基于响应面法和麻雀搜索算法的结构有限元模型修正
DOI:
作者:
作者单位:

作者简介:

通讯作者:

中图分类号:

A

基金项目:

国家自然科学基金(U20A20314,51978111);重庆市自然科学基金创新群体科学基金项目(cstc2019jcyj-cxttX0004);贵州省交通运输科技项目(2018-122-013)


Finite Element Model Updating Based on Response Surface Method and Sparrow Search Algorithm
Author:
Affiliation:

Fund Project:

National Natural Science Foundation of China(U20A20314,51978111);Chongqing Natural Science Foundation Innovative Group Science Fund Project(cstc2019jcyj-cxttX0004);Transportation Science and Technology Projects in Guizhou Province(2018-122-013)

  • 摘要
  • |
  • 图/表
  • |
  • 访问统计
  • |
  • 参考文献
  • |
  • 相似文献
  • |
  • 引证文献
  • |
  • 资源附件
  • |
  • 文章评论
    摘要:

    为了获取准确可靠的结构有限元模型,提供结构运营期间健康监测和状态再分析的基准参照,提出了一种基于响应面法(response surface method , RSM)和麻雀搜索算法(sparrow search algorithm , SSA)的结构有限元模型修正方法。首先,基于响应面法,采用拉丁超立方设计方法进行试验设计获取样本点,以简单低阶数学模型代替特征量与参数间复杂的映射关系,构造结构宏观响应与各参数的解析表达式,基于逐步回归分析进行基函数显著性检验,运用方差理论检验模型精度获取最优响应面模型,并联合结构动力响应残差和构造目标函数;其次,基于麻雀搜索算法,对目标函数进行优化求解得到各参数最优解,代入初始有限元模型中,实现对初始有限元模型的修正;最后,基于RSM-SSA有限元模型修正方法对高维局部损伤悬臂梁数值模型实施修正,验证所提方法的可靠性和可行性,并与基于其他新兴群智能优化算法的有限元模型修正结果进行对比。结果表明:采用该方法修正的参数和频率误差均值分别为6.549%、0.279%,修正效率和精度较其他算法有显著提升,修正后的有限元模型具有较高的精度,可真实反映结构实际力学行为。该方法为结构有限元模型修正提供一种新思路。

    Abstract:

    In order to obtain an accurate and reliable structural finite element model and provide a baseline reference for health monitoring and condition reanalysis during the operation of the structure, a finite element model updating approach based on response surface method (RSM) and sparrow search algorithm (SSA) is proposed. Firstly, based on the response surface method, the Latin hypercube design method is used to obtain the sample points, replace the complex mapping between the characteristic quantities and parameters with a simple low-order mathematical model, construct the analytical expressions for the macroscopic response of the structure and each parameter, perform the base function significance test based on stepwise regression analysis, use variance theory to check the accuracy of the model to obtain the optimal response surface model, and construct the joint structural dynamic response residuals and the objective function. Secondly, based on the sparrow search algorithm, the objective function is optimized and solved to obtain the optimal solution for each parameter, which is brought into the initial finite element model to realize the updating of the initial finite element model. Finally, the RSM-SSA finite element model updating method is used to update the numerical model of a high-dimensional cantilever beam, to verify the reliability and feasibility of the proposed method, and to compare it with the results of the finite element model updating based on other emerging group intelligence optimization algorithms. The result shows that the mean parameter and frequency errors are 6.549% and 0.279%, respectively, and the updating efficiency and accuracy are significantly improved compared with other algorithms, and the corrected finite element model has higher accuracy and can truly reflect the actual mechanical behavior of the structure. This method provides a new idea for structural finite element model updating.

    参考文献
    相似文献
    引证文献
引用本文

徐喆,辛景舟,唐启智,等. 基于响应面法和麻雀搜索算法的结构有限元模型修正[J]. 科学技术与工程, 2021, 21(21): 9094-9101.
Xu Zhe, Xin Jingzhou, Tang Qizhi, et al. Finite Element Model Updating Based on Response Surface Method and Sparrow Search Algorithm[J]. Science Technology and Engineering,2021,21(21):9094-9101.

复制
分享
文章指标
  • 点击次数:
  • 下载次数:
  • HTML阅读次数:
  • 引用次数:
历史
  • 收稿日期:2020-12-01
  • 最后修改日期:2021-05-13
  • 录用日期:2021-04-08
  • 在线发布日期: 2021-08-11
  • 出版日期:
×
律回春渐,新元肇启|《科学技术与工程》编辑部恭祝新岁!
亟待确认版面费归属稿件,敬请作者关注