共查询到19条相似文献，搜索用时 125 毫秒
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采用直接刚度法计算自由场动力响应,以层状半空间中移动斜线均布荷载动力格林函数模拟散射波场,采用间接边界元方法求解了层状半空间中沉积谷地对斜入射平面SH波的三维散射问题.由于文中采用的层状场地三维动力刚度矩阵是精确的,且用于模拟散射波场的均布移动斜线荷载可以直接施加在沉积交界面处而不存在奇异性,所以本文方法具有很高精度.文中以均匀半空间和基岩上单一土层中沉积谷地对入射SH波的散射为例进行了数值计算,研究表明,沉积谷地对地震波的三维散射与二维散射之间存在本质差别;层状半空间中沉积谷地与均匀半空间中沉积谷地附近地表位移存在显著差异. 相似文献
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在层状半空间精确动力刚度矩阵和斜线荷载动力格林函数的基础上建立间接边界元方法,在频域内求解无破碎带断层场地对入射平面SH波的散射。为方便求解,将总波场分解为自由波场和散射波场,自由波场由直接刚度法求得,断层两侧的散射波场通过在断层面上分别对两侧施加均布斜线荷载产生的动力响应来模拟,虚拟荷载的密度可通过引入断层表面的边界条件确定,最后叠加自由波场和散射波场求得总波场。以有落差断层和无落差断层模型为例进行数值计算,分析断层落差、断层倾角以及断层两侧介质的刚度比对散射效应的影响。研究表明,断层落差与波长相当时,断层对SH波的放大作用最大;地表位移幅值随着断层倾角的增大逐渐增大;若断层无落差且其两侧刚度不同时,一般刚度较小一侧地表位移幅值较大且振荡更为剧烈,波从刚度较小一侧入射时位移幅值放大尤为显著。 相似文献
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平面SV波在层状半空间中沉积谷地周围的散射 总被引：2，自引：0，他引：2
采用间接边界元方法求解了入射平面SV波在层状半空间中沉积谷地周围的散射问题.问题的解答包含自由场和散射场两部分.自由场可由直接刚度法求得,散射场由层状半空间中斜线荷载动力格林函数来模拟.文中以入射平面SV波在基岩上单一土层中沉积谷地周围散射为例研究了土层和沉积谷地周围的影响.结果表明,由于考虑了土层的动力特性,平面SV... 相似文献
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弹性层状半空间中凸起地形对入射平面SH波的放大作用 总被引：7，自引：0，他引：7
对Wolf理论进行拓展,使之可解决凸起地形对波的散射问题,进而利用间接边界元法,求解了弹性层状半空间中凸起地形对入射平面SH波的放大作用问题。本文模型的显著特点之一是考虑了层状半空间的动力特性以及层状半空间和凸起地形的阻尼;特点之二是计算精度高。文中以基岩上单一土层中半圆凸起地形对入射平面SH波的放大作用为例进行了数值计算分析。研究表明,基岩上单一土层中凸起地形对入射平面SH波放大作用和均匀半空间中凸起地形有着本质的差别;土层动力特性不仅影响凸起地形地表位移的幅值,还会影响地表位移的频谱;阻尼会显著降低凸起地形对高频波的放大作用。 相似文献
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针对层状半空间中沉积谷地对斜入射瑞雷波的三维散射问题, 采用直接刚度法计算自由场波场, 以层状半空间中移动斜线均布荷载动力格林影响函数求解三维散射波场, 建立了求解该问题的间接边界元方法. 通过与已有结果的比较, 验证了该方法的正确性, 并以均匀半空间以及弹性基岩上单一土层场地中沉积谷地为例进行了计算分析. 研究结果表明: 层状半空间与均匀半空间中沉积谷地对瑞雷波的散射存在显著差别; 层状半空间中瑞雷波的振动模态对沉积附近位移幅值有着重要影响; 土层刚度和厚度等参数也对沉积附近位移幅值大小及空间分布有着显著的影响. 相似文献
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弹性层状半空间中沉积谷地对入射平面SH波的放大作用 总被引：6，自引：3，他引：6
对Wolf理论进行拓展,使之可解决沉积谷地对波的散射问题,进而利用间接边界元法,求解了弹性层状半空间中沉积谷地对入射平面SH波的放大作用问题。通过自由场反应分析,求得假想边界上各点的位移和各单元的应力反应。施加虚拟均布荷载,求得位移和应力的格林函数。根据应力和位移连续边界条件确定虚拟分布荷载,将自由场反应和虚拟分布荷载产生的反应叠加起来,即得到问题的解答。最后,以基岩上单一土层中沉积谷地对入射平面SH波的放大作用为例进行了数值计算分析,结果表明,层状半空间中沉积谷地和均匀半空间中沉积谷地对波的放大作用存在显著差别。文中分析了造成差别的原因,并讨论了覆盖层厚度和刚度对放大作用的影响。 相似文献
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流体饱和半空间二维地形三分量弹性波散射间接边界元模拟 总被引：1，自引：0，他引：1
无限长局部地形地震波斜入射响应问题称为二维三分量问题,在计算量远小于三维的情况下,一定程度上反映了近地表场地的三维动力响应特征.基于天然土体的成层性及固液两相耦合特性,以层状多孔介质内部移动线荷载(孔隙水压)动力格林函数作为基本解,开展流体饱和半空间二维地形三分量弹性波散射的2.5维间接边界元模拟研究.总场响应由自由波场和散射波场叠加构成,前者可由直接刚度法求得,后者则通过施加移动虚拟均布荷载和移动虚拟孔隙水压所产生的动力响应来模拟.该方法优势在于离散仅限于地形底边界(无须离散自由地表),格林函数计算不存在奇异性(荷载可直接加在边界上),容易控制计算精度,对复杂边界条件具有很强的适应性.在退化验证和精度比较的基础上,以梯形凹陷和半椭圆沉积地形为例,模拟了时域和频域的流体饱和半空间三维弹性波散射响应.研究表明:局部地形的地震动响应依赖于入射频率、入射角度、边界透水条件、土层刚度和土层厚度等,入射波、反射波和散射波相互干涉,极大延长了位移的振动持续时间. 相似文献
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沉积风化作用下土体表现出明显的成层特性和横观各向同性(TI)特性。将更为符合实际的TI介质模型引入到局部地形对地震波的散射问题研究有着重要的理论意义和工程实用价值。本文在TI土层平面外动力刚度矩阵的基础上,推导了斜线均布荷载动力格林函数,进而以该格林函数为基本解建立间接边界元方法研究了TI层状半空间中凹陷地形对平面SH波的散射问题。文中验证了方法的正确性,并分别在频域和时域内进行了数值计算分析。研究表明,TI介质中凹陷地形对SH波的散射与各向同性介质情况存在较大差异,凹陷附近地表位移幅值依赖于SH波的入射角度、入射频率和竖向与水平剪切模量比值;另外土体竖向与水平剪切模量比值对基岩上单一土层场地动力特性有着显著影响,进而使得TI层状场地凹陷附近位移幅值与各向同性情况差异变得更为复杂。 相似文献
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A new method is presented to study the scattering and diffraction of plane SH-waves by periodically distributed canyons in a layered half-space. This method uses the indirect boundary element method combined with Green’s functions of uniformly distributed loads acting on periodically distributed inclined lines. The periodicity feature of the canyons is exploited to limit the discretization effort to a single canyon, which avoids errors induced by the truncation of the infinite boundary, and the computational complexity and the demand on memory can be significantly reduced. Furthermore, the total wave fields are decomposed into the free field and scattered field in the process of calculation, which means that the method has definite physical meaning. The implementation of the method is described in detail and its accuracy is verified. Parametric studies are performed in the frequency domain by taking periodically distributed canyons of semi-circular and semi-elliptic cross-sections as examples. Numerical results show that the dynamic responses of periodically distributed canyons can be quite different from those for a single canyon and significant dynamic interactions exist between the canyons. 相似文献
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The scattering of plane SH-waves by topographic features in a layered transversely isotropic (TI) half-space is investigated by using an indirect boundary element method (IBEM). Firstly, the anti-plane dynamic stiffness matrix of the layered TI half-space is established and the free fields are solved by using the direct stiffness method. Then, Green’s functions are derived for uniformly distributed loads acting on an inclined line in a layered TI half-space and the scattered fields are constructed with the deduced Green’s functions. Finally, the free fields are added to the scattered ones to obtain the global dynamic responses. The method is verified by comparing results with the published isotropic ones. Both the steady-state and transient dynamic responses are evaluated and discussed. Numerical results in the frequency domain show that surface motions for the TI media can be significantly different from those for the isotropic case, which are strongly dependent on the anisotropy property, incident angle and incident frequency. Results in the time domain show that the material anisotropy has important effects on the maximum duration and maximum amplitudes of the time histories. 相似文献
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The dynamic soil-tunnel interaction is studied by the model of a rigid tunnel embedded in layered half-space,which is simplified as a single soil layer on elastic bedrock to the excitation of P- and SV-waves.The indirect boundary element method is used,combined with the Green's function of distributed loads acting on inclined lines.It is shown that the dynamic characteristics of soil-tunnel interaction in layered half-space are different much from that in homogeneous half-space,and that the mechanism of soil-tunnel interaction is also different much from that of soil-foundation-superstructure interaction.For oblique incidence,the tunnel response for in-plane incident SV-waves is completely different from that for incident SH-waves,while the tunnel response for vertically incident SV-wave is very similar to that of vertically incident SH-wave. 相似文献
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《地震科学（英文版）》2019,(Z1)
A two and a half dimensional(2.5 D) multidomain indirect boundary element method(IBEM) is developed to study the wave scattering of obliquely incident P-, SVand SH-waves by a hill-valley staggered topography in a multi-layered half-space. The IBEM algorithm includes using2.5 D full-space and half-space Green's functions to construct scattered fields in decomposed closed and opened half-space regions, respectively, and using the dynamic stiffness method to solve the free fields. All regions are finally integrated by introducing the compatibility conditions to obtain the total wave fields. The proposed 2.5 D IBEM has the flexibility in dealing with complex boundaries by directly applying the fictitious loads on the regions' boundaries, with a less storage requirement compared to the full 3 D models. Besides, by combining the specific advantages of the two kinds of Green's functions, the method is well suitable for handling coupled topographies with high accuracy. The method is validated by comparison with published results for a single valley as well as a single hill topography. The effects of height-to-width ratio of hill and layering on dynamic responses are further parametrically investigated by numerical implementations in frequency domain. Results show that the interaction between valley and hills can lead to a more significant amplification within the valley region, and dynamic responses are deeply influenced by the height-towidth of hill, simultaneously depending on incident angle and frequency. Besides, the site effects become more complex when the stratification feature is taken into account. 相似文献
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Green''''s functions for uniformly distributed loads acting on an inclined line in a poroelastic layered site 总被引：4，自引：0，他引：4
Based on one type of practical Biot's equation and the dynamic-stiffness matrices of a poroelastic soil layer and half-space, Green's functions were derived for uniformly distributed loads acting on an inclined line in a poroelastic layered site. This analysis overcomes significant problems in wave scattering due to local soil conditions and dynamic soil-structure interaction. The Green's functions can be reduced to the case of an elastic layered site developed by Wolf in 1985. Parametric studies are then carried out through two example problems. 相似文献
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三维层状场地的精确动力刚度矩阵及格林函数 总被引：3，自引：1，他引：3
本文对Wolf二维层状场地精确动力刚度矩阵进行推广,给出了三维层状场地的精确动力刚度矩阵。刚度矩阵具有对称的特点,且因刚度矩阵是精确的,计算结果不受土层单元厚度的影响,可以大大提高计算效率。文中对刚度矩阵进行了数值验证。利用三维层状场地动力刚度矩阵,计算分析了基岩上单一土层场地的动力响应。最后作为动力刚度矩阵的另一重要应用,给出了表面或埋置矩形均布荷载或集中荷载的动力格林函数计算方法。 相似文献
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Green＇s functions for uniformly distributed loads acting on an inclined line in a poroelastic layered site 总被引：2，自引：1，他引：1
Based on one type of practical Biot＇s equation and the dynamic-stiffness matrices ofa poroelastic soil layer and half-space, Green＇s functions were derived for unitformly distributed loads acting on an inclined line in a poroelastie layered site. This analysis overcomes significant problems in wave scattering due to local soil conditions and dynamic soil-structure interaction. The Green＇s functions can be reduced to the case of an elastic layered site developed by Wolf in 1985. Parametric studies are then carried out through two example problems. 相似文献
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The dynamic stiffness method combined with the Fourier transform is utilized to derive the in-plane Green’s functions for inclined and uniformly distributed loads in a multi-layered transversely isotropic(TI)half-space.The loaded layer is fixed to obtain solutions restricted in it and the corresponding reactions forces,which are then applied to the total system with the opposite sign.By adding solutions restricted in the loaded layer to solutions from the reaction forces,the global solutions in the wavenumber domain are obtained,and the dynamic Green’s functions in the space domain are recovered by the inverse Fourier transform.The presented formulations can be reduced to the isotropic case developed by Wolf(1985),and are further verified by comparisons with existing solutions in a uniform isotropic as well as a layered TI halfspace subjected to horizontally distributed loads which are special cases of the more general problem addressed.The deduced Green’s functions,in conjunction with boundary element methods,will lead to significant advances in the investigation of a variety of wave scattering,wave radiation and soil-structure interaction problems in a layered TI site.Selected numerical results are given to investigate the influence of material anisotropy,frequency of excitation,inclination angle and layered on the responses of displacement and stress,and some conclusions are drawn. 相似文献
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Using a thin-layer method enhanced by continued-fraction absorbing boundary conditions, dynamic responses of a layered half-space subjected to a series of constant and time-harmonic line loads moving at a constant speed are studied. The thin-layer method for moving line loads is formulated for plane-strain as well as antiplane-shear conditions and is verified by comparison of computed responses of a homogeneous half-space subjected to a single constant load on its surface against available analytical solutions. Next, time-harmonic loads on a homogeneous half-space are examined. The study continues with both constant and time-harmonic loads on a layered half-space. Finally, multiple constant and time-harmonic loads are considered. The formulation and results demonstrate the effectiveness and versatility of the method in problems of dynamic response of layered media to moving loads. 相似文献