和土中圆弧形埋置基础对平面SV波的动力响应
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摘要
基于Biot动力方程,利用Fourier-Bessel级数展开以及三角函数的正交性,首次给出了在倾斜入射平面SV波下饱和土中圆弧状埋置基础的动力响应。通过若干算例系统分析了入射角度、入射频率、基础埋深、基础刚度等参数对基础动力响应的影响。
Depending on Biot's dynamic equation and using Fourier-Bessel series expansion and orthogonality of trigonometric function,dynamic response of circular arc foundation embedded in saturated soil to obliquely incident plane SV wave is given firstly.Through several numeric examples,the dynamic response effects of incident angle,incident frequency,foundation depth,and foundation rigid and other parameters on the foundation are analyzed.
Depending on Biot's dynamic equation and using Fourier-Bessel series expansion and orthogonality of trigonometric function,dynamic response of circular arc foundation embedded in saturated soil to obliquely incident plane SV wave is given firstly.Through several numeric examples,the dynamic response effects of incident angle,incident frequency,foundation depth,and foundation rigid and other parameters on the foundation are analyzed.
引文
[1]T.Kobori,R.Minai and Y.Shinozaki.Vibration of a rigid circular disc on anelastic half-space subjected to plane waves[J].Theoret.appl.Mech,1973,21:109-119.
[2]T.Kobori,R.Minai and Y.Shinozaki.Vibration of a rigid circular disc on anelastic half-space subjected to plane waves(Part 2)[J].Theoret.appl.Mech,1976,24:153-167.
[3]J.E.Luco,A.Mita.Response of a circular foundation on a uniform half-spaceto elastic waves[J].Earthquake engineering and structural dynamics,1987,15:105-118.
[4]梁建文.圆弧形沉积河谷场地在平面P波入射下的响应[J].岩土力学,2001,22(2):138-143.
[5]李伟华.饱和土中浅圆弧状埋置基础对平面P波散射解答[J].华南地震,2008,28(1):11-20.
[6]BIOT,M A.Theory of propagation of elastic waves in a fluid-saturatedporous solid(I),Low frequency range[J].Journal of the AcousticalSociety of America,1956,28(2):168–178.
[7]BIOT,M A.Mechanics of deformation and acoustic propagation in porousmedia[J].Journal of applied physics,1962,33(4):1482-1498.
[8]吴世明.土介质中的波[M].北京:科学出版社,1997.
[9]Lin C-H,Lee VW,Trifunac Md.On the reflection of elastic waves in aporoelastic half-space saturated with inviscid fluid[J].Soil Dyn EarthquakeEng.,2005,25:205-230.
[10]Liang J W,Ba ZN and Lee VW.Diffraction of plane sv waves by a shallowcircular-arc canyon in a saturated poroelastic half-space[J].Soil dynearthquake Eng.,2006,26:582-610.
[2]T.Kobori,R.Minai and Y.Shinozaki.Vibration of a rigid circular disc on anelastic half-space subjected to plane waves(Part 2)[J].Theoret.appl.Mech,1976,24:153-167.
[3]J.E.Luco,A.Mita.Response of a circular foundation on a uniform half-spaceto elastic waves[J].Earthquake engineering and structural dynamics,1987,15:105-118.
[4]梁建文.圆弧形沉积河谷场地在平面P波入射下的响应[J].岩土力学,2001,22(2):138-143.
[5]李伟华.饱和土中浅圆弧状埋置基础对平面P波散射解答[J].华南地震,2008,28(1):11-20.
[6]BIOT,M A.Theory of propagation of elastic waves in a fluid-saturatedporous solid(I),Low frequency range[J].Journal of the AcousticalSociety of America,1956,28(2):168–178.
[7]BIOT,M A.Mechanics of deformation and acoustic propagation in porousmedia[J].Journal of applied physics,1962,33(4):1482-1498.
[8]吴世明.土介质中的波[M].北京:科学出版社,1997.
[9]Lin C-H,Lee VW,Trifunac Md.On the reflection of elastic waves in aporoelastic half-space saturated with inviscid fluid[J].Soil Dyn EarthquakeEng.,2005,25:205-230.
[10]Liang J W,Ba ZN and Lee VW.Diffraction of plane sv waves by a shallowcircular-arc canyon in a saturated poroelastic half-space[J].Soil dynearthquake Eng.,2006,26:582-610.
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