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High performance of the scaled boundary finite element method applied to the inclined soil field in time domain

机译:比例尺边界有限元方法在时域倾斜土场中的高性能

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摘要

An efficient method for modelling the wave propagation in semi-infinite domain is proposed. It is applicable to soil-structure interaction problems for complex inclined soil field. The scaled boundary finite element method is modified through the original scaling center substituting by a scaling line. Based on this scaling line, the dynamic stiffness equation is derived. Then, an accurate and efficient continued fraction method is firstly introduced for solving equation for the model with rigid bedrock. By using the continued fraction solution and introducing auxiliary variables, the equation of motion of unbounded domain is built. Coupling the far field modelling by modified scaled boundary finite element method with the near field modelling by the finite element method, the global time-domain equation is obtained, which is a standard equation of motion for the whole domain. As a key point, the precise time-integration method is firstly employed to solve global equation of motion. The advantages of this integration method are that the integral interval is divided into quite small piece. It makes sure the precision achieve to computer precision. Owning to adopting five terms Taylor expansion for each small integral interval, the computational precision is increased greatly. Applying precise time-integration method in this paper, it greatly improves the accuracy and computing speed of proposed method. By using the sub-structure method, the inclined soil field is modelled. Numerical examples demonstrate accuracy and high efficiency of the new method, especially for complex dip mediums.
机译:提出了一种有效的半无限域波传播建模方法。适用于复杂倾斜土场的土-结构相互作用问题。通过用缩放线代替原始缩放中心来修改缩放边界有限元方法。基于此缩放比例线,可以得出动态刚度方程。然后,首先引入一种精确有效的连续分数法求解刚性基岩模型的方程。通过使用连续分数解并引入辅助变量,建立了无界域的运动方程。将改进的比例边界有限元方法的远场建模与有限元方法的近场建模耦合,得到了全局时域方程,它是整个域的标准运动方程。首先,精确的时间积分方法被用来求解整体运动方程。这种积分方法的优点是将积分间隔分成很小的一块。它确保精度达到计算机精度。由于每个小整数区间采用五项泰勒展开,计算精度大大提高。本文采用精确的时间积分方法,大大提高了所提方法的准确性和计算速度。通过使用子结构方法,对倾斜的土壤场进行建模。数值算例说明了该新方法的准确性和高效率,特别是对于复杂的浸入介质。

著录项

  • 来源
  • 作者

    Shan Lu; Jun Liu; Gao Lin;

  • 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,State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China,State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Najing Hydraulic Research Institute, Nangjing, 210098, China;

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

    Scaled boundary finite element method; Soil-structure interaction; Wave propagation; Complex inclined soil field;

    机译:比例边界有限元法;土壤-结构相互作用;波传播;复杂的倾斜土壤田;

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