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基于逆有限元方法的结构变形重构研究

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针对海洋平台结构健康状态难以实时监测的问题,提出一种利用应变信息重构位移场的逆有限元方法.基于Timoshenko梁和最小二乘变分理论,通过提取结构表面应变计算截面中性轴应变,推导应变场及位移场函数,并将应变信息作为逆有限元重构的输入条件,对结构变形进行回构.为提升该方法的容差性,分析了应变片位置偏差及信号噪声对精度的影响.以海洋平台立柱为试验对象,分别利用有限元分析结果及实测结构应变信息来重构位移场.试验结果表明,提出的逆有限元法在不同载荷形式下均有较高的重构精度.
Research on structural deformation reconstruction based on inverse finite element method
An inverse finite element method for reconstructing the displacement field using strain information is pro-posed to address the problem that the structural health status of an offshore platform is challenging to monitor in real-time.This paper is based on Timoshenko beams and least squares variational theory to calculate the neutral axis strain in a section by extracting the strain from the surface of the structure.The strain field and displacement field functions are also derived and the strain information is used as an input condition for the inverse finite element method to reconstruct the structural de-formation.To improve the tolerance of the proposed method,the effects of strain gauge position deviation and signal noise on the accuracy are analyzed.The finite element analysis results and the measured structural strain information are used to reconstruct the displacement field using the marine platform column as the test object,respectively.The test results show that the proposed inverse finite element method has a high reconstruction accuracy under different load forms.

inverse finite elementoffshore platform columndeformation reconstructionstructural health monit-oring

徐庚辉、谌雯、黄辉、胡高波

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华中科技大学船舶与海洋工程学院,湖北武汉 430074

中国舰船研究设计中心,湖北武汉 430064

逆有限元 海洋平台立柱 变形重构 结构健康监测

船舶总体性能创新研究开放基金

33122233

2024

舰船科学技术
中国舰船研究院,中国船舶信息中心

舰船科学技术

CSTPCD北大核心
影响因子:0.373
ISSN:1672-7649
年,卷(期):2024.46(5)
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