Structural fuzzy uncertainty analysis method based on self-adapting matching points

A technology of uncertainty and analysis method, applied in the field of structural fuzzy uncertainty analysis based on self-adaptive collocation, can solve the problem of inaccurate results, and achieve the effect of improving accuracy and reducing efficiency

Active Publication Date: 2018-11-30
BEIHANG UNIV
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In engineering practice, the value of m is usually small to ensure calculation efficiency, and then th

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  • Structural fuzzy uncertainty analysis method based on self-adapting matching points
  • Structural fuzzy uncertainty analysis method based on self-adapting matching points
  • Structural fuzzy uncertainty analysis method based on self-adapting matching points

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Embodiment 1

[0062] In order to understand more fully the characteristics of the invention and its applicability to engineering practice, the present invention aims at figure 2 The ten-bar truss structure shown was subjected to structural fuzzy uncertainty analysis. In the embodiment, the elastic modulus E of the load P and the material is selected as the fuzzy uncertain variable, and its membership function is as image 3 shown. Each rod has a length of 1 meter and a cross-sectional area of ​​0.0001 square meters. In structural response, focus on the displacement of node 2. ξ is set to 10 -6 .

[0063] Table 1 lists the calculation results of the standard fuzzy algorithm and the adaptive collocation method, where λ is the cut level, u λ is the lower bound of the structural response obtained under the λ cut, is the upper bound of the structural response obtained under the λ cut. The standard fuzzy algorithm divides the interval of membership degree [0,1] into 10 segments. But th...

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Abstract

The invention discloses a structural fuzzy uncertainty analysis method based on self-adapting matching points and belongs to the field of structural uncertainty analysis. Firstly, an interval of a membership degree axis is obtained; secondly, a cut set interval of fuzzy uncertain variables is obtained through a fuzzy cut set policy; thirdly, by means of an interval uncertainty analysis method, upper and lower structural response boundaries of the cut set interval are obtained; finally, by means of a two-point trapezoid formula and a three-point trapezoid formula, the area defined by the upperand lower structural response boundaries and the membership degree axis is calculated, whether or not the area is converged is judged, structural response fuzzy distribution is output if yes, or if not, next circulation is carried out until the area is converged. It is shown by a numerical example that by means of the structural fuzzy uncertainty analysis method based on the self-adapting matchingpoints, precise structural response fuzzy distribution can be obtained, and a new approach is provided for structural fuzzy uncertainty analysis.

Description

technical field [0001] The invention relates to the technical field of structural fuzzy uncertainty analysis, in particular to a structural fuzzy uncertainty analysis method based on self-adaptive collocation. Background technique [0002] There are many kinds of uncertainties in engineering. In order to avoid structural failure caused by these uncertain factors, many structural uncertainty analysis methods have been proposed. In general, three types of uncertainty models are used to deal with these uncertainties, namely probability model, interval model and fuzzy model. [0003] In the probability model, the uncertain variable is regarded as a random variable. The perfect probability theory provides a good mathematical basis for random uncertainty analysis. However, the probability model requires a large amount of sample information to construct the accurate probability density distribution of the uncertain variable. However, there are often not enough samples in engineeri...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/20
Inventor 王磊熊闯石庆贺王晓军
Owner BEIHANG UNIV
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