TITLE

A hybrid reliability model for structures with truncated probability distributions

AUTHOR(S)
Jiang, C.; Han, X.; Lu, G.
PUB. DATE
September 2012
SOURCE
Acta Mechanica;Sep2012, Vol. 223 Issue 9, p2021
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In traditional reliability analysis, the uncertain parameters are generally treated by some ideal probability distributions with infinite tails, which, however, seems inconsistent with the practical situations as nearly all the uncertain parameters in engineering structures will get their values within a limited interval. To eliminate such an inconsistence and thereby improve the precision of the reliability analysis, the truncated probability distributions are then employed to quantify the uncertainty in this paper, and a corresponding reliability analysis method is developed. Two cases of positional relations are summarized for the uncertainty domain and the failure surface according to whether their intersection set is non-empty or empty. The probability and non-probability convex model methods are employed to deal with these two cases, respectively, and based on it, a hybrid reliability model is then constructed for truncated distribution problems. An efficient approach is also provided to distinguish these two positional relations and thereby determine which one of the probability and non-probability methods should be used when computing a real hybrid reliability. Five numerical examples are investigated to demonstrate the effectiveness of the present method.
ACCESSION #
79194578

 

Related Articles

  • Statistical Estimation of Parameters of Fractionally Stable Distributions*. Bening, V.; Korolev, V. // Journal of Mathematical Sciences;Mar2013, Vol. 189 Issue 6, p899 

    Estimators are constructed for the parameters of fractionally stable distributions.

  • A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations. Qianshun Chang; Xuecheng Tai; Lily Xing // Numerical Mathematics: Theory, Methods & Applications;Nov2009, Vol. 2 Issue 4, p353 

    In this paper, we propose a compound algorithm for the image restoration. The algorithm is a convex combination of the ROF model and the LLT model with a parameter function Ï‘. The numerical experiments demonstrate that our compound algorithm is efficient and preserves the main advantages of...

  • Bayesian estimation of the parameters of the generalized exponential distribution from doubly censored samples. Kim, Chansoo; Song, Seongho // Statistical Papers;Sep2010, Vol. 51 Issue 3, p583 

    This article deals with the problem of estimating parameters and reliability function of the generalized exponential distribution, based on type II doubly censored sample using Bayesian viewpoints. We also consider the problem of predicting an independent future sample from the same...

  • Confidence Bands for the Reliability Function of a Two-Parameter Exponential Model. Hayter, A. J. // Journal of Quality Technology;Apr2012, Vol. 44 Issue 2, p155 

    This paper considers the problem of constructing confidence bands for the reliability function of a two-parameter exponential distribution, which is widely used in reliability analysis. Both two-sided confidence bands and lower and upper one-sided confidence bands are considered with an exact...

  • Posterior Distributions for Bayes Assessment of Photovoltaic Inverter Reliability and Availability. Battistelli, L.; Chiodo, E.; Lauria, D. // International Review of Electrical Engineering;Sep/Oct2012, Vol. 7 Issue 5, p5808 

    The paper deals with the quantitative assessment or prediction of photovoltaic inverter system performance as measured by its reliability and availability, with the aim of developing an efficient and robust evaluation the above performance, in the presence of uncertainty due to a scarce...

  • An Efficient Conjugate- Gradient Method With New Step-Size. Mitras, Ban Ahmad; Hassan, Nada Faleh // Australian Journal of Basic & Applied Sciences;2011, Vol. 5 Issue 8, p1257 

    In this paper, we derived a new formula for calculating the step-size &agr;k for conjugate gradient method. The new formula depend on the two formulas for Barzilai- Borwein(BB) method for convex quadratic function and the value of the variable &thgr; which is generated by using uniform...

  • A NUMERICAL EXPERIMENT ON MATHEMATICAL MODEL OF FORECASTING THE RESULTS OF KNOWLEDGE TESTING.  // Technological & Economic Development of Economy;2011, Vol. 17 Issue 1, p42 

    No abstract available.

  • Optimal Predictive Inferences for Future Order Statistics via a Specific Loss Function. Nechval, Nicholas; Purgailis, Maris; Nechval, Konstantin; Strelchonok, Vladimir // International Journal of Applied Mathematics;2012, Vol. 42 Issue 1, p40 

    The purpose of this paper is to develop technique appropriate for construction of frequentist prediction intervals or prediction bounds for order statistics in future samples when only the functional form of the underlying distribution is specified, but some or all of its parameters are...

  • Cost Analysis of a System under Priority to Repair and Degradation. Kadyan, M. S.; Malik, S. C.; Kumar, Jitender // International Journal of Statistics & Systems;2010, Vol. 5 Issue 1, p1 

    This paper has been designed with an object to carryout cost analysis of a two unit reliability system in which one is operative and the other unit is kept as cold standby. Repair facility is provided immediately whenever needed. The unit becomes degraded after repair. The server inspects the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics