机械科学与技术2025，Vol.44Issue(2)：236-247,12.DOI:10.13433/j.cnki.1003-8728.20230172
结合区间分析和去噪正则化的载荷识别与结构响应重构
Force Identification and Structural Response Reconstruction Combining Denoising Regularization and Interval Analysis
摘要
Abstract
Aiming at the problems that the load is difficult to obtain and the measurement responses include uncertainties in the structural response reconstruction,a load identification and structural response reconstruction method combining the denoising regularization and the interval analysis is proposed.Firstly,the reconstruction equations for structural dynamic response and external load are derived on the basis of the state space model.Then,the wavelet transform threshold method is introduced to denoise the measurement responses,and the grey mathematical method is adopt to estimate the interval of the denoised measurement responses,and the interval median and the internal radius of the responses are obtained to describe the uncertainties of the measurement responses.Finally,the Tikhonov regularization is used to deal with the ill-posed problem in the load identification,so as to invert the estimation interval of the external load to realize the interval response reconstruction of the structure.The results indicate that the method can fully consider the uncertainty of the measurement data and effectively estimate the uncertainty interval of the load and the structural response.关键词
响应重构/载荷识别/去噪正则化/测量不确定性/区间分析Key words
response reconstruction/force recognition/denoising regularization/measurement uncertainties/interval analysis分类
机械工程引用本文复制引用
石咏荷,殷红,彭珍瑞,史鹏程,王增辉..结合区间分析和去噪正则化的载荷识别与结构响应重构[J].机械科学与技术,2025,44(2):236-247,12.基金项目
国家自然科学基金项目(62161018)、甘肃省自然科学基金项目(20JR10RA234)及甘肃省"创新之星"项目(2022CXZX-569) （62161018）
