A feasible implementation procedure for interval analysis method from measurement data

作者：Wang Xiaojun^*; Wang Lei; Qiu Zhiping

来源：Applied Mathematical Modelling, 2014, 38(9-10): 2377-2397.

DOI：10.1016/j.apm.2013.10.049

• Uncertainty quantification
• Uncertainty propagation
• Interval analysis method
• Small sample measurement data
• Feasible implementation procedure

An uncertain quantification and propagation procedure via interval analysis is proposed to deal with the uncertain structural problems in the case of the small sample measurement data in this study. By virtue of the construction of a membership function, a finite number of sample data on uncertain structural parameters are processed, and the effective interval estimation on uncertain parameters can be obtained. Moreover, uncertainty propagation based on interval analysis is performed to obtain the structural responses interval according to the quantified results of the uncertain structural parameters. The proposed method can decrease the demanding on the sample number of measurement data in comparison with the classical probabilistic method. For instance, the former only need several to tens of sample data, whereas the latter usually need several tens to several hundreds of them. The numerical examples illustrate the feasibility and validity of the proposed method for non-probabilistic quantification of limited uncertain information as well as propagation analysis.

• 出版日期2014-5-1
• 单位北京航空航天大学