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基于iBeam3单元的冂形结构变形场重构算法

李龙飞 陶翀骢 张超 季宏丽

南京航空航天大学学报2025,Vol.57Issue(1):120-129,10.
南京航空航天大学学报2025,Vol.57Issue(1):120-129,10.DOI:10.16356/j.1005-2615.2025.01.012

基于iBeam3单元的冂形结构变形场重构算法

Deformation Field Reconstruction Algorithm of Frame Structure Based on iBeam3 Element

李龙飞 1陶翀骢 1张超 1季宏丽1

作者信息

  • 1. 南京航空航天大学航空航天结构力学及控制全国重点实验室,南京 210016
  • 折叠

摘要

Abstract

Structural deformation,as one of the important indicators of structural health monitoring,is crucial for evaluating structural strength performance.In practical engineering,due to engineering use and other factors,the number and placement of strain sensors are limited,resulting in reduced accuracy of structural deformation reconstruction.To address the above problem,this paper proposes a strain field reconstruction algorithm based on two-node inverse beam elements.First,the structure is discretized using two-node beam elements.An error function is constructed based on the principles of Timoshenko beam theory and least squares error theory,which evaluates the discrepancy between the theoretical strains within the element and the measured strains.The strain field distribution of the structure is reconstructed using discrete strain measurement points,and this serves as the foundation for reconstructing the structural deformations.The effectiveness of the algorithm is validated through simulations in ABAQUS and experimental tests.The results indicate that the algorithm can effectively reconstruct structural deformations even with a limited number of strain measurement points,reducing the relative error by 5%compared with directly using the strain data from measurement points.It has significant implications for structural health monitoring.

关键词

逆有限元法/逆梁单元/应变场重构/实测结构应变/变形重构

Key words

inverse finite element method/inverse beam element/strain field reconstruction/measured structural strain/deformation reconstruction

分类

信息技术与安全科学

引用本文复制引用

李龙飞,陶翀骢,张超,季宏丽..基于iBeam3单元的冂形结构变形场重构算法[J].南京航空航天大学学报,2025,57(1):120-129,10.

南京航空航天大学学报

OA北大核心

1005-2615

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