针对近海环境中钢管桩在Rayleigh波作用下的竖向动力特性进行了研究。基于Biot理论和理想流体控制方程,结合上覆流体与海床面的位移,应力以及动水压力连续性条件,求得了流体-饱和介质在Rayleigh波作用下的自由场波动解;接着考虑大直径管桩的横向惯性效应,借助管桩内外侧土体竖向动力阻抗,建立了Rayleigh波作用下饱和海床土中管桩竖向动力响应的频域解答。结果表明:海床及管桩竖向位移随着流体层厚度的增加逐渐降低,当流体层厚度超过10 m时,则基本保持不变;桩径的增大将使不同桩顶质量下的管桩竖向位移逐渐减小,并最终趋于同一数值;桩侧摩阻力在海床面以下2.5倍波长范围内随土体剪切模量的增大而减小,当深度进一步增大时,则基本一致。
Abstract
The vertical dynamic responses of steel pipe piles under the action of Rayleigh wave in offshore environment were studied.Based on the Biot theory and ideal fluid control equation, in consideration of the displacement, stress and hydrodynamic pressure continuity conditions of overlying fluid and seabed surface, the free field wave solution of fluid-saturated medium under the action of Rayleigh wave was obtained.Considering the lateral inertia effect of large-diameter pipe piles, the frequency domain solution of vertical dynamic responses of pipe piles in bed soil under the action of Rayleigh wave was presented with the help of the vertical dynamic impedance of soil inside and outside the pipe piles.The results show that the vertical displacement of the seabed and the piles decreases with the increase of thickness of the fluid layer.When the thickness of the fluid layer exceeds 10 m, the vertical displacement of the piles remains unchanged.The increase of the pile diameter will gradually reduce the vertical displacement of the piles with different pile top mass, and it will eventually tend to the same value.The side friction of the pile decreases with the increase of the shear modulus of the soil under the seabed surface within a depth of 2.5 times wavelength.When the depth is further increased, it is basically the same.
关键词
Rayleigh波 /
管桩 /
流体-饱和土层 /
竖向振动
{{custom_keyword}} /
Key words
Rayleigh wave /
pipe pile /
fluid-saturated soil layer /
vertical vibration
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1]TAN H H.Transmit ting boundary for semi-infinite reservoir[J].Journal of the Engineering Mechanics Division, ASCE, 1990, 116(7): 1660-1665.
[2]SHARMA M D, KUMAR R, GOGNA M L.Surface wave propagation in a liquid-saturated porous layer overlying a homogeneous transversely isotropic half-space and lying under a uniform layer of liquid[J].International Journal of Solids and Structures, 1991, 27(10): 1255-1267.
[3]KUMAR R, MIGLANI A, GARG N R.Surface wave propagation in a double liquid layer over a liquid-saturated porous half-space[J].Sadhana, 2002, 27(6): 643-655.
[4]KUMARR, MIGLANI A.Surface wave propagation in an oceanic crust model[J].Acta Geophysica Polonica, 2004, 52(4): 443-456.
[5]ALBERS B.Monochromatic surface waves at the interface between poroelastic and fluid halfspaces[J].Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2006, 462(2067):701-723.
[6]PAL P C, KUMAR S, MANDAL D.Surface wave propagation in sandy layer overlying a liquid saturated porous half-space and lying under a uniform liquid layer[J].Mechanics of Advanced Materials and Structures, 2016, 23(1): 59-65.
[7]PAUL P, KUNDU S, MANDAL D.Effect of surface wave propagation in a four-layered oceanic crust model[J].Acta Geophysica, 2017, 65(6):1-13.
[8]夏唐代, 陈汉良, 吴世明.流体-固体成层介质中Rayleigh波特性的进一步讨论[J].振动工程学报, 1999, 12(3): 348-353.
XIA Tangdai, CHEN Hanliang, WU Shiming.The research on Rayleigh wave characteristics in fluid-solid layered media [J].Journal of Vibration Engineering,1999,12(3):348-353.
[9]仇浩淼, 夏唐代, 何绍衡,等.流体/准饱和多孔介质中伪Scholte波的传播特性[J].物理学报, 2018,67(20):2043021.
QIU Haomiao, XIA Tangdai, HE Shaoheng, et al.Propagation characteristics of pseudo-Scholte waves in fluid/quasi-saturated porous media [J].Acta Physica Sinica, 2018, 67(20): 2043021.
[10]MAKRIS N.Soil-pile interaction during the passage of Rayleigh waves: an analytical solution[J].Earthquake Engineering & Structural Dynamics,1994,23(2):153-167.
[11]KAYNIA A M, MAHZOONI S.Forces in pile foundations under seismic loading[J].Journal of Engineering Mechanics, 1996, 122(1): 46-53.
[12]LU J F, ZHANG X, WAN J W, et al.The influence of a fixed axial top load on the dynamic response of a single pile[J].Computers and Geotechnics, 2012, 39:54-65.
[13]王海东, 尚守平.Rayleigh波作用下考虑桩土相互作用的单桩竖向动力响应计算研究[J].工程力学, 2006, 23(8):74-78.
WANG Haidong, SHANG Shouping.The calculation and research on vertical dynamic response of single pile considering pile-soil interaction under Rayleigh wave [J].Engineering Mechanics, 2006, 23(8):74-78.
[14]王海东, 尚守平.瑞利波作用下径向非匀质地基中的单桩竖向响应研究[J].振动工程学报, 2006, 19(2): 258-264.
WANG Haidong, SHANG Shouping.The research on vertical response of single pile in radial inhomogeneous foundation under Rayleigh wave [J].Journal of Vibration Engineering, 2006, 19(2): 258-264.
[15]柯瀚, 王立忠.双层地基中瑞利波引起的桩土竖向共同作用[J].振动工程学报, 2000, 13(2): 319-324.
KE Han, WANG Lizhong.Pile-soil vertical interaction caused by Rayleigh wave in double-layer foundation [J].Journal of Vibration Engineering, 2000, 13(2): 319-324.
[16]陆建飞, 聂卫东.饱和土中单桩在瑞利波作用下的动力响应[J].岩土工程学报, 2008, 30(2):225-231.
LU Jianfei, NIE Weidong.Dynamic response of single pile in saturated soil under Rayleigh wave[J].Journal of Geotechnical Engineering, 2008,30(2):225-231.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}