Bounds on structural system reliability in the presence of interval variables

Adduri, Phani R.; Penmetsa, Ravi

doi:10.1016/j.compstruc.2006.10.012

Cited by 32 publications

(7 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…6. Similarly, for Eqs (21) and (22), we define measurement of structural interval reliability and failure are respective…”

Section: E a S U R E M E N T O F S T R U C T U R A L I N T E R V A mentioning

confidence: 99%

“…Based on a reduction of the feasible region, Jiang et al 20 presented a semi-analytical method for calculating the reliability index. Adduri and Penmetsa 21 proposed a technique of transformation to reduce the computational cost of interval reliability analysis. Based on the non-probabilistic set-based model, Wang and Qiu et al 22 presented a measurement of structural non-probabilistic reliability.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Reliability study of fracture mechanics based non‐probabilistic interval analysis model

Qiu

Wang

2010

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

A B S T R A C T In this paper, we advanced a new interval reliability analysis model for fracture reliability analysis. Based on the non-probabilistic stress intensity factor interference model and the ratio of the volume of the safe region to the total volume of the region associated with the variation of the standardized interval variables is suggested as the measure of structural non-probabilistic reliability. We use this theory to calculate the reliability of structure based on fracture criterion. This model needs less uncertain information, so it has less limitation for analysing an uncertain structure or system. Examples of practical application are given to explain the simplicity and practicability of this model by comparing the interval reliability analysis model with probabilistic reliability analysis model.

show abstract

“…6. Similarly, for Eqs (21) and (22), we define measurement of structural interval reliability and failure are respective…”

Section: E a S U R E M E N T O F S T R U C T U R A L I N T E R V A mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Reliability study of fracture mechanics based non‐probabilistic interval analysis model

Qiu

Wang

2010

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…In their model, parameters such as means and standard deviations of some random variables are described as interval variables. Adduri and Penmetsa [14] investigated the method of approximating the bounds of structural system reliability in the presence of interval variables. Luo et al [15,16] developed an iterative procedure to obtain the worst-case points of interval variables and the most probable point (MPP) using a probability and convex set model.…”

Section: Introductionmentioning

confidence: 99%

A Random Field Approach to Reliability Analysis With Random and Interval Variables

2015

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B: Mechanical Engineering

View full text Add to dashboard Cite

Interval variables are commonly encountered in design, especially in the early design stages when data are limited. Thus, reliability analysis (RA) should deal with both interval and random variables and then predict the lower and upper bounds of reliability. The analysis is computationally intensive, because the global extreme values of a limit-state function with respect to interval variables must be obtained during the RA. In this work, a random field approach is proposed to reduce the computational cost with two major developments. The first development is the treatment of a response variable as a random field, which is spatially correlated at different locations of the interval variables. Equivalent reliability bounds are defined from a random field perspective. The definitions can avoid the direct use of the extreme values of the response. The second development is the employment of the first-order reliability method (FORM) to verify the feasibility of the random field modeling. This development results in a new random field method based on FORM. The new method converts a general response variable into a Gaussian field at its limit state and then builds surrogate models for the autocorrelation function and reliability index function with respect to interval variables. Then, Monte Carlo simulation is employed to estimate the reliability bounds without calling the original limit-state function. Good efficiency and accuracy are demonstrated through three examples.

show abstract

“…Based on a reduction of the feasible region, Jiang et al [18] presented a semi-analytical method for calculating the reliability index. Adduri and Penmetsa [19] proposed a technique of transformation to reduce the computational cost of interval reliability analysis. Then based on the interval stress-strength interference model, Wang et al [20] advanced an interval reliability model.…”

Section: Introductionmentioning

confidence: 99%

The reliability analysis of probabilistic and interval hybrid structural system

Wang

Qiu

2010

Applied Mathematical Modelling

View full text Add to dashboard Cite

Interval reliability model Probabilistic and interval hybrid reliability model Main failure modes a b s t r a c tThe aim of this paper is to evaluate the reliability of probabilistic and interval hybrid structural system. The hybrid structural system includes two kinds of uncertain parametersprobabilistic parameters and interval parameters. Based on the interval reliability model and probabilistic operation, a new probabilistic and interval hybrid reliability model is proposed. Firstly, we use the interval reliability model to analyze the performance function, and then sum up reliability of all regions divided by the failure plane. Based on the presented optimal criterion enumerating the main failure modes of hybrid structural system and the relationship of failure modes, the reliability of structure system can be obtained. By means of the numerical examples, the hybrid reliability model and the traditional probabilistic reliability model are critically contrasted. The results indicate the presented reliability model is more suitable for analysis and design of these structural systems and it can ensure the security of system well, and it only needs less uncertain information.Ó

show abstract

Bounds on structural system reliability in the presence of interval variables

Cited by 32 publications

References 14 publications

Reliability study of fracture mechanics based non‐probabilistic interval analysis model

Reliability study of fracture mechanics based non‐probabilistic interval analysis model

A Random Field Approach to Reliability Analysis With Random and Interval Variables

The reliability analysis of probabilistic and interval hybrid structural system

Contact Info

Product

Resources

About