Effective loading algorithm associated with explicit dynamic relaxation method for simulating static problems

Effective loading algorithm associated with explicit dynamic relaxation method for simulating static problems
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与模拟静态问题的显式动态松弛方法相关的有效加载算法

DOI:
10.1007/s11771-009-0021-7
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发表时间:
2009-02
期刊:
中南工业大学学报(英文版)
影响因子:
--
通讯作者:
Zhao Chong-bin
Zhao Chong-bin
中科院分区:
其他
文献类型:
--
作者:
Peng Sheng-lin;Hobbs, B. E.;Liu Liang-ming;Ord, A.;Zhao Chong-bin

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基于静力问题的等效波速为无穷大和动力问题的波速为有限值这一事实,提出了一种与显式动力松弛方法相结合的有效加载算法,以产生静力问题的有意义的数值解。显式动力松弛方法的核心是将一个与时间无关的静态问题转化为一个人工与时间相关的动态问题。相关的数值测试结果表明:(1)所提出的有效加载算法能够使静态问题中的外加载荷在给定的载荷增量内传播到整个系统,从而获得与时间无关的静态问题的解;(2)所提出的有效加载算法可以直接应用于粒子模拟方法来求解范围广泛的静态问题。
Based on the fact that a static problem has an equivalent wave speed of infinity and a dynamic problem has a wave speed of finite value, an effective loading algorithm associated with the explicit dynamic relaxation method was presented to produce meaningful numerical solutions for static problems. The central part of the explicit dynamic relaxation method is to turn a time-independent static problem into an artificial time-dependent dynamic problem. The related numerical testing results demonstrate that: (1) the proposed effective loading algorithm is capable of enabling an applied load in a static problem to be propagated throughout the whole system within a given loading increment, so that the time-independent solution of the static problem can be obtained; (2) the proposed effective loading algorithm can be straightforwardly applied to the particle simulation method for solving a wide range of static problems.
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