A Improvement Analysis Model Based on Fuzzy Parameters Reliability

2012 ◽  
Vol 487 ◽  
pp. 764-769 ◽  
Author(s):  
Fang Liang Dong
Keyword(s):  
Reliability Analysis ◽  
Membership Function ◽  
Fuzzy Mathematics ◽  
Analysis Method ◽  
Analysis Model ◽  
Fuzzy Reliability ◽  
Cascade System ◽  
Computing Complexity ◽  
Fuzzy Parameter ◽  
Fuzzy Parameters

Fuzzy Structure; Fuzzy Parameters; Reliability; Membership Function Abstract. This paper takes the fuzzy mathematics' reliability analysis as study object, has conducted the research to the fuzzy parameter system's reliability; comparing with traditional reliability analysis, obtained more precise fuzzy reliability confidence interval formula and carried on the proving based on cascade system, which has solved the computation complexity and the low precise problem in the tradition fuzzy reliability analysis's mass fuzzy operation. Method in the paper has certain promotional value in the fuzzy problem's research. It solved some problems such as the traditional fuzzy reliability analysis in the mass caused by the calculation of fuzzy computing complexity and low-precision. The emphasis of the article is divided into two parts: One is analysis and discussion on traditional module reliability analysis method and the fuzzy number membership function; the other one is proposing one new fuzzy parameter reliability analysis method and the conclusion, based on the former analysis.

A New Fuzzy Parameters Reliability Analysis Model

2011 ◽  
Vol 415-417 ◽  
pp. 741-746
Author(s):  
Hai Jun Chen ◽  
Xi Juan Lou ◽  
Jie Liu
Keyword(s):  
Reliability Analysis ◽  
Great Difficulty ◽  
Fuzzy Membership Function ◽  
Hydraulic Systems ◽  
Analysis Model ◽  
Fuzzy Reliability ◽  
Actual Operation ◽  
Definition Of ◽  
Interval Type ◽  
Fuzzy Parameters

The most difficult form of its periodicity is one of the conditions of the elements which traversing the entire results of the corresponding operations, when the fuzzy numbers in the use of traditional methods of operation principle of extension to express problems. The operation to fuzzy analysis of the process of application of the theory has brought great difficulty, and which making the actual operation can not proceed. Fuzzy parameters of the reliability of the system had been studied, and it had been compared with the traditional fuzzy reliability analysis. We proposed a new reference to the reliability of fuzzy membership function and its form of expression. And it reached a more precise definition of fuzzy reliability of confidence interval type. It solved some problems such as the traditional fuzzy reliability analysis in the mass caused by the calculation of fuzzy computing complexity and low-precision. Hydraulic systems as an example of fuzzy parameters based on the reliability of the information model have proved that the model has good application value.

scholarly journals A new fuzzy parameters reliability analysis model

2012 ◽  
Vol 24 ◽  
pp. 2286-2292 ◽  
Author(s):  
Haijun Chen ◽  
Xijuan Lou
Keyword(s):  
Reliability Analysis ◽  
Analysis Model ◽  
Fuzzy Parameters

A Probabilistic and Interval Hybrid Reliability Analysis Method for Structures with Correlated Uncertain Parameters

2015 ◽  
Vol 12 (04) ◽  
pp. 1540006 ◽  
Author(s):  
C. Jiang ◽  
J. Zheng ◽  
B. Y. Ni ◽  
X. Han
Keyword(s):  
Reliability Analysis ◽  
Structural Reliability ◽  
Correlation Coefficients ◽  
Analysis Method ◽  
Analysis Model ◽  
Probability Interval ◽  
Uncertain Variables ◽  
Uncertainty Model ◽  
Sample Correlation ◽  
Hybrid Reliability

This paper proposes a probability-interval mixed uncertainty model considering parametric correlations and a corresponding structural reliability analysis method. First of all, we introduce the sample correlation coefficients to express the correlations between different kinds of uncertain variables including probability and interval variables. Then dependent parameters are transformed into independent ones through a matrix transformation. A reliability analysis model is put forward, and an efficient method is built to obtain the reliability index or failure probability interval of the structure. Finally, four numerical examples are provided to verify the validity of the method.

Wear Reliability Analysis Method Based on Random Process

2012 ◽  
Vol 155-156 ◽  
pp. 348-351
Author(s):  
Yu Tao Yan ◽  
Zhi Li Sun ◽  
Guang Wei Hu ◽  
Li Fang Liu
Keyword(s):  
Random Process ◽  
Reliability Analysis ◽  
Test Data ◽  
Design Method ◽  
Uniform Design ◽  
Surface Hardness ◽  
Analysis Method ◽  
Analysis Model ◽  
Function Fitting ◽  
Uniform Design Method

The random reliability analysis model for wear was established based on random process theory and wear research. The wear experiment scheme on load, sliding speed, surface hardness and bearing capacity of lubrication was instituted by the uniform design method, and carried out on a vertical universal friction/wear tester. The static wear predication model was established by the partial least squares based on test data. It is found that the wear extent obey to normal distribution by checkout of the probability paper and mathematic expectation function fitting and residuals distribution, the variance function fitting and residuals distribution based on the test data of random process. The reliability of definite working life was gained by calculating with established reliability model, and compared with test data, the analysis method is a valid method for wear reliability.

A Vine-Copula-Based Reliability Analysis Method for Structures With Multidimensional Correlation

2015 ◽  
Vol 137 (6) ◽  
Author(s):  
C. Jiang ◽  
W. Zhang ◽  
X. Han ◽  
B. Y. Ni ◽  
L. J. Song
Keyword(s):  
Reliability Analysis ◽  
Structural Reliability ◽  
Computational Method ◽  
Joint Probability Distribution ◽  
Analysis Method ◽  
Analysis Model ◽  
Copula Functions ◽  
Solution Algorithms ◽  
Reliability Method ◽  
Vine Copula

This paper proposed a vine-copula-based structural reliability analysis method which is an effective approach for performing a reliability analysis on complex multidimensional correlation problems. A joint probability distribution function (PDF) among multidimensional random variables was established using a vine copula function, based on which a reliability analysis model was constructed. Two solution algorithms were proposed to solve this reliability analysis model: one was based on Monte Carlo simulation (MCS) and another one was based on the first-order reliability method (FORM). The former method provides a generalized computational method for a reliability analysis based on vine copula functions and can provide so-called “precise solutions”; the latter method has high computational efficiency and can be used to solve actual complex engineering problems. Finally, three numerical examples were provided to verify the effectiveness of the method.

A New Reliability Analysis Mehthod of Karst Roof Under Pile Tip

2011 ◽  
Vol 90-93 ◽  
pp. 133-136
Author(s):  
Chong Jiang ◽  
Xi Bing Li ◽  
Ke Ping Zhou ◽  
Shan Wei Wang
Keyword(s):  
Reliability Analysis ◽  
Limit Equilibrium ◽  
Case Analysis ◽  
Equilibrium Analysis ◽  
Analysis Method ◽  
Analysis Model ◽  
Interval Numbers ◽  
Limit Equilibrium Analysis ◽  
Performance Function ◽  
The Stability

There is uncertainty during analysis the stability of karst roof under pile tip. The interval numbers are used to express the calculation parameters. Secondly, the limit equilibrium analysis model of karst roof under pile tip is presented based on the present study. Thirdly, the performance function is suggested to evaluate the reliability of the stability of karst roof under pile tip. The non-probabilistic reliability analysis method for stability of karst roof under pile tip is finally founded. This method is proved to be rational and feasible by engineering case analysis.

Parametric Sensitivity Analysis of Fuzzy Reliability Based on the Cut-Set of Fuzzy Mathematics

2010 ◽  
Vol 426-427 ◽  
pp. 60-64
Author(s):  
X.J. Cheng
Keyword(s):  
Sensitivity Analysis ◽  
Computational Model ◽  
Numerical Solution ◽  
Reliability Analysis ◽  
Simulation Method ◽  
Fuzzy Mathematics ◽  
Fuzzy Reliability ◽  
Parametric Sensitivity ◽  
Parametric Sensitivity Analysis ◽  
Cut Set

The problem of the parametric sensitivity of fuzzy reliability analysis was discussed in this paper. Firstly, based on the concept of cut-set of fuzzy mathematics, a computational model is introduced. Then, the expression of cut-set of fuzzy mathematics is built in the case of normal random stress and normal fuzzy strength, and the effect of each parameter is analyzed. Finally, a simulation method is given to obtain the numerical solution of parametric sensitivity, and its validity is proved successfully by an example.

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