摘要
针对四边固定弹性薄板结构,提出了一种基于表面应变监测的变形场重构算法,建立了基于弹性薄板表面应变与曲率关系的力学模型。针对大挠度变形的非线性问题,提出了一种基于曲率迭代法的沉降校正算法,建立了薄板应变监测实验平台,根据实验得到的离散应变数据,重建了应变场,获得详细的应变信息。基于曲率迭代法和应变信息得到了薄板在不同荷载作用下的变形曲线。实验结果表明,中心点加载和任意点加载条件下的弹性薄板变形重构误差分别为3.92%和4.95%,重构结果能够准确反映弹性薄板的变形,为复杂约束条件下的变形场重构研究提供参考。
Aiming the four-sided fixed elastic thin plate structure,an algorithm for reconstructing deformation field based on surface strain monitoring is proposed.The mechanical model is established based on the relationship between surface strain and curvature of elastic thin plate.A curvature iteration method is proposed to reconstruct the deformation field of thin plates.Aiming at the non-linear problem of large deflection deformation,a subsidence correction algorithm based on curvature iteration method is proposed.The experimental platform for strain monitoring of thin plate is established,based on the discrete point strain data obtained by experiments,the strain field is reconstructed to obtain detailed strain information.Based on the curvature iteration method and strain information,the deformation curves of thin plates under different loads are obtained.The experimental results show that the deformation reconstruction errors of elastic thin plate under center point and arbitrary point loading conditions are3.92%and 4.95%,respectively,which can accurately present the deformation surface of elastic thin plate which provides a basis for the study of deformation field reconstruction under complex constraints.
作者
张佳明
王文瑞
陆宇
ZHANG Jiaming;WANG Wenrui;LU Yu(School of Mechanical Engineering,Ministry of Education,University of Science and Technology Beijing,Beijing 100083,China;Key Laboratory of Fluid and Interaction with Material,Ministry of Education,University of Science and Technology Beijing,Beijing 100083,China)
出处
《实验室研究与探索》
CAS
北大核心
2021年第11期14-19,共6页
Research and Exploration In Laboratory
基金
国家重点研发计划重点专项(2020YFA0405704)
中央高校基本科研业务费(FRF-GF-19-004AZ)。
关键词
变形重构
应变监测
弹性薄板
曲率
大挠度变形
deformation reconstruction
strain monitoring
elastic thin plate
curvature
large deflection deformation
