Uncertain parameter identification using interval response surface model updating

被引：0
作者：
Fang, Sheng-En [1 ]
Zhang, Qiu-Hu [2 ]
Lin, You-Qin [1 ]
Zhang, Xiao-Hua [1 ]
机构：
[1] School of Civil Engineering, Fuzhou University, Fuzhou
[2] School of Civil Engineering, Hefei University of Technology, Hefei
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2015年 / 28卷 / 01期
关键词：
Estimation of parameters; Interval inverse problem; Interval model updating; Interval overestimation; Interval response surface model;
D O I：
10.16385/j.cnki.issn.1004-4523.2015.01.010
中图分类号：
学科分类号：
摘要：
By considering the uncertainties existing in engineering structures, the parameter identification using probabilistic methods may provide more reliable predictions. However sufficient probabilistic information of a structure is often impractical in the real world. Moreover, sometimes engineers require only the limits of parameters and responses. Due to these facts, the application of interval analysis for parameter identification could be more rational. This study develops a new concept of interval response surface model, which incorporates the conventional response surface model with the interval arithmetic. The expression of the response surface is first transformed into a complete-square form and then interval variables are introduced into the transformed expressions. By this means, the usual interval overestimation due to interval arithmetic operations can be avoided providing correct interval predictions. Secondly, the infimum and supremum of interval parameters are used to construct the objective functions for interval inverse optimization. Then using the interval response surface models, the interval model updating procedure is implemented. The proposed method can avoid the complicated sensitivity computation of interval parameters and thus highly simplifies the interval model updating process in the interest of improving the updating efficiency. Lastly, the proposed method has been validated using a numerical mass-spring system and then a set of experimental steel plates. The intervals of their geometric and material parameters are identified and the updating results have proved the feasibility and reliability of the method. ©, 2015, Nanjing University of Aeronautics an Astronautics. All right reserved.
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页码：73 / 81
页数：8
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