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Efficiency improvement of the frequency-domain BEM for rapid transient elastodynamic analysis

机译：快速瞬态弹性动力学分析的频域边界元效率提高

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摘要

The frequency-domain fast boundary element method (BEM) combined with the exponential window technique leads to an efficient yet simple method for elastodynamic analysis. In this paper, the efficiency of this method is further enhanced by three strategies. Firstly, we propose to use exponential window with large damping parameter to improve the conditioning of the BEM matrices. Secondly, the frequency domain windowing technique is introduced to alleviate the severe Gibbs oscillations in time-domain responses caused by large damping parameters. Thirdly, a solution extrapolation scheme is applied to obtain better initial guesses for solving the sequential linear systems in the frequency domain. Numerical results of three typical examples with the problem size up to 0.7 million unknowns clearly show that the first and third strategies can significantly reduce the computational time. The second strategy can effectively eliminate the Gibbs oscillations and result in accurate time-domain responses.
机译：频域快速边界元方法（BEM）与指数窗技术相结合，导致了一种有效而简单的弹性力学分析方法。本文通过三种策略进一步提高了该方法的效率。首先，我们建议使用具有较大阻尼参数的指数窗来改善BEM矩阵的条件。其次，引入频域加窗技术以缓解由大阻尼参数引起的时域响应中的严重吉布斯振荡。第三，应用解决方案外推方案以获得更好的初始猜测，以解决频域中的顺序线性系统。三个典型示例的问题大小高达70万个未知数的数值结果清楚地表明，第一种和第三种策略可以显着减少计算时间。第二种策略可以有效消除吉布斯振荡，并产生准确的时域响应。

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