A Fast Frequency Domain Boundary Element Method for Transient Elastodynamic Analysis

doi:10.7652/xjtuxb201403021

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A Fast Frequency Domain Boundary Element Method for Transient Elastodynamic Analysis

更新时间：2025-04-29

- A Fast Frequency Domain Boundary Element Method for Transient Elastodynamic Analysis
- Vol. 48, Issue 3, Pages: 115-120(2014)
- 作者机构：
  
  西北工业大学航天学院,西安,710072
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201403021
  CLC： O353.2
- Online First：10 March 2014，
  
  Published：2014
- 稿件说明：
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A Fast Frequency Domain Boundary Element Method for Transient Elastodynamic Analysis[J]. 2014, 48(3): 115-120.
DOI：

A Fast Frequency Domain Boundary Element Method for Transient Elastodynamic Analysis[J]. 2014, 48(3): 115-120. DOI： 10.7652/xjtuxb201403021.

摘要

为解决常规基于离散傅里叶变换的频域边界元法难以解决无阻尼和低阻尼系统瞬态分析的问题

将指数窗口法与频域边界元法相结合

并采用预校正快速傅里叶变换(pFFT)方法加速边界元求解。为进一步提高分析效率

针对频域边界元法所形成的系列线性方程组

提出了一种最小二乘外推法以获得较高精度的迭代初值

可使初始解残差小于10

-2

从而显著减少了迭代次数; 将新型的子空间回收算法用于频域系列线性方程组的求解

加快了方程组的迭代收敛速度。算例表明

所提出的方法可显著减少频域边界元法的迭代次数

从而提高了计算效率

并有效降低了迭代解法的内存消耗。

Abstract

The conventional frequency-domain boundary element method(BEM)based on discrete Fourier transform is difficult to complete transient analysis of low damped and undamped systems. To solve this problem

the exponential window method is combined with the frequency-domain BEM

and the precorrected fast Fourier transform(pFFT)is used to accelerate the frequency-domain BEM analysis. For solving the sequence of linear systems corresponding to the sampling frequencies with higher efficiency

an extrapolation method is proposed to obtain good initial guesses. In addition

a newly developed Krylov subspace recycling method is employed to solve this sequence of linear systems. Numerical examples demonstrate a dramatic reduction of iterations

which leads to higher efficiency and smaller memory consuming.

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references

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