Response Analysis Based on Smallest Interval Set of Parameters for Structures With Uncertainty

WANG Xiao-jun; WANG Lei; QIU Zhi-ping

doi:10.3879/j.issn.1000-0887.2012.09.005

Volume 33 Issue 9

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WANG Xiao-jun, WANG Lei, QIU Zhi-ping. Response Analysis Based on Smallest Interval Set of Parameters for Structures With Uncertainty[J]. Applied Mathematics and Mechanics, 2012, 33(9): 1078-1090. doi: 10.3879/j.issn.1000-0887.2012.09.005

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Response Analysis Based on Smallest Interval Set of Parameters for Structures With Uncertainty

doi: 10.3879/j.issn.1000-0887.2012.09.005

Institute of Solid Mechanics, Beihang University, Beijing 100191, P.R.China

Received Date: 2011-04-29
Rev Recd Date: 2012-04-12
Publish Date: 2012-09-15

Abstract

Abstract

An integral analytic process from quantification to propagation based on limited uncertain parameters was investigated for dealing with practical engineering problems. A new method using the smallest intervalset/hyperrectangle containing all the experimental data was proposed to quantify the uncertainties of parameters. By virtue of the smallest parameter interval-set, the study of uncertainty propagation evaluating the most favorable response and the least favorable response of structures based on interval analysis was then presented. Furthermore, the relationship between the proposed interval analysis method and the classical interval analysis method was discussed. Two numerical examples were performed to demonstrate the feasibility and validity of the developed method.
- quantification analysis,
- smallest interval-set/hyper-rectangle,
- uncertain structural response,
- most favorable response,
- least favorable response

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References(18)

References

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