计算力学学报2025，Vol.42Issue(6)：920-927,8.DOI:10.7511/jslx20240730002
联合优化CGLS正则化在载荷识别与响应重构中的应用
Application of jointly optimized CGLS regularization in load identification and response reconstruction
摘要
Abstract
A joint optimization Conjugate Gradient Least Squares(CGLS)regularization method combining the right-hand side with the basis vectors of a specific subspace is proposed to address the discrete ill-posed problem in structural load identification.The method does not need to invert the transfer matrix in the process of load identification,and uses regularization to pretreat the transfer matrix effectively to reduce its ill-condition.Firstly,construct the transfer matrix of the structure based on the state-space model is constructed and the structural load identification and response reconstruction equations are established.Secondly,the load identification equation using Tikhonov regularization is preprocessed and the joint optimization CGLS method is applied to improve the ill-posedness in the load identification process and reduce the ill-conditioning of the transfer function matrix,obtaining the regularized solution of the equation and reconstructing the structural responses.Finally,numerical analysis on the pantograph head structure and simply supported beam model is conducted,and the methods validated with experiments on the simply supported beam model is conducted.The results show that the proposed method can accurately identify structural load and effectively reconstruct structural dynamic responses.关键词
联合优化CGLS正则化/不适定性/载荷识别/响应重构Key words
joint optimization of CGLS regularization/ill-posedness/load identification/response recon-struction分类
机械制造引用本文复制引用
LU Zhipeng,PENG Zhenrui..联合优化CGLS正则化在载荷识别与响应重构中的应用[J].计算力学学报,2025,42(6):920-927,8.基金项目
国家自然科学基金(62161018)资助项目. （62161018）
