Statistical Reconstruction of the One-Dimensional Mechanical and Fatigue Strengths

2007 ◽  
Vol 353-358 ◽  
pp. 2493-2496 ◽  
Author(s):  
Yong Xiang Zhao ◽  
Bing Yang ◽  
Wei Hua Zhang

A Monte-Carlo simulation method for the reconstruction of one-dimensional probabilistic mechanical and fatigue strengths is developed to realize reliability analysis at arbitrary probability and confidence levels. This method is valid to the cases of the probabilistic parameters given at special probabilities (Ps) or probability-confidences (P-Cs). To overcome the shortage of common simulations with numerous samples which is out of true production practice, a simulation policy is newly suggested with 7 to 20 samples for material small specimens and, at most 10 for structural specimens and 5 percentages for the error of simulated parameters fitting the original ones. Details of the method in practice are studied for the six possible statistical distributions i.e. normal, lognormal, three-parameter Weibull, two-parameter Weibull, maximum value, and minimum value ones. The reconstructions of the fatigue limits of 10 Chinese engineering materials have indicated the availability and feasibility of the present method.

2013 ◽  
Vol 401-403 ◽  
pp. 93-96
Author(s):  
Zhi Ming Wang ◽  
Peng Min Lv

This study has finished the crankshaft fatigue strength test by the rational experimental method. And based on the experimental data, the statistical regression analysis of eight commonly used hypothesis distributions, namely Weibull (two-and three-parameter), normal, lognormal, extreme minimum value, extreme maximum value, and exponential (one-and two-parameter), are developed. Then the degree of fitting effect between the experimental data with the eight statistical distributions is evaluated. The result shows that six kinds of statistical distributions, including Weibull (two-and three-parameter), normal, lognormal, extreme minimum value, extreme maximum value, have good fitting effect. In all distributions, the best one is three-parameter Weibull distribution.


2009 ◽  
Vol 12 (18) ◽  
pp. 12-17
Author(s):  
Thong Nguyen

A Vương project is the one of the eight HP Project in the Vu Gia Thu Bon cascade has been approved by Government and has been being constructed since 2004. The first unit of plant proposed will be put into operation in 2008. The content of issue presents the Monte Carlo simulation method for extension of flows series data. The calculation results allow evaluating the yearly electricity energy of plant and the variation of water level in reservoir in the view of statistics.


2007 ◽  
Vol 353-358 ◽  
pp. 66-69
Author(s):  
Bing Yang ◽  
Yong Xiang Zhao ◽  
Wei Hua Zhang

Because of the huge cost involved in data acquisition, probabilistic S-N relations should be given on a wide applicable sense to perform the reliability analysis at arbitrary survival probability-confidence (P-C) level. However, some existent fatigue databases give the material probabilistic S-N relations only with several fixed P-C levels. To realize the reliability analysis on a sense of arbitrary P-C level, a Monte Carlo simulation method is presented for reconstruction of the relations. Test data are re-gotten by a method under the new simulation policy that matching production practice according to original statistical parameters. Details are given with respect to the possible cases of known conditions. The relations are finally determined by maximum likelihood estimation on a general model to realize the analysis at arbitrary P-C level. Reconstruction of the relations for 60Si2Mn spring steel has indicated the availability and feasibility of present method.


Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 159
Author(s):  
Xuelong Hu ◽  
Suying Zhang ◽  
Guan Sun ◽  
Jianlan Zhong ◽  
Shu Wu

Much research has been conducted on two-sided Exponentially Weighted Moving Average (EWMA) control charts, while less work has been devoted to the one-sided EWMA charts. Traditional one-sided EWMA charts involve resetting the EWMA statistic to the target whenever it falls below or above the target, or truncating the observations above or below the target and further applying the EWMA statistic to the truncated samples. In order to further improve the performance of traditional one-sided EWMA mean (X¯) charts, this paper studies the performance of the Modified One-sided EWMA (MOEWMA) X¯ charts to monitor a normally distributed process. The Monte-Carlo simulation method is used to obtain the zero- and steady-state Run Length (RL) properties of the proposed control charts. Through extensive simulations and comparisons with other charts, it is shown that the proposed MOEWMA X¯ charts compare favorably with some existing competing charts. Moreover, by attaching the variable sampling intervals (VSI) feature to the MOEWMA X¯ charts, it is shown that the VSI MOEWMA charts outperform the corresponding charts without the VSI feature. Finally, a real data example from manufacturing process shows the implementation of the proposed one-sided charts.


Physics ◽  
2021 ◽  
Vol 3 (1) ◽  
pp. 85-102
Author(s):  
Vladimir V. Aristov ◽  
Andrey V. Stroganov ◽  
Andrey D. Yastrebov

A new two-parameter kinetic equation model is proposed to describe the spatial spread of the virus in the current pandemic COVID-19. The migration of infection carriers from certain foci inherent in some countries is considered. The one-dimensional model is applied to three countries: Russia, Italy, and Chile. Both their geographical location and their particular shape stretching in the direction from the centers of infection (Moscow, Lombardy, and Santiago, respectively) make it possible to use such an approximation. The dynamic density of the infected is studied. Two parameters of the model are derived from known data. The first is the value of the average spreading rate associated with the transfer of infected persons in transport vehicles. The second is the frequency of the decrease in numbers of the infected as they move around the country, associated with the arrival of passengers at their destination. An analytical solution is obtained. Simple numerical methods are also used to perform a series of calculations. Calculations us to make some predictions, for example, about the time of recovery in Russia, if the beginning of recovery in Moscow is known.


2001 ◽  
Vol 32 (3) ◽  
pp. 133-141 ◽  
Author(s):  
Gerrit Antonides ◽  
Sophia R. Wunderink

Summary: Different shapes of individual subjective discount functions were compared using real measures of willingness to accept future monetary outcomes in an experiment. The two-parameter hyperbolic discount function described the data better than three alternative one-parameter discount functions. However, the hyperbolic discount functions did not explain the common difference effect better than the classical discount function. Discount functions were also estimated from survey data of Dutch households who reported their willingness to postpone positive and negative amounts. Future positive amounts were discounted more than future negative amounts and smaller amounts were discounted more than larger amounts. Furthermore, younger people discounted more than older people. Finally, discount functions were used in explaining consumers' willingness to pay for an energy-saving durable good. In this case, the two-parameter discount model could not be estimated and the one-parameter models did not differ significantly in explaining the data.


2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.


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