基于组合时间积分算法的碰撞问题振荡现象修正

张立红; 李庆斌; 张艳红; 罗丹旎; 高建勇

doi:10.6052/j.issn.1000-4750.2022.06.S015

基于组合时间积分算法的碰撞问题振荡现象修正

1.
中国水利水电科学研究院流域水循环模拟与调控国家重点实验室，北京 100048
2.
清华大学水沙科学与水利水电工程国家重点实验室，北京 100084
3.
广西大学土木建筑工程学院，广西，南宁 530004

基金项目: 国家自然科学基金项目(52179125)；中国水利水电科学研究院基本科研业务费专项项目(HTEB0145B01202100000)

详细信息

作者简介:
李庆斌(1964−)，男，河南人，教授，博士，主要从事高坝结构分析与智能建造研究(E-mail: qingbinli@tsinghua.edu.cn)

张艳红(1970−)，女，湖北人，教授级高工，博士，主要从事结构工程抗震研究(E-mail: zhangyh@iwhr.com)

罗丹旎(1988−)，女，广西人，副教授，博士，从事深部岩石力学与工程、岩石/混凝土界面断裂力学研究(E-mail: luodanni-716@163.com)

高建勇(1981−)，男，四川人，高工，博士，主要从事水工结构及核电关键设备抗震研究(E-mail: gaojy@iwhr.com)

通讯作者:
张立红(1984−)，女，河北人，高工，博士，主要从事结构工程抗震研究(E-mail: zhanglihong08@tsinghua.org.cn)

中图分类号: TB115
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出版历程
- 收稿日期: 2022-06-15
- 修回日期: 2022-11-25
- 网络出版日期: 2023-02-17
- 刊出日期: 2023-06-24

CORRECTION OF OSCILLATION PHENOMENON IN IMPACT PROBLEM BASED ON COMBINED TIME INTEGRATION ALGORITHM

1.
State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100048, China
2.
State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China
3.
School of Civil Engineering and Architecture, Guangxi Univerisity, Nanning, Guangxi 530004, China

摘要

摘要: 该文提出了一种能够有效改善碰撞问题振荡现象的修正方法。基于有限元方法，采用Lagrange乘子法施加接触约束条件，并与一种无条件稳定的隐式组合时间积分算法相结合对无摩擦动接触问题进行求解。通过引入附加Lagrange乘子对组合时间积分算法得到的速度和加速度进行修正，使其能够满足速度和加速度形式的接触约束的一致性条件。数值算例结果表明：该文提出的修正方法能够有效地改善碰撞问题中初始接触时速度、接触力等的振荡现象，进一步提高了碰撞问题的求解精度。
- 碰撞问题 /
- 组合时间积分算法 /
- Lagrange乘子法 /
- 一致性条件 /
- 振荡现象
Abstract: A correction method is presented which can effectively improve the spurious oscillation phenomenon in impact problems. Based on the finite element method, the Lagrange multiplier method is introduced to impose contact constraints, and an unconditionally stable implicit combined time integration algorithm is combined to solve the frictionless dynamic contact problem. By introducing additional Lagrange multipliers, the velocity and acceleration obtained by the combined time integration algorithm are modified to meet the persistency conditions of the contact constraints in the form of velocity and acceleration. Numerical example results show that the correction method can effectively improve the spurious oscillation of velocity, contact force, etc. at the time of initial contact, and improve the solution accuracy of impact problems.
- impact problem /
- combined time integration algorithm /
- Lagrange multiplier method /
- persistency condition /
- oscillation phenomenon

HTML全文

图 1 两弹性杆对心碰撞示意图及计算条件

Figure 1. Schematic diagram and calculation conditions of the impact between two elastic bars

下载: 全尺寸图片幻灯片

图 2 修正前接触节点的结果时程图

Figure 2. Time history diagram of response results of contact nodes before correction

下载: 全尺寸图片幻灯片

图 3 修正后接触节点的结果时程图

Figure 3. Time history diagram of response results of contact nodes after correction

下载: 全尺寸图片幻灯片

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