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首页> 外文期刊>Applied Mathematical Modelling >Duality system-based derivation of the modified scaled boundary finite element method in the time domain and its application to anisotropic soil
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Duality system-based derivation of the modified scaled boundary finite element method in the time domain and its application to anisotropic soil

机译：基于对偶系统的时域尺度边界有限元修正方法的推导及其在各向异性土中的应用

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摘要

In this study, an efficient method is proposed for the dynamic analysis of a two-dimensional semi-infinite soil with rigid bedrock, which is applicable to the cross-isotropic and anisotropic soil models. The original scaling center is replaced by a scaling line, so the modified scaled boundary finite element method (SBFEM) is more suitable for analyzing the horizontal layered soil. For the first time, the dual system is employed to derive the displacement equation for the modified SBFEM. By introducing the dual variables, the governing equations are derived in the framework of a Hamilton system. Next, the dynamic stiffness equation is obtained according to the weighted residuals method. The displacement equation of motion for the far field is built by applying the continued fraction method and introducing auxiliary variables. Based on the sub-structure method, the far field can be seamlessly coupled with the near field. Importantly, the efficient and precise time-integration method is first employed to solve the global equation of motion. High computational precision can be achieved using the proposed method. An extremely efficient and accurate solution can be obtained by applying this method to solve the equation of motion for the modified SBFEM. Finally, the accuracy and high efficiency of the proposed method is demonstrated for the anisotropic soil model based on numerical examples.
机译：提出了一种有效的二维刚性基岩半无限土动力分析方法，适用于横观各向同性和各向异性的土体模型。原来的缩放中心由缩放线代替，因此改进的缩放边界有限元方法（SBFEM）更适合分析水平分层土壤。首次采用对偶系统来导出修改后的SBFEM的位移方程。通过引入对偶变量，在汉密尔顿系统的框架中导出控制方程。接下来，根据加权残差法获得动力刚度方程。应用连续分数法并引入辅助变量，建立远场运动位移方程。基于子结构方法，远场可以与近场无缝耦合。重要的是，首先采用有效而精确的时间积分方法来求解全局运动方程。使用所提出的方法可以实现较高的计算精度。通过应用此方法来求解修改后的SBFEM的运动方程，可以获得非常有效和准确的解决方案。最后，通过算例验证了该方法在各向异性土模型中的准确性和有效性。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2016年第10期|5230-5255|共26页
  • 作者

    Gao Lin; Shan Lu; Jun Liu;

  • 作者单位

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China;

    School of Hydraulic Engineering, Faculty of Infrastructure Engineering, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Anisotropic soil; Dynamic soil-structure interaction; Hamilton system; Precise time-integration method; Scaled boundary finite element method;

    机译：各向异性土壤;动态土-结构相互作用;汉密尔顿系统精确的时间积分方法;比例边界有限元法;

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