Reliability analysis method based on hybrid uncertainty variables and application thereof

An analysis method and uncertainty technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve complex and technical problems that need to be improved

Pending Publication Date: 2021-05-11
SHANGHAI UNIV OF ENG SCI
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

At present, the reliability analysis method of a single type of uncertainty has been relatively mature in the engineering field, but the

Method used

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  • Reliability analysis method based on hybrid uncertainty variables and application thereof
  • Reliability analysis method based on hybrid uncertainty variables and application thereof
  • Reliability analysis method based on hybrid uncertainty variables and application thereof

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0073] A reliability analysis method based on mixed uncertain variables, the steps are as follows figure 1 Shown:

[0074] (1) Variable processing and space conversion, specifically: first, the interval variable is probabilized into a random variable, and then the random variable obtained from the probabilization process and the original random variable x (initial input variable) are transformed into standard normal The random variable U of the distribution;

[0075] (2) Initialization, specifically: set the cut sets α and β of fuzzy variables (initial input variables) in two different directions to 0.5, define the step lengths of α and β as dα and dβ respectively, and make dα=0.1 , dβ=-0.1;

[0076] (3) Cut-set processing of fuzzy variables, the specific processing formula is as follows:

[0077]

[0078]

[0079]

[0080] in, Respectively, fuzzy variable X under α cut set and β cut set f range of values, respectively the lower and upper bounds of respe...

Embodiment 2

[0112] An electronic device comprising one or more processors, one or more memories, one or more programs, and an input device;

[0113]The input device is used to input the initial input variable, and one or more programs are stored in the memory, and when one or more programs are executed by the processor, the electronic equipment is executed as in Embodiment 1 based on mixed uncertainty Variable reliability analysis method.

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Abstract

The invention discloses a reliability analysis method based on hybrid uncertainty variables and application thereof, and the method comprises the following steps: performing variable processing, including interval variable processing and fuzzy variable processing, for interval variable processing, converting an interval variable x into a random variable U obeying standard normal distribution, fuzzy variable processing comprising fuzzy variable initialization and fuzzy variable set cutting processing; inputting a starting point; calculating uk+ 1; judging a KKT condition; judging convergence; calculating a maximum failure probability and a minimum failure probability under the current cut set; and judging a termination condition. According to the reliability analysis method based on the hybrid uncertainty variables, multiple uncertainty types can be optimized, hybrid reliability analysis with random, interval and fuzzy uncertainty variables at the same time can be completed, a brand-new technical processing thought is provided for hybrid reliability analysis, and the processing flow is greatly simplified. The technical level of reliability analysis of various types of uncertainty is improved, and the method has great application prospects.

Description

technical field [0001] The invention belongs to the technical field of structural reliability analysis, and relates to a reliability analysis method based on mixed uncertain variables and its application, in particular to a structural reliability analysis method capable of solving problems involving mixed uncertain variables. Background technique [0002] In traditional engineering design, design variables are usually regarded as deterministic values. However, there are various uncertainties in most practical engineering applications. In order to reduce the impact of uncertainty, there are many reliability analysis methods such as the first-order reliability method (FORM) and the second-order reliability method (SORM). At present, the reliability analysis method of a single type of uncertainty has been relatively mature in the engineering field, but the reliability analysis method of multiple types of uncertainty is more complicated to deal with, and the technology needs to...

Claims

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Application Information

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IPC IPC(8): G06F30/20G06F119/02
CPCG06F30/20G06F2119/02
Inventor 刘新田杨锡洲刘凯张玉茹
Owner SHANGHAI UNIV OF ENG SCI
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