结合蜉蝣算法和响应面的结构静力损伤识别  

Structural damage identification using mayfly intelligent algorithmand static response surface model

作　　者：宋彦朋[1] 陈辉[1,2] 黄斌[2,3] 吴志峰[4] SONG Yan-peng;CHEN Hui;HUANG Bin;WU Zhi-feng(College of Post and Telecommunication,Wuhan Institute of Technology,Wuhan 430073,China;School of Civil Engineering&Architecture,Wuhan University of Technology,Wuhan 430070,China;Hainan Institute of Wuhan University of Technology,Sanya 572025,China;School of Civil and Hydraulic Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]武汉工程大学邮电与信息工程学院,武汉430073 [2]武汉理工大学土木工程与建筑学院,武汉430070 [3]武汉理工大学海南研究院,三亚572025 [4]华中科技大学土木与水利工程学院,武汉430074

出　　处：《计算力学学报》2024年第4期702-708,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(51578431,51978545);海南省自然科学基金(522CXTD517)资助项目.

摘　　要：提出了一种结合蜉蝣智能搜索算法和静位移响应面的结构损伤识别方法.首先构造了基于灵敏度的静力损伤识别方程残差和位移残差指标的正则化优化目标函数,然后采用人工智能领域的蜉蝣算法来识别结构单元级别的损伤.在优化过程中,为了解决静力加载点和位移测点不一致的问题,利用模型凝聚和位移扩展方法重新构建了损伤识别方程.同时,利用静位移响应面计算目标函数中的位移残差,避免了耗时的有限元计算,提高了优化效率.简支梁的数值算例结果表明,本文方法在寻优速度和精度方面均优于传统的粒子群法和差分进化算法;与单独基于静力损伤识别方程残差或位移残差指标的方法相比,识别损伤更为准确.铝合金悬臂梁损伤识别的静载实验进一步验证了本文方法的高效率和有效性.This paper presents a structural damage identification method combining the Mayfly Intelligent Search Algorithm and Static Response Surface Model (SRSM).First,a regularized optimization objective function is constructed based on the sensitivity-based static residual damage equation and displacement residual index,and then the Mayfly Intelligent Search Algorithm in the field of artificial intelligence is used to identify the damage at the structural element level.In the optimization process,in order to solve the problem of inconsistency between static load points and displacement measurement points,the static condensation and displacement extension methods are used to reconstruct the damage identification equation.At the same time,the displacement residual in the objective function is calculated by using the static displacement SRSM,which avoids the time-consuming finite element calculation and improves the optimization efficiency.The numerical example of a simply-supported simple beam shows that the proposed method is superior to the traditional Particle Swarm (PSO) or Differential Evolution (DE) algorithms in terms of optimization speed and accuracy;compared with the method based on the static residual damage equation or displacement residual index alone, the damage identification is more accurate.The static-load experiment of an aluminum alloy cantilever beam with damage further verifies the efficiency and effectiveness of the method in this paper.

关 键 词：蜉蝣算法 静力损伤识别 响应面 静力损伤方程 静力残差 

分 类 号：O346.5[理学—固体力学]