基于响应面法与遗传算法的梁式桥有限元模型更新  

Finite element model updating of beam bridge based on response surface method and genetic algorithm

作　　者：徐梅 刘晨光 田石柱[1] XU Mei;LIU Chenguang;TIAN Shizhu(School of Civil Engineering,SUST,Suzhou 215011,China)

机构地区：[1]苏州科技大学土木工程学院,江苏苏州215011

出　　处：《苏州科技大学学报（工程技术版）》2024年第2期41-47,共7页Journal of Suzhou University of Science and Technology（Engineering and Technology Edition）

基　　金：国家自然科学基金项目(52208189);江苏省高等学校基础科学(自然科学)面上项目(21KJB580006);江苏省研究生科研与实践创新计划项目(KYCX22_3288)。

摘　　要：为了使自主开发的智能健康监测平台产生的海量监测数据利益最大化,在平台中添加结构分析模块,扩大平台的应用范围。针对有限元模型分析的准确性与可靠性,提出一种将响应面法和遗传算法相结合的有限元模型更新方法。首先,根据设计资料建立结构理论有限元模型并确定结构更新参数;其次,采用中心复合试验设计方法获取样本点并计算结构响应;接着,基于逐步回归分析进行显著性检验并利用最小二乘法拟合得到更新参数与特征响应之间的响应面函数关系;最后,联合结构静动力响应构造目标函数,利用遗传算法对其进行迭代优化求解,并将最优解代入理论有限元模型中,从而实现结构有限元模型更新。以简支梁为例,选择以弹性模量和截面惯性矩为更新参数,以频率和位移为结构响应,结合动静载试验结果,对其进行有限元模型更新,验证所提方法的有效性。结果表明:模型更新后的有限元模型计算分析结果与实测值的相对误差大幅度降低,且计算值更加接近于实测值。基于响应面法与遗传算法的有限元模型更新方法可以为智能健康监测平台提供更加准确的有限元模型,对损伤识别和预警评估等模块提供了便利。In order to maximize the benefits of the massive monitoring data generated by the self-developed intelligent health monitoring platform,a structural analysis module was added to the platform to expand its application field.A finite element model updating method combining response surface method and genetic algorithm was proposed based on the accuracy and reliability of finite element model analysis.Firstly,a finite element model of structural theory based on design data was established and the structural update parameters were determined;secondly,the central composite design method was used to obtain sample points and calculate structural responses;then,the significance testing was conducted based on the stepwise regression analysis and the response surface function relationship between the updated parameters and the feature response was obtained by the least square fitting method;finally,the objective function was constructed by combining the static and dynamic responses of the structure,the genetic algorithm was used to solve the objective function iteratively,and the optimal solution was substituted into the theoretical finite element model,so as to update the structural finite element model.Taking a simply supported beam as an example,the finite element model of the beam was updated with elastic modulus and moment of inertia of the section as updating parameters,frequency and displacement as structural response,based on the results of static and dynamic tests,which helps verify the effectiveness of the proposed method.The results indicate that the relative error between the updated finite element model calculation and analysis results and the measured values is significantly reduced,and the calculated values are closer to the measured values.The finite element model updating method based on response surface methodology and genetic algorithm can provide a more accurate finite element model for intelligent health monitoring platform,thus providing convenience for modules such as damage identification and early

关 键 词：有限元模型更新 响应面法 动静载试验 遗传算法 

分 类 号：U441[建筑科学—桥梁与隧道工程]