二维盆地场地土层动力特性的复模态识别法

COMPLEX-MODE-BASED IDENTIFICATION METHOD FOR DYNAMIC CHARACTERISTICS OF SOIL LAYER ON TWO-DIMENSIONAL BASIN SITE

  • 摘要: 直接对二维盆地场地的土层-基岩整体模型进行复模态分析时,从众多模态中筛选出少量的土层局部模态存在一定的难度。为此,提出了修正局部模态质量比形成二维盆地场地土层动力特性的复模态识别法。该方法采用状态空间法计算辐射阻尼影响下的土体-基岩整体有限元模型的复模态,通过修正局部模态质量比识别盆地场地土层的局部模态。以半椭圆形和矩形盆地场地为例,讨论盆地场地不同计算模型所得土层动力特性的差异,研究了盆地场地土层的几何形状、宽深比及阻抗比对局部模态数量的影响。计算结果表明:采用修正局部模态质量比可以有效地从众多模态中识别出盆地场地的土层局部模态;局部模态数目随着盆地宽深比的增大而增多,随阻抗比的增大而减小;当盆地场地的土和基岩的阻抗比大于0.4后,不出现明显的土层局部模态。

     

    Abstract: For the complex modal analysis of the soil-bedrock model of two-dimensional basin site, it is difficult to select several local soil modes from the numerous modes. Therefore, the modified local modal mass ratio is proposed to form the complex-mode-based identification method for the dynamic characteristics of soil layer on a two-dimensional basin site. The method uses the state-space method to calculate the complex modes of the soil-bedrock finite element model including the influence of radiation damping. Then, the local modes of the soil are identified by the modified local modal mass ratio. Taking the semi-elliptic and rectangular basin sites as examples, the difference of dynamic characteristics obtained from different calculation models of basin sites is discussed, and the influence of soil layer geometry, of width-depth ratio and, of impedance ratio on the number of local modes is studied. The numerical results show that the modified local modal mass ratio can effectively identify the local modes of soil in the basin site. The number of local modes increases with the increase of a basin width-depth ratio and decreases with the increase of an impedance ratio. When the impedance ratio between soil and bedrock in the basin site is greater than 0.4, obvious local modes of a soil layer would not be observed.

     

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