噪声与振动控制2019，Vol.39Issue(5)：12-17,6.DOI:10.3969/j.issn.1006-1355.2019.05.003
小样本结构参数不确定性量化及传递分析的信息扩散方法
Structural Parameter Uncertainty Quantification and Propagation Analysis based on Information Diffusion Theory using Limited Data
摘要
Abstract
An accurate determination of probability density function of uncertainty parameters is a key link for structural uncertainty analysis. However, in actual engineering, it is often difficult to realize the key link because of the limited measurement data. In this paper, the structure parameter uncertainty quantification and propagation analysis method based on information diffusion theory using limited data is proposed. First of all, the information diffusion theory is used to estimate the probability density function of the limited measured data. Then, the random sample is generated using the acceptance-rejection method and the mean value and the standard difference value of the uncertainty parameters are obtained by performing the statistical analysis. Finally, on the basis of parameter uncertainty quantification, the structural response variableness caused by parameter uncertainty is quickly calculated using response surface model. The proposed method is validated by a 4-DOF mass-spring system and a set of experimental steel plates. The results show that the variation of the structural response caused by the variation of the parameters can be effectively quantified using the proposed method with the unknown probability distribution of the uncertain parameters when the number of the measurement samples is greater than 20.关键词
振动与波/信息扩散/不确定性量化和传递/响应面/小样本Key words
vibration and wave/information diffusion/uncertainty quantification and propagation/response surface model/limited data分类
建筑与水利引用本文复制引用
骆勇鹏,鲁四平,刘景良..小样本结构参数不确定性量化及传递分析的信息扩散方法[J].噪声与振动控制,2019,39(5):12-17,6.基金项目
国家自然科学基金资助项目(51808122) （51808122）
福建省中青年教师教育科研资助项目(JA170171) （JA170171）
福建省结构工程与防灾重点实验室(华侨大学)开放研究课题资助项目(SEDPFJ-2018-01) （华侨大学）
