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Transient elastodynamic analysis with a combination of convolution quadrature method and pseudo-initial condition method

机译：卷积求积法与拟初始条件法相结合的瞬态弹性动力学分析

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摘要

Purpose The Convolution Quadrature Method (CQM) has been widely applied to solve transient elastodynamic problems because of its stability and generality. However, the CQM suffers from the problems of huge memory requirement in case of direct implementation in time domain or CPU time in case of its reformulation in Laplace domain. The purpose of this paper is to combine the CQM with the pseudo-initial condition method (PICM) to achieve a good balance between memory requirement and CPU time.Design/methodology/approach The combined methods first subdivide the whole analysis into a few sub-analyses, which is dealt with the PICM, namely, the results obtained by previous sub-analysis are used as the initial conditions for the next sub-analysis. In each sub-analysis, the time interval is further discretized into a number of sub-steps and dealt with the CQM. For non-zero initial conditions, the pseudo-force method is used to transform them into equivalent body forces. The boundary face method is employed in the numerical implementation. Three examples are analyzed. Results are compared with analytical solutions or FEM results and the results of reformulated CQM.Findings Results demonstrate that the computation time and the storage requirement can be reduced significantly as compared to the CQM, by using the combined approach.Originality/value The combined methods can be successfully applied to the problems of long-time dynamic response, which requires a large amount of computer memory when CQM is applied, while preserving the CQM stability. If the number of time steps is high, then the accuracy of the proposed approach can be deteriorated because of the pseudo-force method.
机译：目的卷积正交方法（CQM）由于其稳定性和通用性而被广泛用于解决瞬态弹性动力学问题。但是，如果在时域中直接实施，或者在Laplace域中重新制定格式，则CQM会遇到巨大的内存需求。本文的目的是将CQM与伪初始条件方法（PICM）结合使用，以在内存需求和CPU时间之间达到良好的平衡。设计/方法/方法结合的方法首先将整个分析细分为以下几个子部分：由PICM处理的分析，即以前的子分析获得的结果用作下一个子分析的初始条件。在每个子分析中，时间间隔都会进一步离散为多个子步骤，并由CQM处理。对于非零初始条件，使用伪力法将其转换为等效的体力。数值计算采用边界面法。分析了三个例子。将结果与分析解决方案或FEM结果以及重新制定的CQM结果进行比较。结果表明，与CQM相比，使用组合方法可以显着减少计算时间和存储需求。成功地应用于长期动态响应问题，在应用CQM时需要大量的计算机内存，同时保持CQM的稳定性。如果时间步长很高，则由于拟力法，所提出的方法的准确性可能会下降。

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  • 来源
    《Engineering Computations》 |2019年第1期|334-355|共22页
  • 作者

    Li Yuan; Zhang J.; Zhong Yudong; Shu Xiaomin; Dong Yunqiao;

  • 作者单位

    Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China|Henan Normal Univ, Coll Comp & Informat Engn, Xinxiang, Peoples R China;

    Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China;

    Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China;

    Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R China;

    Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Changsha, Hunan, Peoples R 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

    Convolution quadrature method; Elastodynamic; Pseudo-force method; Pseudo-initial condition method; Time-domain BEM;

    机译：卷积求积法弹塑性拟力法拟初始条件法时域边界元法;

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