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基于降阶模型和数据驱动的动态结构数字孪生方法

王青山 严波 陈岩 邓茂 蔡源斌

王青山, 严波, 陈岩, 邓茂, 蔡源斌. 基于降阶模型和数据驱动的动态结构数字孪生方法[J]. 应用数学和力学, 2023, 44(7): 757-768. doi: 10.21656/1000-0887.430384
引用本文: 王青山, 严波, 陈岩, 邓茂, 蔡源斌. 基于降阶模型和数据驱动的动态结构数字孪生方法[J]. 应用数学和力学, 2023, 44(7): 757-768. doi: 10.21656/1000-0887.430384
WANG Qingshan, YAN Bo, CHEN Yan, DENG Mao, CAI Yuanbin. Digital Twin Method for Dynamic Structures Based on Reduced Order Models and Data Driving[J]. Applied Mathematics and Mechanics, 2023, 44(7): 757-768. doi: 10.21656/1000-0887.430384
Citation: WANG Qingshan, YAN Bo, CHEN Yan, DENG Mao, CAI Yuanbin. Digital Twin Method for Dynamic Structures Based on Reduced Order Models and Data Driving[J]. Applied Mathematics and Mechanics, 2023, 44(7): 757-768. doi: 10.21656/1000-0887.430384

基于降阶模型和数据驱动的动态结构数字孪生方法

doi: 10.21656/1000-0887.430384
(我刊编委严波来稿)
基金项目: 

国家自然科学基金项目 11572060

详细信息
    作者简介:

    王青山(1997—),男,硕士生(E-mail: wqs20166229@163.com)

    通讯作者:

    严波(1965—),男,教授,博士,博士生导师(通讯作者. E-mail: boyan@cqu.edu.cn)

  • 中图分类号: O32

Digital Twin Method for Dynamic Structures Based on Reduced Order Models and Data Driving

(Contributed by YAN Bo, M.AMM Editorial Board)
  • 摘要: 针对受动载荷作用的结构,提出了一种基于降阶模型库和机器学习数据驱动的数字孪生构建方法. 首先根据物理结构服役过程中可能出现的损伤状态,采用有限单元法建立高保真有限元模型. 其次采用Krylov子空间模型降阶方法对模型进行降阶,建立了物理结构各种状态下的降阶模型,形成模型库. 最后利用随机森林机器学习算法训练获得模型选择器,通过物理结构上传感器的数据推断当前物理结构的状态,驱动数字孪生体跟随物理结构一同演化. 设计制作了一个框架结构物理模型,模拟了结构不同位置损伤及不同损伤程度,验证了提出的数字孪生构建方法.
    1)  (我刊编委严波来稿)
  • 图  1  随机森林算法示意图

    Figure  1.  The flowchart of the random forest algorithm

    图  2  物理结构与数字孪生体

      为了解释图中的颜色,读者可以参考本文的电子网页版本,后同.

    Figure  2.  The physical structure and the digital twin

    图  3  空间框架结构示意图

    Figure  3.  Schematic diagram of the frame structure

    图  4  框架结构物理实体及测试系统

    Figure  4.  The physical frame structure and the test system

    图  5  框架结构模型库

    Figure  5.  The model library of the framework structure

    图  6  模型选择器测试数据混淆矩阵

    Figure  6.  The confusion matrix of the testing sample

    图  7  结构实测与数字孪生预测结果比较

    Figure  7.  Comparison of measured values and predicted results by digital twin

    图  8  框架结构数字孪生体给出的典型时刻的应变分布

    Figure  8.  Strain distributions at typical moments predicted by the digital twin of the frame structure

    图  9  位置2损伤演变过程中数字孪生体的更新

    Figure  9.  Update of the digital twin during evolution of damage at point 2

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出版历程
  • 收稿日期:  2022-11-29
  • 修回日期:  2022-12-09
  • 刊出日期:  2023-07-01

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