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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Two dynamic explicit methods based on double time steps
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Two dynamic explicit methods based on double time steps

机译：基于双时间步长的两种动态显式方法

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摘要

The primary purpose of this paper is to develop novel fast dynamic methods for large-scale problems of structural dynamics at the least computational efforts. The explicit method of double time steps (EMDTS) is proposed through integration with the assumption of linear acceleration in two time steps. The corrected explicit method of double time steps (CEMDTS) is obtained after correcting the EMDTS. The analyses of stability, accuracy, numerical dissipation and dispersion are performed on the proposed methods. Finally, both linear and nonlinear numerical examples are utilised for the comparison of the two new methods and the established methods. The results show that the EMDTS is unstable in undamped linear systems; however, the CEMDTS has a nondissipative property and the same stability condition as the explicit central difference method (ECDM). The amplitude error of the EMDTS is greater than that of the CEMDTS and the ECDM when the time step is large. The CEMDTS possesses excellent comprehensive properties with less damping ratio error and periodic error than the ECDM in the case of small time steps at almost the same computational efforts. Three numerical examples manifest that the CEMDTS is better than the EMDTS, and endowed with good accuracy and stable properties.
机译：本文的主要目的是以最少的计算工作来开发新颖的快速动力学方法，以解决结构动力学的大规模问题。通过结合线性加速度在两个时间步长的假设，提出了双时间步长的显式方法（EMDTS）。在校正EMDTS之后，可以获得校正后的双时间步长的显式方法（CEMDTS）。对所提出的方法进行了稳定性，精度，数值耗散和色散分析。最后，利用线性和非线性数值示例对两种新方法和已建立的方法进行了比较。结果表明，EMDTS在无阻尼线性系统中是不稳定的。但是，CEMDTS具有非耗散特性，并且具有与显式中心差分法（ECDM）相同的稳定性条件。当时间步长较大时，EMDTS的幅度误差大于CEMDTS和ECDM的幅度误差。 CEMDTS具有优异的综合性能，在几乎相同的计算工作量下，在较小的时间步长的情况下，其阻尼比误差和周期性误差均小于ECDM。三个数值例子表明，CEMDTS优于EMDTS，并且具有良好的精度和稳定的性能。

著录项

  • 来源
  • 作者

    Chao Yang; Shoune Xiao; Liantao Lu; Tao Zhu;

  • 作者单位

    Traction Power State Key Laboratory, Southwest Jiaotong University, Chengdu 610031, China;

    Traction Power State Key Laboratory, Southwest Jiaotong University,Chengdu, China;

    Traction Power State Key Laboratory, Southwest Jiaotong University,Chengdu, China;

    Traction Power State Key Laboratory, Southwest Jiaotong University,Chengdu, 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

    Double time steps; explicit method; stability; accuracy;

    机译：双重时间步长;显式方法稳定性;准确性;

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