横观各向同性饱和土体振动分析
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摘要
基于饱和地基多孔介质理论,考虑了水土的惯性及耦合作用,研究了横观各向同性饱和地基的稳态振动问题。利用Hankel变换,得到饱和土的位移、应力、孔压的积分形式的解,由此利用数值Hankel逆变换给出了数值算例,最后讨论了横观各向同性饱和地基各向异性对地表竖向振幅的影响。
Based on the saturated porous medium’s theory,the inertia force of both the soil and the water is considered;the stable vibration problem of transversely isotropic saturated soils is studied.Hankel transform is used to obtain the displacement,stress and porewater pressure in integral form.The numerical inversion of Hankel transform is used to obtain some numerical results.Finally,the effect of the type and degree of soils anisotropy on the vertical amplitude of displacement is investigated.
Based on the saturated porous medium’s theory,the inertia force of both the soil and the water is considered;the stable vibration problem of transversely isotropic saturated soils is studied.Hankel transform is used to obtain the displacement,stress and porewater pressure in integral form.The numerical inversion of Hankel transform is used to obtain some numerical results.Finally,the effect of the type and degree of soils anisotropy on the vertical amplitude of displacement is investigated.
引文
[1]丁皓江.横观各向同性弹性力学[M].杭州:浙江大学出版社,1997.
[2]龚晓南.软粘土地基各向异性初步探讨[J].浙江大学学报,1986,20(4):98-109.
[3]LIAO J J,WANG C D.Elastic solutions for a transversely isotropic half-space subjected to a point load[J].International Journal for Numerical and Analytical Methods in Geomechanics,1998,22(6):425-447.
[4]Rudzki M P.On the propagation of an elastic surface wave in a transversely isotropic medium[J].Journal of Applied Geophysics,2003,54:185-190.
[5]WANG C D,LIAO J J.Elastic solutions of displacement for a transversely isotropic half-space subjected to three-dimensional buried parabolic rectangular loads[J].International Journal of Solids and Structures,2002,39:4 805-4 824.
[6]Wolf W H著,吴世明译.土与结构动力相互作用[M].北京:地震出版社,1989.
[7]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.I.Low-frequency Range[J].The Journal of Acoustical Society of America,1956,28(2):168-178.
[8]Carcione J M.Wave propagation in anisotropic saturated porous media:Plane-wave theory and numerical simulation[J].The Journal of Acoustical Society of America,1996,99(5):2 655-2 666.
[9]胡亚元.横观各向同性饱和土中波的传播[博士论文D].杭州:浙江大学,1998.各向异性参数ζα各向异性参数ζβ图3各向异性参数ζβ对地表振幅的影响Fig.3 Effect of variable of soil anisotropyζβ各向异性参数ζγ
[2]龚晓南.软粘土地基各向异性初步探讨[J].浙江大学学报,1986,20(4):98-109.
[3]LIAO J J,WANG C D.Elastic solutions for a transversely isotropic half-space subjected to a point load[J].International Journal for Numerical and Analytical Methods in Geomechanics,1998,22(6):425-447.
[4]Rudzki M P.On the propagation of an elastic surface wave in a transversely isotropic medium[J].Journal of Applied Geophysics,2003,54:185-190.
[5]WANG C D,LIAO J J.Elastic solutions of displacement for a transversely isotropic half-space subjected to three-dimensional buried parabolic rectangular loads[J].International Journal of Solids and Structures,2002,39:4 805-4 824.
[6]Wolf W H著,吴世明译.土与结构动力相互作用[M].北京:地震出版社,1989.
[7]Biot M A.Theory of propagation of elastic waves in a fluid-saturated porous solid.I.Low-frequency Range[J].The Journal of Acoustical Society of America,1956,28(2):168-178.
[8]Carcione J M.Wave propagation in anisotropic saturated porous media:Plane-wave theory and numerical simulation[J].The Journal of Acoustical Society of America,1996,99(5):2 655-2 666.
[9]胡亚元.横观各向同性饱和土中波的传播[博士论文D].杭州:浙江大学,1998.各向异性参数ζα各向异性参数ζβ图3各向异性参数ζβ对地表振幅的影响Fig.3 Effect of variable of soil anisotropyζβ各向异性参数ζγ
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