哈尔滨工程大学学报2024，Vol.45Issue(4)：674-681,8.DOI:10.11990/jheu.202305023
有限实验数据下工程结构概率建模及随机响应分析
Probabilistic modeling and stochastic response analysis of engineering structures with experimental data
摘要
Abstract
In our quest to understand the probabilistic modeling of engineering structure inputs from experimental data and the associated response analysis of the constructed model,we have developed a new method that involves the construction of a nonGaussian random model using experimental data,followed by a random response analysis.First,we introduced an innovative random model that utilizes both Karhunen-Loeve expansion and arbitrary polyno-mial chaos(aPC)expansion.We then expanded on this by developing a technique for solving structural random responses based on this stochastic model.Ultimately,we developed the D-optimal weighted interpolation method for estimating the aPC coefficient of the random response,resulting in a highly precise solution for the structural re-sponse.The research indicates that our proposed method offers a practical framework for creating accurate random models and conducting efficient response analyses of engineering systems.These systems,which rely on real-life experimental data,can greatly benefit from our approach.关键词
概率模型/随机响应分析/实验数据/Karhunen-Loeve展开/多项式混沌展开/实验设计/非线性结构/核密度估计Key words
probabilistic model/stochastic response analysis/experimental data/Karhunen-Loeve expansion/poly-nomial chaos expansion/experimental design/nonlinear structure/kernel density estimation分类
数理科学引用本文复制引用
张瑞景,戴鸿哲..有限实验数据下工程结构概率建模及随机响应分析[J].哈尔滨工程大学学报,2024,45(4):674-681,8.基金项目
国家自然科学基金项目(12272109). （12272109）
