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首页> 外文期刊>Applied Mathematical Modelling >A sensitivity-based nonlinear finite element model updating method for nonlinear engineering structures
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A sensitivity-based nonlinear finite element model updating method for nonlinear engineering structures

机译：非线性工程结构的基于灵敏度的非线性有限元模型更新方法

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摘要

This paper presents a novel non-intrusive sensitivity-based nonlinear finite element model updating method in which the local nonlinearity of structure is considered. The sensitivity analysis is conducted to determine the sensitivity of a dynamic response with respect to different nonlinear parameters using the real and imaginary perturbation method in one single calculation. The use of the imaginary perturbation is capable of second-order accuracy in imaginary perturbation sensitivity analysis of the nonlinear finite element model updating procedure. The nonlinear parameters in the finite element model are estimated by using the improved sensitivity-based optimization algorithm. A nonlinear multi-degree-of-freedom oscillator and a cantilever beam with multiple nonlinear supports are studied to verify the accuracy of the proposed method. The effects of measurement noise and initial parameters on the performance of the presented approach are further investigated. Then, the proposed approach is verified by an experimental test of a cantilever beam with a steel slice. The updated nonlinear finite element model is further evaluated by the structure subjected to new excitations. Results show that the proposed method can effectively update the nonlinear finite element model even in the presence of contaminated measurement data and different initial parameters in the finite element model.
机译：本文介绍了一种新的非侵入式灵敏度的非线性有限元模型更新方法，其中考虑了结构的局部非线性。进行灵敏度分析以在一个单个计算中使用真实和虚扰动方法来确定相对于不同非线性参数的动态响应的灵敏度。虚拟扰动的使用能够在非线性有限元模型更新过程的虚拟扰动敏感性分析中具有二阶精度。通过使用改进的基于灵敏度的优化算法估计有限元模型中的非线性参数。研究了非线性多程度的自由度振荡器和具有多个非线性支撑件的悬臂梁，以验证所提出的方法的准确性。进一步研究了测量噪声和初始参数对所提出的方法性能的影响。然后，通过用钢切片的悬臂梁的实验测试来验证所提出的方法。通过新激发的结构进一步评估更新的非线性有限元模型。结果表明，即使在有限元模型中存在污染的测量数据和不同的初始参数，该方法也可以有效更新非线性有限元模型。

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  • 来源
    《Applied Mathematical Modelling》 |2021年第12期|632-655|共24页
  • 作者

    Zhifu Cao; Qingguo Fei; Dong Jiang; Rakesh K. Kapania; Shaoqing Wu; Hui Jin;

  • 作者单位

    College of Aerospace Engineering Chongqing University Shazheng Street No. 174 Chongqing 400044 China;

    Jiangsu Engineering Research Center of Aerospace Machinery Southeast University Nanjing 211189 China;

    Jiangsu Engineering Research Center of Aerospace Machinery Southeast University Nanjing 211189 China School of Mechanical and Electronic Engineering Nanjing Forestry University Nanjing 210037 China;

    Kevin T. Crofton Department of Aerospace and Ocean Engineering Virginia Polytechnic Institute and State University Blacksburg VA 24060 USA;

    Jiangsu Engineering Research Center of Aerospace Machinery Southeast University Nanjing 211189 China Department of Engineering Mechanics Southeast University Nanjing 211189 China;

    Department of Engineering Mechanics Southeast University Nanjing 211189 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Nonlinear finite element model updating; Sensitivity analysis; Dynamic response; Perturbation method; Complex domain;

    机译：非线性有限元模型更新;敏感性分析;动态响应;扰动方法;复杂领域;

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