Railway Equipment Reliability Test Based on Weibull Distribution

2016 ◽  
Vol 851 ◽  
pp. 340-345 ◽  
Author(s):  
Ce Liang ◽  
Jian Wei Yao ◽  
Ke Xin Zhang ◽  
Ze Ping Zhao
Keyword(s):  
Weibull Distribution ◽  
Rank Order ◽  
Least Square Method ◽  
Sampling Plan ◽  
Least Square ◽  
Reliability Test ◽  
Failure Data ◽  
Equipment Reliability ◽  
Interval Censored ◽  
Distribution Parameters

This paper presents a new approach for reliability test sampling plan of Railway equipment. Based on the interval censored failure data, the mean rank order method is used for data pre-process and the least square method is used for fitting the parameters of Weibull distribution, where, the best estimations of distribution parameters are derived. The sampling inspection plan for interval censored data is established when the lifetime follows the Weibull distribution. In the case study, we applied the proposed method to design the reliability test sampling plan of an electric multiple units.

Engine Failure Data Analysis Method Based on Weibull Distribution Model

2011 ◽  
Vol 128-129 ◽  
pp. 850-854
Author(s):  
Ying Kui Gu ◽  
Jing Li
Keyword(s):  
Weibull Distribution ◽  
Distribution Model ◽  
Parallel Model ◽  
Analysis Method ◽  
Failure Data ◽  
Rod System ◽  
Distribution Parameters ◽  
Engine Failure ◽  
Engine Reliability ◽  
Drawing Method

The failure data of crank rod system was analyzed by using weibull parallel model on the base of the simple weibull method. The distribution parameters of the weibull parallel model were estimated by using drawing method. The solving process of WPP drawing method was given in detial. Results show that the fitting degree of the failure data in the weibull parallel model is higher than that of the simple weibull distribution model, and it can more accurately described the failure distribution curve of the system in life cycle, which can provide necessary information for engine reliability indexes computation.

Reliability Evaluation on Machining Center Based on Three-Parameter Weibull Distribution

2012 ◽  
Vol 430-432 ◽  
pp. 1645-1649 ◽  
Author(s):  
Gong Chang Ren ◽  
Zhi Wei Yang ◽  
Bo Min Meng
Keyword(s):  
Weibull Distribution ◽  
Goodness Of Fit ◽  
Location Parameter ◽  
Least Square Method ◽  
Optimization Method ◽  
Reliability Evaluation ◽  
Least Square ◽  
Distribution Model ◽  
Adaptive Genetic Algorithm ◽  
Machining Center

In order to improve the model accuracy of reliability evaluation, the Three-Parameter Weibull Distribution model of time between fault was established by introducing location parameters. The correlation coefficient optimization method based on the adaptive genetic algorithm was firstly applied to estimate the location parameter of the Three-Parameter Weibull Distribution. Shape parameter and scale parameter were obtained by the least square method. The time between failures of these series machining center submitting to three-parameter weibull Distribution was checked by the test hypothesis of goodness-of-fit distribution. Finally, the machining center was carried out reliability evaluation based on the Three-Parameter Weibull Distribution model.

scholarly journals The Reliability Evaluation of Antiskid Valve of CRH2 EMUs Based on Bayes Method

2018 ◽  
Vol 47 (4) ◽  
pp. 268-276
Author(s):  
Jianwei Yang ◽  
Xinghui Qiu ◽  
Zhan Chen
Keyword(s):  
Weibull Distribution ◽  
Theoretical Basis ◽  
Least Square Method ◽  
Least Square ◽  
The Other ◽  
Rail Transit ◽  
Bayes Method ◽  
Braking System ◽  
The Mathematical Model ◽  
Two Parameter

This paper takes the antiskid valve of braking system as the object of the research. Two parameter Weibull distribution is established through analyzing the operational principle of antiskid valve. According to the Bayesian Reliability, the cumulative failure probability of antiskid valve is calculated. Meanwhile, the posterior distribution is obtained through Markov Chain Monte Carlo. By contrast with these two methods that the reliability of antiskid valve is obtained. According to the least square method, the undetermined parameters of the two parameter Weibull distribution were solved. Then, through the sensitivity analysis, the mathematical model is proved more robust. This paper provides a certain theoretical basis for the assessment of antiskid valve’s reliability, and it provides the reference to the other valve in braking system of rail transit vehicle. At the end of the paper, the reliability of the whole antiskid system is calculated through GO method on the basis of the parts' reliability is obtained by Bayes method.

Reliability Analysis and Goodness-of-Fit Test of Pen Cylinder

2012 ◽  
Vol 522 ◽  
pp. 578-581
Author(s):  
Dan Jiang ◽  
Cong Ling Wang ◽  
Ping Yang
Keyword(s):  
Fatigue Life ◽  
Weibull Distribution ◽  
Goodness Of Fit ◽  
Failure Modes ◽  
Least Square Method ◽  
Least Square ◽  
Life Distribution ◽  
Goodness Of Fit Test ◽  
Durability Test ◽  
Two Parameters

According to the durability test results of pen cylinders, including failure modes and fatigue life data, life distribution of pen cylinder is studied. The parameters of Weibull distribution of pen cylinder are estimated by least square method. Using Weibull distribution test, the goodness-of-fit test of the pen cylinder life distribution is carried out. Results of goodness-of-fit test show fatigue life distribution of pen cylinder complies with Weibull distribution with two parameters.

The Research on the Reliability Distribution Model of Wire Cut Electrical Discharge Machining

2013 ◽  
Vol 805-806 ◽  
pp. 1724-1729
Author(s):  
Xue Li ◽  
Chuan Gui Yang ◽  
Xiao Cui Zhu
Keyword(s):  
Electrical Discharge ◽  
Theoretical Basis ◽  
Electrical Discharge Machining ◽  
Least Square Method ◽  
Important Application ◽  
Least Square ◽  
Distribution Model ◽  
Failure Data ◽  
Time Between Failures ◽  
The Common

A method is introduced to analyze the reliability of wire cut electrical discharge machining by using the the failure data. It requires the least square method to estimate the parameters of the distribution model of the time between failures, utilizes the K-S test to test the hypothesis which distribution the reliability data obey, analyzes the common faults, and gives improvement approachs. Results show the fact that the time between failures obey thelognormal distribution, which provides the theoretical basis for improving the reliability of wire cut electrical discharge machining and have important application value.

Direct Assessment of Effective Renal Plasma Flow from Renoscintigraphy with a Gamma Camera and an On-Line Computer

1981 ◽  
Vol 20 (06) ◽  
pp. 274-278
Author(s):  
J. Liniecki ◽  
J. Bialobrzeski ◽  
Ewa Mlodkowska ◽  
M. J. Surma
Keyword(s):  
Count Rate ◽  
Renal Plasma Flow ◽  
Early Period ◽  
Least Square Method ◽  
Least Square ◽  
Uptake Coefficient ◽  
Positive Linear Correlation ◽  
On Line ◽  
Best Fit ◽  
Plasma Activity

A concept of a kidney uptake coefficient (UC) of 131I-o-hippurate was developed by analogy from the corresponding kidney clearance of blood plasma in the early period after injection of the hippurate. The UC for each kidney was defined as the count-rate over its ROI at a time shorter than the peak in the renoscintigraphic curve divided by the integral of the count-rate curve over the "blood"-ROI. A procedure for normalization of both curves against each other was also developed. The total kidney clearance of the hippurate was determined from the function of plasma activity concentration vs. time after a single injection; the determinations were made at 5, 10, 15, 20, 30, 45, 60, 75 and 90 min after intravenous administration of 131I-o-hippurate and the best-fit curve was obtained by means of the least-square method. When the UC was related to the absolute value of the clearance a positive linear correlation was found (r = 0.922, ρ > 0.99). Using this regression equation the clearance could be estimated in reverse from the uptake coefficient calculated solely on the basis of the renoscintigraphic curves without blood sampling. The errors of the estimate are compatible with the requirement of a fast appraisal of renal function for purposes of clinical diagknosis.

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