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首页> 外文期刊>Soil Dynamics and Earthquake Engineering >Effect of geometry on in-plane responses of a symmetric canyon subjected by P waves
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Effect of geometry on in-plane responses of a symmetric canyon subjected by P waves

机译：几何形状对对称波在P波作用下的面内响应的影响

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Topographic site effects in anti-plane problems have been studied for four decades cause of the obtained analytical solutions. The authors have developed proposed hybrid methods combining Lamb's series with finite element method (FEM) to resolve the problem of anti-plane scattering; however, it has been difficult to account for site effects in in-plane problems due to mode conversion. In this study, we sought to resolve this issue by developing a novel hybrid method to investigate the site effects of a canyon subjected to longitudinal waves (Pwaves) as well as horizontal and vertical displacement amplitudes (|ux|and|uz|) near and along canyons of various shapes. A transfinite interpolation function (TFI) was used to obtain the coordinates of nodes and conduct node numbering in the inner finite region within the canyon. Combining hybrid method with TFI function, similar procedures can be used to resolve the scattering problems in both anti-plane and in-plane problems.Canyons are divided into three groups according to shape: 1) smooth shallow, 2) non-smooth, and 3) smooth deep. We also examine the incident angle ofPwaves (θ), the dimensionless frequencies (η), and the shape of a canyon in terms of their effect on|ux|and|uz|. These factors were shown to generate site effects, including canyon-decay-effect, oblique-effect, shield effect, and SDCP (slope discontinuous points) effect. The site effects induce variations in|ux|and|uz|with constructive interference in the illuminated zone, destructive interference in the shadow zone, and attenuation along the surface of the canyon.
机译：反平面问题中的地形站点效应已经研究了四十年，这是获得解析解决方案的原因。作者已经提出了将Lamb系列与有限元方法（FEM）结合起来的混合方法，以解决反平面散射问题。但是，由于模式转换，很难解决平面问题中的站点效应。在这项研究中，我们试图通过开发一种新颖的混合方法来解决这个问题，该方法研究峡谷受到纵波（Pwaves）以及附近和附近的水平和垂直位移幅度（| ux | and | uz |）的影响。沿着各种形状的峡谷。使用超限插值函数（TFI）获得节点的坐标并在峡谷内的内部有限区域中进行节点编号。将混合方法与TFI功能相结合，可以使用类似的程序来解决反平面和平面内问题的散射问题。根据形状将峡谷分为三类：1）光滑浅，2）非光滑和3）深层光滑。我们还根据它们对| ux |和| uz |的影响，研究了P波的入射角（θ），无因次频率（η）和峡谷的形状。这些因素已显示出会产生场地效应，包括峡谷衰减效应，倾斜效应，屏蔽效应和SDCP（斜坡不连续点）效应。位置效应会在照明区域内产生相长干涉，在阴影区域内产生相消干涉，并沿峡谷表面衰减，从而引起变化。

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