局部地形对出平面运动谱特性的影响分析

本文利用显式有限元有限差分方法进行了脉冲和实际地震动输入下的粘弹性场地地形影响的分析计算,研究了坡地地形在高宽比不同、体波入射角度不同时出平面运动谱特性的差异。结果显示:地形的特征尺寸和入射角度不仅对地震动的峰值有影响,而且对地震动的谱特性有较大的影响,其中入射角度的影响尤为显著。另外,研究还表明,基于脉冲输入研究粘弹性地形谱特性的影响仍不失为一种有效的方法。     

局部地形对入射P波谱特性的影响分析

利用显式有限元有限差分方法研究了局部突出平台状粘弹性场地的地形影响,比较了高宽比不同、体波入射角度不同时谱特性的差异,分析了相邻地形的存在对地面运动谱特性的影响。研究结果表明,对于局部突出地形,高宽比和体波入射角度对地震动的谱特性有较大影响,入射角度的影响更为显著;相邻地形的存在使地面运动进一步放大。     

Free-field response from inclined SV- and P-waves and Rayleigh-waves

To identify the key features of the free-field response for inplane motion, a vast parametric study is performed, varying the location of the control point, the nature of the wave pattern and the site properties. Harmonic excitation for a site consisting of a layer on bedrock is investigated. The nature of the wave pattern producing the site response is classified with respect to the apparent velocity of the motion propagating horizontally across the site. When the control point is selected at the outcrop of the bedrock, the amplification of the motion to the free surface of the site depends on the angle of incidence of the incoming wave in the bedrock. The amplification of the vertical motion for incident P-waves hardly depends (with a tendency of being somewhat larger compared to vertical incidence) on the angle of incidence in the bedrock. The amplification of the horizontal motion for incident SV-waves is affected strongly by the angle of incidence, being larger or smaller than for vertical incidence. Interpreting the two components of the motion at the free surface as arising from a combination of incident P- and SV-waves leads to amplifications within the site (for the horizontal and vertical directions) which do not depend, from a practical point of view, on the angle of incidence and on the prescribed motion up to the fundamental frequency in the horizontal and vertical directions, respectively. The variation of the motion for the first Rayleigh-mode with depth in the two directions bears comparison, in general, with that of vertically incident waves up to the corresponding fundamental frequency. The higher Rayleigh-modes lead to a completely different variation with depth. In contrast to Rayleigh-waves the attenuation of the motion in the horizontal direction for inclined body waves depends on the damping of only the bedrock. Rayleigh-waves thus attenuate more strongly than body waves, especially in the higher-frequency range. Generally, higher Rayleigh-modes attenuate less than the first.     

频率-空间域CPML和特征分析法组合边界研究

在地震波场数值模拟过程中,边界反射是影响其模拟结果的一个重要因素。实际地下介质具有各向异性特征,传统的完全匹配层边界（PML）对于小入射角地震波具有良好效果,但该方法并不能有效地吸收低频波和大角度入射波。针对VTI介质边界反射的问题,本文提出在频率-空间域有限差分法数值模拟中采用卷积完全匹配层（CPML）和特征分析法的组合边界条件,并对该组合边界条件进行数值模拟实验和边界反射吸收效果分析,验证所提方法是一种可靠的人工吸收边界条件,能够有效地压制波场模拟过程中产生的边界反射。      

SV波全反射作用下地震动的合成及振动特性

越来越多的研究表明来自基岩的地震波并不是垂直地面向上传播的。地震波在斜入射与垂直入射时所产生的场地效应有很大不同,由于存在全反射现象,SV波在斜入射时产生的场地效应更为复杂。文章基于均匀弹性半空间地震波传播理论,分别推导得到SV波入射角在小于、大于等于临界角时地震动的计算表达式,通过模型算例研究SV波全反射作用下的地震动特性。研究发现：由SV波产生的地震动主要由入射波和反射波构成,滑行波作用可以忽略;地面运动轨迹具有面波旋转振动特点;随着入射角的增大,地面震动从以水平方向振动为主逐渐过渡到以垂直方向振动为主,两个方向的振动均小于入射波峰值的2倍。     

声波在两种多孔介质界面上的反射和透射

本文导出了声波在两种多孔介质界面上反射、透射的一般计算公式.作为例子,数值计算了P₁波入射于界面时,P₁、P₂和S波的反射、透射系数与声波频率、入射角等量之间的关系.结果表明,各种模式波的反射、透射系数与入射角、多孔介质性质有关,在Biot特征频率附近与频率有关,并用界面两侧的法向能流相等验证了结果的正确性.若把多孔介质当作均匀固体处理,将会得到显著不同的结果.     

P波入射下断层参数对地表地震动的影响

基于应用透射人工边界条件的显式有限元法计算断层破碎带宽度及力学参数变化、地震动入射角变化时二维断层场地模型P波入射下地表地震动场的分布。结果表明:(1)低速度破碎带的存在导致整个场地都有P波转换为SV波的分量,且在断层破碎带的区域出现断层陷波;(2)低速度破碎带的存在使输入场地恒定的能量向破碎带集聚放大,随着破碎带宽度增大或其介质波速降低集聚放大效应增大;(3)场地放大效应是频率相关的,宽度较宽或介质波速较低的断层破碎带对输入地震动中较低的频率成份放大显著;(4)竖向断层破碎带能阻隔斜入射地震P波,随着入射角增加隔震效应更显著。     

SV波斜入射下凸起地形对地震动特性的影响分析

针对10种不同坡角的凸起地形,采用基于透射边界的有限元-有限差分计算方法,研究了局部凸起在SV波斜入射时,地震动峰值加速度放大倍数和反应谱谱比随入射角度的变化规律。结果表明:①地震波以一定的角度斜入射时,地表大部分观测点的峰值加速度放大倍数大于垂直入射的情况;②在计算模型宽高比一定的情况下,最不利入射角度与坡角有一定关系,且地表最不利位置随坡角增大由凸起台地边缘向中心移动;③入射角度对凸起地形地震反应谱特性的影响十分显著,不但影响谱比的幅值,也影响谱比曲线的形状,斜入射时各关键节点大部分周期点的谱比值大于垂直入射,入射角度对反应谱中的高频成分影响较为显著,而对长周期成分影响不大。     

Impact of incident angles of P waves on the dynamic responses of long lined tunnels

The impact of the incident angle of earthquake motion on the seismic response of the long lined tunnels is studied. Based on the time‐domain finite element method with the viscous‐spring artificial boundary condition, the earthquake motion of oblique incidence is transformed into the equivalent nodal forces acting on the truncated boundary of finite element model. In the present work, the formulas of equivalent nodal forces for the plane P wave with arbitrary incident angle are deduced and implemented into the commercial software abaqus   1 . The effectiveness of the formulas and its implementation are demonstrated by two numerical examples with the reference solutions. The proposed method is applied to investigate the seismic responses of the long lined tunnels under the obliquely incident P waves. The numerical results indicate that the seismic responses of the long lined tunnels are highly affected by the incident angles of P waves. Copyright © 2016 John Wiley & Sons, Ltd.     

山谷地形对入射SV波地震反应分析

基于黏弹性人工边界的显式动力有限元方法,研究了突出平台状山谷地形场地的地形效应,分析了山谷地形对地表地震动的影响.结果表明:(1)沿着地震动输入方向地表反应较其他方向上的反应强烈;(2)与单一凸起山体地形对地表地震动的放大效应相比,相邻地形的存在对地表地震动位移傅里叶谱谱比曲线的形状影响不大,但是对PGD有着较大的影响...     

Free-field response from inclined SH-waves and love-waves

To identify the key features of the free-field response for antiplane motion, a vast parametric study is performed, varying the location of the control point, the nature of the wave pattern and the site properties. Harmonic and transient seismic excitations for a site consisting of a layer on bedrock and an actual soft site and a rock site are investigated. When the control point is selected at the outcrop of the bedrock, the amplification of the motion to the free surface of the site depends on the angle of incidence of the incoming wave in the bedrock. Vertically incident, inclined SH-waves and Love-waves result in a very similar variation of the motion with depth. In contrast to Love-waves the attenuation of the motion in the horizontal direction for inclined body waves depends on the damping of only the bedrock. Love-waves thus attenuate more strongly than body waves, especially for soft sites and in the higher-frequency range. Generally, higher Love-modes attenuate less than the first. To determine the seismic input motion for a structure at a soft site, it seems sufficient to examine only extremely shallow body waves. For a rock site, however, Love-waves should be investigated.     

Dynamic response of a group of flexible foundations to incident seismic waves

The dynamic response of a finite number of flexible surface foundations subjected to harmonic incident Rayleigh or SH waves is presented. The foundations are assumed to be resting on an elastic half-space. The results show that the foundation stiffness has a marked effect on the vertical response, while there is only a minor effect on the horizontal displacements. In general, the dynamic response decreases with increasing foundation stiffness. In cases of Rayleigh wave incidence, the existence of an adjacent foundation generates a certain amount of horizontal response in the direction perpendicular to the incident wave and subsequently causes the system to undergo a torsional motion; while in cases of horizontally incident SH waves, a vertical response has been observed and its magnitude is comparable to the response in the direction of the incident wave.     

考虑不同地震输入方向的输电塔-线体系连续性倒塌研究

选取一实际输电线路为实例,在ABAQUS里选用梁-杆混合单元生成了该工程的计算模型。采用自主研发的用户材料子程序,研究了输电塔-线体系在3种不同地震波作用下的倒塌破坏过程与倒塌机理。结果表明:相比于侧向,纵向是输电塔-线体系的相对不利方向;两种激励情况下,最容易失效的杆件类型均为辅助材,破坏最严重杆件类型均为斜材;不同地震波以及不同输入方向通常会导致不同的薄弱位置。     

Seismic stability of jointed rock slopes under obliquely incident earthquake waves

Seismic stability of slopes has been traditionally analyzed with vertically propagated earthquake waves. However, for rock slopes, the earthquake waves might approach the outcrop still with a evidently oblique direction. To investigate the impact of obliquely incident earthquake excitations, the input method for SV and P waves with arbitrary incident angles is conducted, respectively, by adopting the equivalent nodal force method together with a viscous-spring boundary. Then, the input method is introduced within the framework of ABAQUS software and verified by a numerical example. Both SV and P waves input are considered herein for a 2D jointed rock slope. For the jointed rock mass, the jointed material model in ABAQUS software is employed to simulate its behavior as a continuum. Results of the study show that the earthquake incident angles have significance on the seismic stability of jointed rock slopes. The larger the incident angle, the greater the risk of slope instability. Furthermore, the stability of the jointed rock slopes also is affected by wave types of earthquakes heavily. P waves induce weaker responses and SV waves are shown to be more critical.     

层状围岩隧道交叉结构地震方向敏感性分析

依托某层状围岩深埋铁路隧道工程,以主线单线隧道与横通道正交结构为研究对象,通过ABAQUS建立有限元分析模型.选取12条地震波数据,模拟基岩SV波地震作用,调整地震动峰值加速度和地震动入射方向,对研究结构随地震动输入方向的敏感性进行分析.研究分析得到:二次衬砌在地震入射角度为30°～45°时对地震动方向变化敏感性较低,...     

圆弧形凹陷在SH波入射下瞬态反应的解析解

针对现有地震波散射问题的解析解均在频域内给出,其适用的频带较窄,不能获取到可靠的瞬态反应解析解的问题,本文利用宽频带频域解析解进一步获取了不同空间点地震反应的宽频带频响函数,并基于傅里叶变换得出SH波入射下圆弧形凹陷地形瞬态动力响应的解析解.以上述为基础,研究了输入脉冲与实际地震动时凹陷的瞬态反应的基本特征,并重点分析...     

Influences of type of wave and angle of incidence on seismic bending moments in pile foundations

When analysing the seismic response of pile groups, a vertically‐incident wavefield is usually employed even though it does not necessarily correspond to the worst case scenario. This work aims to study the influences of both the type of seismic body wave and its angle of incidence on the dynamic response of pile foundations. To this end, the formulation of SV, SH and P obliquely‐incident waves is presented and implemented in a frequency‐domain boundary element‐finite element code for the dynamic analysis of pile foundations and piled structures. Results are presented in terms of bending moments at cap level of single piles and 3 × 3 pile groups, both in frequency and in time domains. It is found that, in general, the vertical incidence is not the most unfavourable situation. In particular, obliquely‐incident SV waves with angles of incidence smaller than the critical one, a situation in which the mechanism of propagation of the waves in the soil changes and surface waves appear, yield bending moments much larger than those obtained for vertically‐incident wavefields. It is also shown that the influence of pile‐to‐pile interaction on the kinematic bending moments becomes significant for non‐vertical incidence, especially for P and SV waves. Copyright © 2013 John Wiley & Sons, Ltd.     

Scattering of obliquely incident seismic waves by a cylindrical valley in a layered half-space

Three-dimensional scattering of seismic waves by a cylindrical alluvial valley embedded in a layered half-space is investigated by using the combination of the boundary integral representation and the finite element method. The surface displacements due to incident plane harmonic body waves (P, SV and SH) propagating at an arbitrary angle to the axis of the cylindrical valley are evaluated numerically for two semi-elliptical alluvial valleys. The presence of the layer is found to have a strong effect on the amplification of the surface displacements in some cases. The three-dimensional motion seems to be quite critical and may cause large amplification. The surface ground motion becomes significant when compared with corresponding free-field motion as the wavelengths become comparable to the characteristic length of the valley. The maximum amplification always occurs atop the valley. Numerical results show that the amplitude and the amplification pattern of the surface displacement strongly depend upon the frequency, the angle and the type of the incident waves.     

地震动入射角度对地下结构地震响应的影响

考虑土-结构接触面效应和场地初始静应力影响,基于大型商用有限元软件ANSYS和粘弹性人工边界条件,采用动力松弛法的分析思路,建立了一种地震动斜入射条件下地下结构的接触非线性动力反应分析模型和方法,并讨论了地震动入射角度对地下结构动力反应的影响。结果表明：地震波斜入射使得结构的整体反应发生明显变化;随着入射角度的增加,节点的水平向应力反应明显增大,竖向应力峰值较小,增大程度也相对较小;节点的位移峰值随输入加速度峰值的增大也有一定的变化。因此,在分析近源地震作用下的地下结构动力响应时,需要考虑地震动的非一致输入问题。     

剪切波在双层方位各向异性介质传播中分裂参数的变化特性

以质元运动方程和应力应变关系为基础建立了各向异性介质的波动方程．从数学上对体波在各向异性介质中的传播进行了严格的数学推导,给出了各向异性介质中三种体波波速与介质弹性常数及波传播方向的数学关系．由此对剪切波在单层和双层弱方位各向异性介质中的分裂行为进行了系统讨论,给出了合成分裂参数、每一层分裂参数与入射剪切波偏振方向的数学表达式．假定每一层分裂参数之后,得到了合成分裂参数随入射方位角变化的合成地震图．研究表明,剪切波在双层各向异性介质中传播时产生的两对分裂剪切波可用一合成分裂因子来描述．由合成分裂因子确定的分裂参数随入射剪切波偏振方向的变化呈现出π／2的变化周期．其结果可用于双层各向异性介质反演研究,对进一步解释板块运移、地幔对流规模、深源地震成因、浅部地震构造及深部力源问题等有参考意义．