计算力学学报Issue(6)：796-802,7.DOI:10.7511/jslx201506013
基于泰勒级数展开的区间反演方法
An interval inverse solution method based on Taylor series expansion
摘要
Abstract
The geometric and material parameters of real-world structures always contain uncertainties. Sometimes such uncertainties should be quantified when precise analyses of structural computational models are required.An inverse problem for identifying interval parameters has been developed in this study.The relationships of mid-values and radii between interval parameters and responses were first established using Taylor series expansion.Then two inverse problems were formed to identify the mid-values and radii of parameters in a successive way.By this means the phenomenon of interval overes-timation was maximally avoided and the process of inverse optimization was highly simplified.The proposed method has firstly been verified against a numerical mass-spring system.Subsequently using the measured modal data of a set of steel plates,the intervals of the geometric and material parameters of the plates were identified.The analysis results demonstrate that the method provides satisfactory accuracy and precision in solving interval inverse problems.Interval overestimation can be effectively restrained.Therefore,the method can be applied to solving practical engineering problems having interval uncertainties.关键词
区间反演/区间参数识别/泰勒级数展开/区间扩张/钢板Key words
interval inverse solution/identification of interval parameters/Taylor series expansion/interval overestimation/steel plates分类
数理科学引用本文复制引用
方圣恩,张秋虎,林友勤..基于泰勒级数展开的区间反演方法[J].计算力学学报,2015,(6):796-802,7.基金项目
国家自然科学基金(51108090) （51108090）
福建省自然科学基金(2011J05129) （2011J05129）
福建省高校杰出青年科研人才培育计划(JA12020) （JA12020）
教育部留学回国人员科研启动基金(LXKQ201201)资助项目 （LXKQ201201）
