工程设计学报2026，Vol.33Issue(2)：147-158,12.DOI:10.3785/j.issn.1006-754X.2026.05.213
基于证据理论的结构高维全场响应不确定性分析
Uncertainty analysis of high-dimensional full-field structural response based on evidence theory
摘要
Abstract
The propagation analysis of high-dimensional structural responses under complex uncertain variables is prone to problems such as low modeling efficiency and poor analytical accuracy.To address this issue,a rapid analysis method for high-dimensional structural response uncertainty based on evidence theory was proposed.Firstly,the basic probability assignment of evidence variables was utilized to generate sample sets efficiently via optimal Latin hypercube sampling.Secondly,principal component analysis was applied to reduce the dimensionality of the high-dimensional structural responses,extracting low-dimensional features and eigenvectors to decrease modeling complexity.Finally,an extreme learning machine was employed to construct the mapping relationship between the uncertainty parameters and the low-dimensional features,enabling the prediction of uncertainty propagation at any position of the high-dimensional responses with respect to the input variables.Validation through the examples demonstrated that the proposed method could effectively quantify the uncertainty distribution at arbitrary positions of both high-dimensional time-domain and spatial responses,achieving high accuracy with relatively high modeling efficiency.The proposed method can significantly reduce the complexity of uncertainty analysis for high-dimensional full-field responses and serve as an effective tool for uncertainty propagation analysis of complex engineering structures.关键词
结构不确定性/证据理论/极限学习机/不确定性传播Key words
structural uncertainty/evidence theory/extreme learning machine/uncertainty propagation分类
机械制造引用本文复制引用
赵越,张金鹤,智晋宁..基于证据理论的结构高维全场响应不确定性分析[J].工程设计学报,2026,33(2):147-158,12.基金项目
国家自然科学基金资助项目(52505272),山西省基础研究计划资助项目(202403021222198),太原科技大学科研启动资金资助项目(20242016) （52505272）
