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

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Abstract

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.

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Acknowledgments

JX and LW were supported by the NSFC under Grant 11102154 and 11074201, and the New Teacher Fund for Doctor Station from the Chinese Ministry of Education under Grant 20106102120009. WY was supported by Hong Kong Research Grants Council under Competitive Earmarked Research Grant 621411.

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Authors and Affiliations

  1. College of Astronautics, Northwestern Polytechnical University, Xi’an, 710072 , China

    Jinyou Xiao & Lihua Wen

  2. Department of Mechanical Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

    Wenjing Ye

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  1. Jinyou Xiao
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  2. Wenjing Ye
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  3. Lihua Wen
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Correspondence to Jinyou Xiao.

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Xiao, J., Ye, W. & Wen, L. Efficiency improvement of the frequency-domain BEM for rapid transient elastodynamic analysis. Comput Mech 52, 903–912 (2013). https://doi.org/10.1007/s00466-013-0852-9

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  • DOI: https://doi.org/10.1007/s00466-013-0852-9

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