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A piecewise partitioning Scaled Boundary Finite Element algorithm to solve viscoelastic problems with cyclic symmetry

机译:求解分段对称粘弹性问题的分段划分比例边界有限元算法

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摘要

Scaled Boundary Finite Element Method (SBFEM) and a temporally adaptive algorithm are combined to solve viscoelastic problems. By expanding variables at a discretized time interval, a spatially and temporally coupled viscoelastic problem is decoupled into a series of recursive spatial problems, which are solved by SBFEM, the computing accuracy in the time domain is controlled via a self-adaptive process. For the cyclic symmetric structures, the cyclic symmetry is exploited to reduce the computational expense of SBFEM, both the eigenvalue and system equations of SBFEM are partitioned into a number of smaller independent problems, which are solved by a partitioning algorithm. Two numerical examples are given to verify and illustrate the proposed approach.
机译:比例边界有限元方法(SBFEM)和时间自适应算法相结合来解决粘弹性问题。通过以离散时间间隔扩展变量,将时空耦合的粘弹性问题解耦为一系列递归的空间问题,这些问题由SBFEM解决,通过自适应过程控制时域中的计算精度。对于循环对称结构,利用循环对称性来减少SBFEM的计算开销,将SBFEM的特征值和系统方程均划分为多个较小的独立问题,并通过分区算法解决。给出了两个数值示例,以验证和说明所提出的方法。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2016年第12期|120-125a126-a128|共9页
  • 作者单位

    State Key Lab of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, PR China;

    State Key Lab of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, PR China;

    State Key Lab of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, 116024 Dalian, PR 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

    Viscoelasticity; Cyclic symmetry; SBFEM; Computational expense;

    机译:粘弹性;循环对称SBFEM;计算费用;

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